Archive

Abstract:

The Boron Nitride Nanotubes (BNNTs) are cylindrical nanostructures made up of nitrogen and boron atoms stacked hexagonally. Comparable to carbon nanotubes, BNNTs have exceptional mechanical, electrical, and thermal capabilities. The increasing prevalence of micro-electromechanical systems in different technological fields underscores the necessity of gaining a comprehension of their mechanical behavior. The behaviour of Functionally Graded Boron Nitride Nanotube-Reinforced Composite (FG-BNNTRC) concerning microbeam cracks during free movement is investigated in this study. BNNT can be added to a matrix of polymers in four distinct manners to give reinforcements. The BNNTRC substance features are expected by the standard of integrating fractured microbeams. This study's primary goal is to investigate the free vibration properties of FG-BNNTRC cracked micro beams. It is crucial to focus on evaluating how different BNNT reinforcing structures, volume %, dimension/thickness ratio, and length scale elements affect vibration frequencies. This paper evaluates the vibration of fractured microbeams having length dependency using the modified couple stress theory. Following examining the effects of various causes, it emerges that the frequencies exhibit noticeable variances. The study shows that when the thickness of the beam becomes closer to the length scale parameter, the size impact gets stronger. The thickness of the beam grows, and the size impact decreases. The results are significant consequences with the design in addition to developing innovative composite materials for micro-scale applications, demonstrating the details of the complex interplay among nanoscale reinforcements and structural integrity.

Keywords:

Beam Theories,Boron Nitride Nanotube,Vibration,Size Effect,Functionally Graded Boron Nitride Nanotube-Reinforced Composite (FG-BNNTRC,

Refference:

I. Arshid, Ehsan, and Saeed Amir. “Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect.” Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 235, no. 5 (2021): 1077-1099.

II. Bakhtiari-Nejad, F. and Nazemizadeh, M., 2016. Size-dependent dynamic modeling and vibration analysis of MEMS/NEMS-based nanomechanical beam based on the nonlocal elasticity theory. Acta Mechanica, 227(5), pp.1363-1379.

III. Chen, D., Zheng, S., Wang, Y., Yang, L. and Li, Z., 2020. Nonlinear free vibration analysis of a rotating two-dimensional functionally graded porous micro-beam using isogeometric analysis. European Journal of Mechanics-A/Solids, 84, p.104083.

IV. Civalek, Ö., Akbaş, Ş.D., Akgöz, B. and Dastjerdi, S., 2021. Forced vibration analysis of composite beams reinforced by carbon nanotubes. Nanomaterials, 11(3), p.571.

V. Eghbali, M., Hosseini, S.A. and Pourseifi, M., 2022. Free transverse vibrations analysis of size-dependent cracked piezoelectric nano-beam based on the strain gradient theory under mechanic-electro forces. Engineering Analysis with Boundary Elements, 143, pp.606-612.

VI. Guo, L.J., Mao, J.J., Zhang, W. and Wu, M., 2023. Stability Analyses of Cracked Functionally Graded Graphene-Platelets Reinforced Composite Beam Covered with Piezoelectric Layers. International Journal of Structural Stability and Dynamics, p.2350164.
VII. Heo, J., Yang, Z., Xia, W., Oterkus, S. and Oterkus, E., 2020. Free vibration analysis of cracked plates using peridynamics. Ships and Offshore Structures, 15(sup1), pp.S220-S229.

VIII. Huang, T., Li, Y., Chen, M. and Wu, L., 2020. Bi-directional high thermal conductive epoxy composites with radially aligned boron nitride nanosheets lamellae. Composites Science and Technology, 198, p.108322.

IX. Jones, R.S., Gonzalez-Munoz, S., Griffiths, I., Holdway, P., Evers, K., Luanwuthi, S., Maciejewska, B.M., Kolosov, O. and Grobert, N., 2023. Thermal Conductivity of Carbon/Boron Nitride Heteronanotube and Boron Nitride Nanotube Buckypapers: Implications for Thermal Management Composites. ACS Applied Nano Materials.

X. Ko, J., Kim, D., Sim, G., Moon, S.Y., Lee, S.S., Jang, S.G., Ahn, S., Im, S.G. and Joo, Y., 2023. Scalable, Highly Pure, and Diameter‐Sorted Boron Nitride Nanotube by Aqueous Polymer Two‐Phase Extraction. Small Methods, 7(4), p.2201341.

XI. Kumar, M. and Sarangi, S.K., 2022. Bending and vibration study of carbon nanotubes reinforced functionally graded smart composite beams. Engineering Research Express, 4(2), p.025043.

XII. Larkin, K., 2020. Nonlinear Size Dependent Analysis and Crack Network Modeling of Micro/Nano-systems (Doctoral dissertation, New Mexico State University).

XIII. Mercan, K. and Civalek, Ö., 2022. Comparative Stability Analysis of Boron Nitride Nanotube using MD Simulation and Nonlocal Elasticity Theory. International Journal of Engineering and Applied Sciences, 13(4), pp.189-200.

XIV. Numanoğlu, H.M. and Civalek, Ö., 2022. Novel size-dependent finite element formulation for modal analysis of cracked nanorods. Materials Today Communications, 31, p.103545.

XV. Rahi, A., 2018. Crack mathematical modeling to study the vibration analysis of cracked micro beams based on the MCST. Microsystem Technologies, 24(7), pp.3201-3215.

XVI. Sahmani, S. and Safaei, B., 2019. Nonlinear free vibrations of bi-directional functionally graded micro/nano-beams including nonlocal stress and microstructural strain gradient size effects. Thin-Walled Structures, 140, pp.342-356.

XVII. Sedighi, H.M., Malikan, M., Valipour, A. and Żur, K.K., 2020. Nonlocal vibration of carbon/boron-nitride nano-hetero-structure in thermal and magnetic fields by means of nonlinear finite element method. Journal of Computational Design and Engineering, 7(5), pp.591-602.
XVIII. Shafiei, H. and Setoodeh, A.R., 2020. An analytical study on the nonlinear forced vibration of functionally graded carbon nanotube-reinforced composite beams on nonlinear viscoelastic foundation. Arch. Mech, 72(2), pp.81-107.

XIX. Sh Khoram-Nejad, E., Moradi, S. and Shishesaz, M., 2021. Free vibration analysis of the cracked post-buckled axially functionally graded beam under compressive load. Journal of Computational Applied Mechanics, 52(2), pp.256-270.

XX. Song, M., Gong, Y., Yang, J., Zhu, W. and Kitipornchai, S., 2020. Nonlinear free vibration of cracked functionally graded graphene platelet-reinforced nanocomposite beams in thermal environments. Journal of Sound and Vibration, 468, p.115115.

XXI. Vandecruys, E., Van de Velde, M., Reynders, E., Lombaert, G. and Verstrynge, E., 2023. Experimental study on acoustic emission sensing and vibration monitoring of corroding reinforced concrete beams. Engineering Structures, 293, p.116553.

XXII. Xu, C., Rong, D., Zhou, Z., Deng, Z. and Lim, C.W., 2020. Vibration and buckling characteristics of cracked natural fiber reinforced composite plates with corner point-supports. Engineering Structures, 214, p.110614.

XXIII. Yan, J.W. , He, J.B. and Tong, L.H., 2019. Longitudinal and torsional vibration characteristics of boron nitride nanotubes. Journal of Vibration Engineering & Technologies, 7, pp. 205-215.

XXIV. Zeighampour, H., Tadi Beni, Y. and Kiani, Y., 2020. Electric field effects on buckling analysis of boron–nitride nanotubes using surface elasticity theory. International Journal of Structural Stability and Dynamics, 20 (12), p.2050137.

XXV. Zeighampour, H. and Tadi Beni, Y., 2020. Buckling analysis of boron nitride nanotube with and without defect using molecular dynamic simulation. Molecular Simulation, 46(4), pp.279-288.

XXVI. Zhao, J.L., Chen, X., She, G.L., Jing, Y., Bai, R.Q., Yi, J., Pu, H.Y. and Luo, J., 2022. Vibration characteristics of functionally graded carbon nanotube-reinforced composite double-beams in thermal environments. Steel Compos Struct, 43(6), pp.797-808.

XXVII. Zhu, L.F., Ke, L.L., Xiang, Y., Zhu, X.Q. and Wang, Y.S., 2020. Vibrational power flow analysis of cracked functionally graded beams. Thin-Walled Structures, 150, p.106626.

UWB TAPERED-SLOT PATCH ANTENNA WITH RECONFIGURABLE DUAL BAND-NOTCHES CHARACTERISTICS

Authors:

Adham R. Azeez, Sadiq A, Zaid A. Abdul Hassain, Amer Abbood Al-behadili, Hind S. Ghazi, Yaqeen S. Mezaal, Ahmed A. Hashim, Aqeel Ali Al-Hilali, Kadhum Al-Majdi

DOI NO:

https://doi.org/10.26782/jmcms.2024.03.00003

Abstract:

An ultra-wideband patch antenna (UWB) that makes use of tapered slot technology is designed and analyzed in this article. Coplanar waveguide feeds the projected antenna. The presented antenna displayed superior UWB performances with -10 dB return-loss bandwidth, ranging from 1.9 to 12 GHz. The projected slot antenna has another benefit of minimizing the interference effect of the narrow band communications conducted by two notch bands operating at 3.3–3.8 GHz (WiMAX) and 5.1-6 GHz (WLAN and HIPERLAN/2), respectively. The Dual-Bands rejection is generated by etching out a complementary split ring resonator (CSRR) from the patch and placing a trapezoidal split ring resonator (TSRR). Adaptable single or dual-band rejection characteristics have been added to the behavior of the UWB antenna, by mounting electronic switching across SRR and CSRR. Furthermore, the presented UWB slot antenna is printed on an FR4-epoxy substrate (ε_r = 4.4) and it has an overall size of . 55x48x1.5 mm³

Keywords:

Bi-directional Antenna,UWB,Split Ring Resonator,Dual Band-Notch Antenna,Reconfigurable Antenna,

Refference:

I. Adham R. Azeez, Sadiq Kadhim Ahmed, A. M. Zalzala, Zaid A. Abdul Hassain, Taha A. Elwi,” Design of High Gain UWB Vivaldi Antenna with Dual Band-Notches Characteristics,” International Journal on Engineering Applications (IREA), Vol.11, No.2, pp.128-136, 2023.
II. Alnahwi F, Abdulhasan K, Islam N. An ultra-wideband to dual-band switchable antenna design for wireless communication applications. IEEE Antenn Wirel Pr let 2015; 14: 1685-1688.
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VI. J. Y. Siddiqui, C. Saha, and Y. M. Antar, Compact dual-SRRloaded UWB monopole antenna with dual frequency and wideband notch characteristics, IEEE Antenn. Wireless Propagat. Ltr. 14 (2014), 100–103

VII. F. Abayaje, S. A. Hashem, H. S. Obaid, Y. S. Mezaal, & S. K. Khaleel, “A miniaturization of the UWB monopole antenna for wireless baseband transmission,” Periodicals of Engineering and Natural Sciences, vol. 8, no. 1, pp. 256–262, 2020.
VIII. Fontana, R. L., “Recent system applications of short pulse ultra-wideband (UWB) technology,” IEEE Trans. MTT, vol. 52, no. 9, pp. 2087-2104, 2004.
IX. Kumar, O.P.; Ali, T.; Kumar,P.; Kumar, P.; Anguera, J. “An Elliptical-Shaped Dual-Band UWBNotch Antenna for Wireless” Applications. Appl. Sci. 2023, 13, 1310. https://doi.org/10.3390/app13031310.
X. Mohamed H, Elkorany A, Saad S, Saleeb D. New simple flower shaped reconfigurable band-notched UWB antenna using single varactor diode. Prog. Electromagn Resc C 2017; 76: 197-206.
XI. Mohamed H, Elkorany A, Saad S, Saleeb D. New simple flower shaped reconfigurable band-notched UWB antenna using single varactor diode. Prog. Electromagn Resc C 2017; 76: 197-206.
XII. Nikolaou S, Kingsley N, Poncha G, Papapolymerou J, Tentzeris M. UWB elliptical monopoles with a reconfigurable band notch using MEMS switches actuated without bias lines. IEEE Trans Antenn Propg 2009; 57: 2242-2251.
XIII. Nickolas Kingsley, etal., “RF MEMS Sequentially Reconfigurable Sierpinski Antenna on a Flexible Organic Substrate With Novel DC–Biasing Technique”, Journal of Microelectro–Mechanical Systems, vol. 16, no. 5, October 2007.
XIV. Ojaroudi N, Ojaroudi M. A novel design of reconfigurable small monopole antenna with switchable band notch and multi-resonance functions for UWB applications. Microw Opt Techn Let 2013; 55: 652-656.
XV. Ojaroudi N, Ghadimi N, Ojaroudi Y, Ojaroudi S. A novel design of microstrip antenna with reconfigurable band rejection for cognitive radio applications. Microw Opt Tecn Let 2014; 56: 2998-3003.

XVI. Qing-Xin Chu, etal, “A Compact Ultra wideband Antenna With 3.4/5.5 GHz Dual Band-Notched Characteristics”, IEEE Transaction on Antennas and Propagation, vol. 56, no.12, 2008.
XVII. Qing-Xin Chu, etal, “A Compact Ultra wideband Antenna With 3.4/5.5 GHz Dual Band-Notched Characteristics”, IEEE Transaction on Antennas and Propagation, vol. 56, no.12, 2008.
XVIII. Tripathi S, Mohan A, Yadav S. A compact fractal UWB antenna with reconfigurable band notch functions. Microw Opt Techn Let 2016; 58: 509-514.
XIX. S. K. Mishra, and J. Mukherjee, “Compact Printed Dual Band-Notched U-Shape UWB Antenna”, Progress In Electromagnetics Research C, vol. 27, 169–181, 2012.
XX. Symeon Nikolaou, etal,. “UWB Elliptical Monopoles with a Reconfigurable Band Notch Using MEMS Switches Actuated Without Bias Lines”, IEEE Transaction on Antennas and Propagation, vol. 57, no. 8, August 2009.
XXI. Y. S. Mezaal, H. H. Saleh, H. Al-saedi, “New compact microstrip filters based on quasi fractal resonator,” Adv. Electromagn., vol. 7, no. 4, pp. 93–102, 2018.
XXII. Y. S. Mezaal, H. T. Eyyuboglu, “A new narrow band dual-mode microstrip slotted patch bandpass filter design based on fractal geometry,” In 2012 7th International Conference on Computing and Convergence Technology (ICCCT), IEEE, pp. 1180–1184, 2012.
XXIII. Y. S. Mezaal, H. T. Eyyuboglu, & J. K. Ali (2013, September). A new design of dual band microstrip bandpass filter based on Peano fractal geometry: Design and simulation results. In 2013 13th Mediterranean Microwave Symposium (MMS) (pp. 1-4). IEEE.
XXIV. Y. S. Mezaal, S. F. Abdulkareem, “New microstrip antenna based on quasi-fractal geometry for recent wireless systems,” In 2018 26th Signal Processing and Communications Applications Conference (SIU), 2018.
XXV. Y. S. Li, W. X. Li and Q. B. Ye, “Compact Reconfigurable UWB Antenna Integrated With Stepped Impedance Stub Loaded Resonator and Switches”, Progress In Electromagnetics Research C, vol. 27, 239–252, 2012.
XXVI. Zaid A. Abdul Hassain, Mustafa Mahdi Ali, and Adham R. Azeez, “Single and Dual Band-Notch UWB Antenna Using SRR/CSRR Resonators, ” Journal of Communications, Vol. 14, No. 6, PP. 504-510, June 2019.
XXVII. Zaid A. Abdul Hassain, Amer A. Osman, and Adham R. Azeez, “First order parallel coupled BPF with wideband rejection based on SRR and CSRR, “Telkomnika, Vol.17, No.6, PP. 2704-2712, December 2019.
XXVIII. Zaid A. Abdul Hassain, Adham R. Azeez, Mustafa M. Ali, and Taha A. Elwi, “A Modified Compact Bi-Directional UWB Tapered Slot Antenna with Double Band-Notch Characteristics, “Advanced Electromagnetics, Vol. 8, No. 4, PP. 74-79, September 2019.

OSCILLATORY BEHAVIOR OF SOLUTIONS OF FRACTIONAL MATRIX DIFFERENTIAL EQUATIONS

Authors:

N. Sasikala, V Sadhasivam

DOI NO:

https://doi.org/10.26782/jmcms.2024.03.00004

Abstract:

In this article, new oscillation criteria for the second-order self-adjoint Matrix differential equations by using the Riccatti technique are obtained. A suitable example is given to illustrate the significance and effectiveness of the result.

Keywords:

Matrix Differential equations,oscillation,selfadjoint,damping,

Refference:

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INVESTIGATION ON PREDICTING FAMILY PLANNING AND WOMEN’S AND CHILDREN’S HEALTH EFFECTS ON BANGLADESH BY CONDUCTING AGE STRUCTURE POPULATION MODEL

Authors:

Rezaul Karim, M. A. Bkar Pk, Md. Asaduzzaman, Pinakee Dey, M. Ali Akbar

DOI NO:

https://doi.org/10.26782/jmcms.2024.03.00005

Abstract:

Bangladesh has a higher population density than most other nations in the world. This project aims to evaluate the effects of experimental family planning and maternal and child health. Bangladesh saw changes in the use of contraceptives, the continuation of contraception, fertility, and infant and child mortality between 2012 and 2022. The project's current goal is to guarantee improved family health. To satisfy the changing needs and priorities of families and to provide better health for all, this paper has proposed several novel initiatives, such as enhanced health and family planning services, and enhancing maternal and child health. The goal of this project is to improve the health of women and children through family planning using an age-structured population model. It also covers the graphical presentation of the data using programs like Matlab, Mathematica, Excel, and others.

Keywords:

Population Model,Sharpe-Lotka model,Gurtin MacCamy model,family planning,women’s and child’s health,

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TWO PHASE SLIP FLOW OF BLOOD IN HEPATIC ARTERY WITH SPECIAL REFERENCE TO HEPATITIS B

Authors:

Ruma Bagchi, Anup Kumar Karak

DOI NO:

https://doi.org/10.26782/jmcms.2024.03.00006

Abstract:

In this paper, we have presented a model of two-phased arterial hepatic blood flow in hepaticarteries remote from the heart and proximate to the Liver keeping in view the nature of hepatic blood circulation in the human body. Blood is supposed to be non-Newtonian of the power-law type. Solutions of the constitutive equations are obtained in analytical as well as in numerical forms. The role of hematocrit is explicit in the determination of blood pressure drop in the case of Hepatic disease Hepatitis B.

Keywords:

Hepatic Blood Flow,Non-Newtonian power law model,Haematocrit,Blood pressure drop,Hepatitis B,

Refference:

I. Häussinger, Dieter, Liver Regeneration. Berlin: De Gruyter. 2011, 1.

II. Hwang S. Microcirculation of the liver. Venous embolization of the liver. DOI 10.1007/978-1-84882- 122-4_2, 2011.

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IV. Upadhyay, V., Prakash, Om and Pandey, P. N. A mathematical model for two phase hepatic blood flow in artery with special reference to hepatitis-B, The Pharma Journal, 82-9,1.1, 2012.

V. Vollmar B, Menger MD. The hepatic microcirculation, mechanistic contributions and therapeutic target in liver injury and repair.Physiol Rev, 2009; 89:1269-1339.

VI. Vollmar B, Menger MD. The hepatic microcirculation: mechanistic contributions and therapeutic targets in liver injury and repair. Physiol. Rev. 1269-1339, 2009.

2-D ANALYTICAL SOLUTION OF SOLUTE TRANSPORT WITH DECAY-TYPE INPUT SOURCE ALONG GROUNDWATER

Authors:

Arun Dubey, Dilip Kumar Jaiswal, Gulrana, A. K. Thakur

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00001

Abstract:

The stabilization of groundwater resources in excellent quality is crucial for both the environment and human societies. To examine the contaminant concentration pattern of infinite and semi-infinite aquifers, mathematical models provide accurate descriptions. The two-dimensional model for a semi-infinite heterogeneous porous medium with temporally dependent and space-dependent (degenerate form) dispersion coefficients for longitudinal and transverse directions is derived in this study. The Laplace Integral Transform Techniques (LITT) is used to find analytical solutions. The dispersion coefficient is considered the square of the velocity which represents the seasonal variation of the year in coastal/tropical regions. To demonstrate the solutions, the findings are presented graphically. Figures are drawn for different times for a function and discussed in the result and discussion section. It is also concluded that a two-dimensional model is more useful than a one-dimensional model for assessing aquifer contamination.

Keywords:

2-D Advection-dispersion equation,Aquifer,Heterogeneity,Pollution,Laplace transform,

Refference:

I. A. Kumar, D. K. Jaiswal, N. Kumar,: ‘Analytical solutions to one dimensional advection-diffusion equation with variable coefficients in semi—infinite media’. J Hydrol., 380:330–337.(2010)

II. A. Sanskrityayn, N. Kumar,: ‘Analytical solution of ADE with temporal coefficients for continuous source in infinite and semi-infinite media’J. Hydrol. Eng. 23 (3). 06017008.(2018). 10.1061/(ASCE)HE.1943-5584.0001599.

III. C. L. Carnahan, and J S Remer,: ‘Non-equilibrium and equilibrium sorption with a linear sorption isotherm during mass transport through porous medium: some analytical solutions’ J Hydrol.73:227–258.(1984)

IV. C. K. Thakur, M. Chaudhary, van der Zee S.E.A.T.M., and M. K.Singh, : ‘Two-dimensional solute transport with exponential initial concentration distribution and varying flow velocity’, Pollution, 5(4), 721-737. (2019) 10.22059/poll.2019.275005.574

V. D. K. Jaiswal, A. Kumar and N. Kumar, : ‘Discussion on ‘Analytical solutions for advection-dispersion equations with time-dependent coefficients by Baoqing Deng, Fie Long, and Jing Gao.’ J. Hydrol. Eng. 25 (8): 07020012 (1-2).(2020).

VI. D. K. Jaiswal, A. Kumar, N. Kumar and M. K. Singh, : ‘Solute transport along temporally and spatially dependent flows through horizontal semi-infinite media: dispersion being proportional to square of velocity.’ J Hydrol. Eng. 16(3) : 228–238. (2011)

VII. D. K. Jaiswal, A. Kumar, N. Kumar and R. R. Yadav, : ‘Analytical solutions for temporally and spatially dependent solute dispersion of pulse type input concentration in one-dimensional semi-infinite media.’ J Hydro-environ Res 2: 254-263.(2009).

VIII. D. K. Jaiswal and Gulrana, ; ‘Study of Specially and Temporally Dependent Adsorption Coefficient in Heterogeneous Porous Medium.’ Appli and Applied Mathe: An Int Journal (AMM) 14 (1):485-496.(2019).

IX. D. K. Jaiswal, N. Kumar and R. R. Yadav, : ‘Analytical solution for transport of pollutant from time-dependent locations along groundwater.’ J. Hydro., 610.(2022).

X. J. Crank, : ‘The mathematics of diffusion.’ Oxford University Press, UK. (1975).

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XIV. L.H. Baetsle:‘Migration of radionuclides in Porous media. In Progress in Nuclear energy.’Series XII, Health Physics (ed). A.M.F. Duhamel Pergmon Press: Elmsford, New York; 707–730.(1969).

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XVI. M. Chaudhary, M K Singh,:‘Study of multispecies convection-dispersion transport equation with variable parameters.’J. Hydrol. 591. DOI: 10.1016/j.jhydrol.2020.125562.(2020).

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XX. P. Singh, P. Kumari and D. K Jaiswal,:‘An Analytical model with off diagonal impact on Solute Transport in Two-dimensional Homogeneous Porous Media with Dirichlet and Cauchy type boundary conditions.’GANITA, Vol.72(1), 299-309.(2022).

XXI. P. Singh, S. K. Yadav and N. Kumar, : ‘One-Dimensional Pollutant’s Advective-Diffusive Transport from a Varying Pulse-Type Point Source through a Medium of Linear Heterogeneity.’ J. Hydrol. Eng, 17(9): 1047–1052. (2012).

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XXIV. R. Kumar, A. Chatterjee, M. K.Singhand V. P. Singh, : ‘Study of solute dispersion with source/sink impact in semi-infinite porous medium.’ Pollution, 6(1),87-98,(2020). 10.22059/poll.2019.286098.656

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XXVIII. R. R. Yadav, D. K. Jaiswal, H. K. Yadav and Gulrana, : ‘Analytical solutions for temporally dependent dispersion through homogeneous porous media.’ Int. J. Hydrology Science and Technology, Vol. 2, No. 1, pp.101–115.(2012).

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XXXI. Y. Sun, A. S. Jayaraman, and G. S. Chirikjian, : ‘Lie group solutions of advection-diffusion equations.’ Phys. Fluids 33, 046604 (2021); 10.1063/5.0048467.

SPECIAL GRAPHS AND THEIR ZAGREB INDICES: A COMPARATIVE STUDY

Authors:

A. P. Pushpalatha, S. Suganthi

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00002

Abstract:

A simple, finite and connected graph is denoted by G=(V,E). The primary Zagreb index, denoted as M₁(G), characterizes the graph topologically by representing a squared degree sum of their vertices. Similarly, M₂(G) denotes a second Zagreb index, that offers a topological measure of summing the degree of the product for adjacent vertices of graph G. We investigate a study of this topological indices M₁(G)&M₂(G) and got some interesting results also.

Keywords:

Zagreb indices,first Zagreb index,second Zagreb index,Fan graph,Barbell graph,Thorn graph,

Refference:

I. Akhtar, S., Imran, M., Gao, W. and Farahani, M. R., : ‘On topological indices of honeycomb networks of graphene networks. Hacet.’ J. Math. Stat. 2018, 47(1) 19-35. 10.15672/HJMS.2017.464

II. Balaban A. T., Motoc I., Bonchev D., Mekenyan O., : ‘Topological indices for structure activity correlations.’ Topics Curr Chem,1983, 114:21-55
III. Das K. C., : ‘On comparing Zagreb indices of graphs.’ MATCH commun math comput Chem, 2010, 63: 433-440.

IV. Das, K. C, : ‘Maximizing the sum of the squares of the degrees of a graph.’ Discrete Math., 285, (2004), 57–66.

V. Das, K. C., Gutman, I. and Zhou, B., : ‘New upper bounds on Zagreb indices.’ J. Math. Chem., 46, (2009), 514–521.

VI. De, N., : ‘The vertex Zagreb index of some graph operations.’ Carpathian Math. Publ. 2016, 8(2), 215-223.

VII. Eliasi M, Iranmanesh A, Gutman I., : ‘Multiplicative versions of first Zagreb index., MATCH Commun Math comput chem, 2012, 68:217-230.

VIII. Farahani, M. R. and Kanna, M. R. (2015), : ‘Generalized Zagreb Index of V-Phenylenic Nanotubes and Nanotori.’ Journal of Chemical and Pharmaceutical Research, 7(11), 241-245.

IX. Gutman I., : ‘Multiplicative Zagreb indices of trees. Bull Soc Math Banja luka, 2011, 18:17-23.

X. Gutman I., Das K. C., : ‘The first Zagreb index 30 years after.’ MATCH Commun Math Comput Chem, 2004, 50: 83-92.

XI. Gutman, I., : ‘Distance in thorny graph.’ Publ. Inst. Math Beograd 63 (1998) 31-36.

XII. Gutman I., : ‘Trinajstic, N.G.T and molecular orbitals totalπ-electron energy of alternant hydrocarbons.’ chem. phys. Lett, 1972,17, 535-535.

XIII. Gupta C. K., Lokesha,v. Shwetha B. S. and Ranjini.P. S., : ‘Graph operations on the symmetric division deg index of ghs.’ Palestine. J. Math. 2017, 6(1), 280-286.

XIV. Khalifcha, M. H., : ‘Yousefi-Azaria, H., Ashrafi, A. R., : ‘The first and second Zagreb indices of some graph operations.’ Discret. Appl. Math. 2009, 157, 804-811.

XV. Kexiang XU, : ‘The Zagreb indices of graphs with a given clique number.’ Applied Mathematics Letters , Volume 6, Issue 11 (2011), Pages1026-
1030.

XVI. Kinkar Ch. Das, Kexiang XU, Junki Nam., : ‘Zagreb indices of graphs’ Frontiers of Mathematics 2015.
XVII. K. C. Das, I. Gutman and B. Horoldagva (2012). : ‘Comparison between Zagreb indices and Zagreb coindices.’ MATCH Commun. Math. Comput. Chem., 68, pp.189 – 198
XVIII. K. C. Das, I. Gutman and B. Zhou (2009). : ‘New Upper Bounds on Zagreb Indices.’ J. Math. Chem.,46, pp. 514 – 521.

XIX. Lokesha, V., Deepika, T., : ‘Symmetric division deg index of tricyclic tetracyclic graphs.’ Int. J. Sci. Eng. Res.2016 ,7(5), 53-55.

XX. R. Pradeep Kumar, Soner Nandappa D., M. R. Rajesh Kanna., : ‘Redefined Zagreb, Randic, harmonic and GA indices of graphene.’ International Journal of Mathematical Analysis Vol.11, (2017), no.10, 493- 502. 10.12988/ijma.2017.7454

XXI. Sridhara G., Kanna , M. R. R. and Indumathi, R. S. : ‘Computation of topological indices of graphene.’ J. Nanometrial (2015) ID 969348.

XXII. K. Thilagavathi and A. Sangeetha Devi, : ‘Harmonious coloring and Proceedings of International Conference on Mathematical and Computer Science.’ Department of Mathematics Loyola College Chennai. (ICMCS 2009) Page no 50-52.

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XXIV. Yan, Z., Liu, H. and Liu, H., : ‘Sharp bounds for the second Zagreb index of unicyclic graphs.’ J. Math. Chem., 42, (2007), 565–574.
10.1007/s10910-006-9132-7

XXV. Zhou, B. and Gutman, I., : ‘Further properties of Zagreb indices.’ MATCH Commun. Math. Comput. Chem., 4, (2005),233–239.

AN ANALYTICAL APPROACH TO THE NON-OSCILLATORY NONLINEAR MECHANICAL SYSTEMS HAVING INTEGRAL MULTIPLE ROOTS AND STRONG NON-LINEARITY

Authors:

Nasir Uddin, Md. Eaqub Ali, Anish Kumar Adhikary, Shuvo Sarker, M. Ali Akbar, Pinakee Dey6

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00003

Abstract:

The existence of over-damped nonlinear differential equations results from a variety of engineering conundrums and physical natural occurrences. Non-oscillatory dynamics with forced over-damping are used in the simulation of nonlinear differential systems. For non-oscillatory nonlinear differential systems, it is possible to derive approximations of solutions using a variety of analytical methods, both with and without external forcing. This paper introduces a novel method for estimating solutions for highly nonlinear damped vibration systems subject to parameterized external forcing. The extended Krylov-Bogoliubov-Mitropolsky (KBM) technique and harmonic equilibrium (HM), which have both been previously developed in the literature, are the foundation of the suggested method. This method was initially created by Krylov-Bogoliubov to discover periodic details in second-order nonlinear differential equations. Several examples are provided to show how the suggested technique is applied. The process is fairly simple and straightforward, and using this formula, the result can be found with very marginal errors from the previous citations. The primary significance of this approach is in its ability to provide approximate analytical solutions of the first order that closely align with the findings obtained by numerical methods. These solutions are applicable to a variety of beginning scenarios and are distinct from those presented in earlier literature. Also, we illustrated the two-dimensional graph of all the solutions that we got in this article by using the data from the mentioned table. The results that we obtained from this method are effective and reliable for better measurements of strong nonlinearities.

Keywords:

Nonlinear non-autonomous system,Damped nonlinear system,External force Vary with time,Perturbation equation,

Refference:

I. C. W. Lim and B. S. Wu, : ‘A new analytical approach to the Duffing-harmonic oscillator.’ Phys. Lett. A, vol. 311, pp. 365–373, 2003.

II. D. P, A. MZ, A. MS, and R. KC., : ‘An asymptotic method for time dependent nonlinear systems with varying coefficient.’ J. Mech. Cont. Math. Sci, vol. 3, no. 2, pp. 354–370, 2008. 10.26782/jmcms.2008.12.00007

III. G. M. Ismail, M. Abul-Ez, N. M. Farea, and N. Saad, : ‘Analytical approximations to nonlin ear oscillation of nanoelectro-mechanical resonators.’ Eur. Phys. J. Plus., vol. 134, no. 47, 2019.
10.1140/epjp/i2019-12399-2

IV. H. M. A., Chowdhury. M. S. H., Ismail G. M., and Yildirim A., : ‘A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators.’ J. Interdiscip Math, vol. 23, no. 7, pp. 1325–1345, 2020. 10.1080/09720502.2020.1745385

V. H.-O.- Roshid, M. Z. Ali, P. Dey, and M. A. Akbar, : ‘Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems.’ J. Adv. Math. Comput. Sci., vol. 32, no. 4, pp. 1–11, 2019, 10.9734/jamcs/2019/v32i430151.

VI. I. S. N. Murty, B. L. Deekshatulu, and G. Krisna. : ‘On an asymptotic method of Krylov-Bogoliubov for overdamped nonlinear systems.’ J. Frank Inst., vol. 288 (1), pp. 49–65, 1969. 10.1016/0016-0032(69)00203-1

VII. K. N. N. and N.N., Bogoliubov, : ‘Introduction to Nonlinear Mechanics.’ Princet. Univ. Press. New Jersey., 1947.

VIII. L. Cveticanin and G.M. Ismail, : ‘Higher-order approximate periodic solution for the os cillator with strong nonlinearity of polynomial type.’ Eur. Phys. J. Plus., vol. 134, 2019.

IX. L. M. J. Lu. ‘The VIM-Pad´e technique for strongly nonlinear oscillators with cubic and harmonic restoring force.’ J. Low Freq. Noise, Vib. Act. Control. 2018. 10.1177/1461348418813612

X. M. A. Hosen, M. S. H. Chowdhury, G. M. Ismail, and and A. Yildirim, : ‘A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators.’ J. Interdiscip. Math., vol. 23, no. 7, pp. 1325–1345, 2020. 10.1080/09720502.2020.1745385

XI. M. Mohammadian, Pourmehran, O., and P. Ju, : ‘An iterative approach to obtaining the nonlinear frequency of a conservative oscillator with strong nonlinearities.’ Internat. Appl. Mech., vol. 54, pp. 470–479, 2018.

XII. M. S. Alam, : ‘Method of solution to the n-th order over-damped nonlinear systems under some special conditions.’ Bull. Call.Math. Soc., vol. 94, no. 6, pp. 437–440, 2002.

XIII. M. Shamsul Alam, : ‘Asymptotic methods for second-order over-damped and critically damped nonlinear system.’ Soochow J. Math, vol. 27, pp. 187–200, 2001.

XIV. M. ShamsulAlam. : ‘Method of solution to the order over-damped nonlinear systems with varying coefficients under some special conditions.’ Bull. Call. Math. Soc., vol. 96, no. 5, pp. 419–426, 2004.

XV. M. W. Ullah, M. S. Rahman, and M. A. Uddin. : ‘A modified harmonic balance method for solving forced vibration problems with strong nonlinearity.’ J. Low Freq. Noise, Vib. Act. Control., vol. 40, no. 2, pp. 1096 – 1104, 2021. 10.1177/1461348420923433

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XVII. M. Shamsul Alam, : ‘Unified Krylov-Bogoliubov-Mitropolskii method for solving n-th order nonlinear system with slowly varying coefficients.’ J. Sound Vib., vol. 265 (5), pp. 987–1002, 2003.
10.1016/S0022-460X(02)01239-7

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XXVIII. U. MW, R. MS, and U. MA., : ‘A modified harmonic balance method for solving forced vibration problems with strong nonlinearity.’ Vib. Act. Control, vol. 40, no. 2, p. 146134842092343, 2020.

XXIX. W. UV and L. L., : ‘On the detection of artifacts in harmonic balance solutions of nonlinear oscillators.’ Appl Math Model., vol. 65, pp. 408–414, 2019.

XXX. Z.L. Tao, G. H. Chen, and K.X. Bai, : ‘Approximate frequency-amplitude relationship for a singular oscillator.’ J. Low Freq. Noise, Vib. Act. Control. 2019. 10.1177/1461348419828880

k-ZUMKELLER LABELING OF CERTAIN GRAPHS

Authors:

Arijit Mishra, Pinku Chandra Dey, Kamal Jyoti Barman

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00004

Abstract:

Let G be any graph. Then a one-one function f:V→ N is said to be a k-Zumkeller labeling of G if the induced function f^*: E→N defined by f^* (xy) =f(x)f(y) satisfies the following conditions: (i) For every xy∈E, f^* (xy) is a Zumkeller number. (ii) |f^* (E)|=k, where |f^* (E)| denotes the number of distinct Zumkeller numbers on the edges of G. In this paper, we prove the existence of k-Zumkeller labeling for certain graphs like tadpole, banana, friendship, and firecracker graphs.

Keywords:

Zumkeller number,banana graph,friendship graph,firecracker graph,tadpole graph,graph labeling.,

Refference:

I. B. J. Balamurugan, K. Thirusangu, DG Thomas (2013), : ‘Strongly multiplicative Zumkeller labeling of graphs’. International Conference on Information and Mathematical Sciences, Elsevier, 349-354.
II. B. J. Balamurugan, K. Thirusangu, DG Thomas (2014), : ‘Zumkeller labeling of some cycle related graphs’. Proceedings of International Conference on Mathematical Sciences (ICMS – 2014), Elsevier, 549-553.
III. B. J. Balamurugan, K. Thirusangu and D.G. Thomas, : ‘Zumkeller labeling algorithms for complete bipartite graphs and wheel graphs.’ Advances in Intelligent Systems and Computing, Springer, 324 (2014), 405-413. 10.1007/978-81-322-2126-5_45
IV. B. J. Murali, K. Thirusangu, R. Madura Meenakshi, : ‘Zumkeller cordial labeling of graphs’. Advances in Intelligent Systems and Computing, Springer, 412 (2015), 533-541.
V. B. J. Balamurugan, K. Thirusangu and D.G. Thomas, : ‘Algorithms for Zumkeller labeling of full binary trees and square grids’. Advances in Intelligent Systems and Computing, Springer, 325 (2015), 183192.
VI. B. J. Balamurugan, K. Thirusangu and D.G. Thomas, : ‘k-Zumkeller Labeling for Twig Graphs’. Electronic Notes in Discrete Mathematics 48 (2015) 119126.
VII. F. Harary, : in Graph theory, Addison-Wesley, Reading Mass (1972).
VIII. I. Cahit, : ‘On cordial and 3-equitable labeling of graph’. Utilitas Math., 370 (1990), 189-198.
IX. J.A. Gallian, : ‘A dynamic survey of graph labeling’. Electronic J. Combin., 17 (2014), DS6.
X. Rosa, : ‘On certain valuations of the vertices of a graph’. N. B. Gordan and Dunad, editors, Theory of graphs, International Symposium, Paris (1966) 349359.
XI. S. Clark, J. Dalzell, J. Holliday, D. Leach, M. Liatti and M. Walsh, : ‘Zumkeller numbers’. Mathematical Abundance conference at Illinois State University, 18.04.2018.
XII. Y. Peng and K. P. S. Bhaskara Rao, : ‘On Zumkeller numbers’. J. Number Theory, 133(4) (2013), 1135-1155. 10.1016/j.jnt.2012.09.020

QUALITATIVE BEHAVIOR OF THIRD-ORDER DAMPED NONLINEAR DIFFERENTIAL EQUATIONS WITH SEVERAL DELAYS

Authors:

M. Sathish Kumar, G. Veeramalai, S. Janaki, V. Ganesan

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00005

Abstract:

In this article, we examine the oscillation of a class of third-order damped nonlinear differential equations with multiple delays. Using the integral average and generalized Riccati techniques, new necessary criteria for the oscillation of equation solutions are established. The major effect is exemplified by an example.

Keywords:

Oscillation,nonlinear differential equations,third-order,delay arguments,damping,

Refference:

I. A. Tiryaki, M. F. Aktas,: ‘Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping.’ Journal of Mathematical Analysis and Applications, 325 (2007), 54-68. 10.1016/j.jmaa.2006.01.001
II. C. S. Bose, R. Udhayakumar, A. M. Elshenhab, M. S. Kumar, J. S. Ro,: ‘Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators’. Fractal and Fractional, 6(10), p.607.
III. G. S. Ladde, V. Lakshmikantham, B. G. Zhang,: ‘Oscillation Theory of Differential Equations with Deviating Arguments’. Monographs and Textbooks in Pure and Applied Mathematics 110, Marcel Dekker, New York, 1987.
IV. J. K. Hale. : ‘Theory of Functional Differential Equations’. Springer: New York, NY, USA, 1977.
V. M. Bohner, S.R. Grace, I. Sager, E. Tunc,: ‘Oscillation of third-order nonlinear damped delay differential equations’. Applied Mathematics and Computation, 278 (2016) 21-32. 10.1016/j.amc.2015.12.036
VI. M. Bohner, S.R. Grace, I. Jadlovska,: ‘Oscillation Criteria for Third-Order Functional Differential Equations with Damping’. Electronic Journal of Differential Equations, 2016 (215), 1-15.
VII. M. H. Wei, M. L. Zhang, X. L. Liu, Y. H. Yu. : ‘Oscillation criteria for a class of third order neutral distributed delay differential equations with damping’. Journal of Mathematics and Computer Science, 19 (2019), 19–28. 10.22436/jmcs.019.01.03
VIII. M. S. Kumar, O. Bazighifan, A. Almutairi, D. N. Chalishajar. : ‘Philos-type oscillation results for third-order differential equation with mixed neutral terms’, Mathematics, 9 (2021), ID 1021. 10.3390/math9091021
IX. M. Sathish Kumar, O. Bazighifan, Al-Shaqsi, F. Wannalookkhee, K. Nonlaopon,: ‘Symmetry and its role in oscillation of solutions of third-order differential equations’, Symmetry, 13, No 8, ID 1485; https://doi.org/10.3390/sym13081485
X. M. Sathish Kumar, S. Janaki, V. Ganesan. : ‘Some new oscillatory behavior of certain third-order nonlinear neutral differential equations of mixed type’. International Journal of Applied and Computational Mathematics, 78 (2018), 1-14. 10.1007/s40819-018-0508-8
XI. M. Sathish Kumar, V. Ganesan. : ‘Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay’. AIMS Mathematics, 5, No 4, (2020), 3851-3874; 10.3934/math.2020250
XII. M. Sathish Kumar, V. Ganesan. : ‘Oscillatory behavior of solutions of certain third-order neutral differential equation with continuously distributed delay’. Journal of Physics: Conference Series, 1850, No 1 (2021), ID 012091. 10.1088/1742-6596/1850/1/012091
XIII. O. Arino, M. L. Hbid, E. A. Dads. : ‘Oscillation Theory for Difference and Functional Differential Equations’. Springer, Berlin (2006).
XIV. S. K. Marappan, A. Almutairi, L. F. Iambor, O. Bazighifan. : ‘Oscillation of Emden–Fowler-type differential equations with non-canonical operators and mixed neutral terms’. S ymmetry, 15(2) (2023), p.553. 10.3390/sym15020553
XV. S. R. Grace, J. R. Graef, E. Tunc. : ‘On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term’. Mathematica Slovaca, vol. 67, no. 2, 2017, pp. 501-508.
10.1515/ms-2016-0284
XVI. S. R. Grace. : ‘Oscillation criteria for third order nonlinear delay differential equations with damping’. Opuscula Mathematica, 35, no. 4 (2015), 485–497. 10.7494/OpMath.2015.35.4.485
XVII. Y. Sun, Y. Zhao, Q. Xie. : ‘Oscillation and Asymptotic Behavior of the Third-Order Neutral Differential Equation with Damping and Distributed Deviating Arguments’. Qualitative Theory of Dynamical Systems, 22, 50 (2023). 10.1007/s12346-022-00733-4
XVIII. Y. Wang, F. Meng, J. Gu. : ‘Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments’. Advances in Difference Equations, 2021, 515 (2021).
10.1186/s13662-021-03661-w

A SIMPLE STOCHASTIC EPIDEMIOLOGICAL MODEL

Authors:

Asish Mitra, Soumya Sonalika

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00006

Abstract:

In the present study, we introduce a simple stochastic differential equation based on the Susceptible-Infectious (SI) model to simulate the progression of COVID-19. For a detailed study, a cumulative number of individuals infected with COVID-19 in Norway from 26 Feb 2020 to 09 March 2023 is utilized. The Euler-Maruyama (EM) method is used to solve the problem. Computer codes are developed in Matlab for the solution process.

Keywords:

Brownian Motion,Covid-19,Epidemiology,Euler-Maruyama (EM) Method,Stochastic Differential Equation (SDE),

Refference:

I. Anderson, R. M. and Nokes, D. J., 1991. : ‘Mathematical models of transmission and control’. In Holland, W.W., Detels, R. and Knox, G. (eds), Oxford Textbook of Public Health, Oxford University Press, Oxford, 225-252.

II. Ang, K. C., : ‘A simple model for a SARS epidemic, Teaching Mathematics and Its Applications.’ 23, 2004, 181-188. 10.1093/teamat/23.4.181

III. Asish Mitra, : ‘Covid-19 in India and SIR Model’. J. Mech. Cont. & Math. Sci., 15 (7), 2020, 1-8. 10.26782/jmcms.2020.07.00001

IV. Asish Mitra, : ‘Modified SIRD Model of Epidemic Disease Dynamics: A case Study of the COVID-19 Coronavirus’. J. Mech. Cont. & Math. Sci., 16, 2021, 1-8. 10.26782/jmcms.2021.02.00001

V. Bissell, C. and Dillon, C. : ‘Telling Tales: Models, Stories and Meanings, For the Learning of Mathematics.’ 20, 2000, 3-11.

VI. Gard, T.C. : ‘Introduction to Stochastic Differential Equations, Marcel Dekker’. New York. 1988,

VII. Higham, D. J. : ‘An algorithmic introduction to numerical simulation of stochastic differential equations’. Society for Industrial and Applied Mathematics Review, 43, 2000, 525-546.

VIII. https://data.humdata.org/dataset/novel-coronavirus-2019-ncov-cases.

IX. Kloeden, P. E., and Platen, E. : ‘Numerical Solutions of Stochastic Differential Equations.’ Springer-Verlag, Berlin. 1999.

X. Oksendal, B. : ‘Stochastic Differential Equations’. 5th ed., Springer-Verlay, Berlin. 1998.

ANALYSIS OF METRO NETWORK BY APPLYING GRAPH THEORETICAL NOTIONS

Authors:

Kamal Jyoti Barman, Arijit Mishra

DOI NO:

https://doi.org/10.26782/jmcms.2024.04.00007

Abstract:

Indian cities are extending and growing very rapidly with the increase in population. As a result, there is a need to implement mass transit systems such as metro rail to meet their day-to-day mobility requirements. In recent years metro rail has grown in many Indian cities. Much like a graph that is made up of vertices and edges, a metro network is composed of stations and a metro route connecting them, where each station represents a vertex and any two vertices are adjacent whenever there is a link (metro route) between them. In this paper, we try to study the structure of a metro network via a graph theoretical approach.

Keywords:

Mass transit systems,Metro network,Metro network graph,

Refference:

I. F. Harary. : ‘Graph Theory’. Addison-Wesley publishing company, Inc. 1969

II. S. K. Bisen. : ‘Graph theory use in transportation problems and railway networks’. International journal of science and research, 2017, Vol-6 (5), 1764-1768.

III. S. Stoilova and V. Stoev. : ‘An application of graph theory which examines the metro networks’. Transport Problems, 2015, vol-10 (2), 35-48.

FEATURES OF THE USE AI IN GENERATIVE DESIGN OF BUILDING AND STRUCTURES

Authors:

Alexander Nikitin, Sergey Sinenko

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00001

admin May 10, 2024

Abstract:

The authors of the article consider what features appear when using artificial intelligence (AI) in the generative design of construction facilities. Every day artificial intelligence becomes more and more important in various fields of human activity. One of the areas of activity in which AI is actively being implemented is construction, namely digital (BIM) and generative (GD) building design. These areas of design include the development of design solutions for an object using computer algorithms and mathematical models. The article examines the positive aspects of implementing AI in generative design, compared to traditional design methods. The use of AI in generative design can improve the quality of produced design documentation by reducing the number of unintentional mechanical and technical errors, providing designers with a more extensive amount of analytical data. The authors focus on the main AI methods that are involved in GD, as well as the problems and limitations that arise when using AI in design.

Keywords:

Artificial Intelligence (AI),generative model (GD),Information Model (BIM),Information Modelling Technologies (TIM),Generative design,

Refference:

I. A. A. Lapidus, V. I. Telichenko, D. K. Tumanov et al., : “Development of methods of technology and organization of construction production to solve energy efficiency problems.” Technol. and organizat. of construct. Product. 2 10–6. (2014).
II. Agkathidis, Ast., : “Generative Design.”, 160, (2015).
III. A. Pakhtaeva, : “Generative design methods.”, Noema (Architecture. Urbanistics. Art). No. 2(7), pp.213-221. (2021).
IV. Bohnacker, H., Gross B., Laub J., Lazzeroni, : “Generative Gestaltung: Entwerfen, Programmieren, Visualisieren.”, Schmidt, Mainz : Generative Gestaltung (generative-gestaltung.de), C. (2009)
V. D.O. Fedchun, : “Comparative analysis of generative, parametric and informational architectural design methods.”, Scientific and practical Online journal “Bulletin of the FEFU School of Engineering”. No. 2(50), pp.103-114. (2018).
VI. Duffy, Alex, H.B., David C., Brown, Mary Lou Maher., : “ Special Issue: Machine learning in design // Artificial Intelligence for Engineering Design, Analysis and Manufacturing.”, 10(2), pp.81-82. (1996).
VII. Fakhratov Mukhammet, Sinenko Sergey, Akbari Mohammad, Asayesh Farid. : “Determination of fundamental criteria in the selection of a construction system.”, E3S, Web. Conf. “Energy Efficient Building Design”, Volume 157, (2020), Key Trends in Transportation Innovation, (KTTI-2019) : https://doi.org/10.1051/e3sconf/202015706025
VIII. Fakhratov M., Sinenko S., Akbari M., Asayesh F. : “ Determination of fundamental criteria in the selection of a construction system” : E3S Web of Conferences, Key Trends in Transportation Innovation, KTTI 2019. (2020). С. 06025.
IX. K. Wong, : “Optimize or Generate?”, Digital Engineering, (2021), : https://www.digitalengineering247.com/article/optimize-or-generate/
X. Krawczyk R. J., : “ Experiments in Architectural Form Generation Using Cellular Automata” , Illinois Institute of Technology, College of Architecture, USA, (2002).
XI. Krish, Sivam, : “A practical generative design method.”, Computer-Aided Design, 43 (1): hhtps:/88–100.doi:10.1016/j.cad.2010.09.009
XII. Meintjes, Keith, : “Generative Design” – What’s That? – CIMdata
XIII. PlanRadar.com: PlanRadar: BIM- technology in Russia and Europe
XIV. R. Berger, : “Digitization in the construction industry.”, Munich, pp. 1—15., (2016)
XV. Raina A., McComb, C., and Cagan, J. : “Learning to Design from Humans: Imitating Human Designers Through Deep Learning”, ASME. J. Mech. Des. (2019)
XVI. S. A. Sinenko, I. M. Savin, : “Digitalization of the activities of construction contractors. Construction production”, No. 2, pp.147 – 151. (2023)
XVII. S.A. Sinenko, : “Selection of Organizational and Technological Solutions for Construction.”, ISEES., (2020)
XVIII. S. A. Sinenko, S. A. Aliev, : “Visualization of process maps for construction and installation works.”, ISEES (2020)
XIX. Sinenko S. A., Doroshin I. N. : “Use of Modern Means and Methods in the Organization and Management in Construction.”, The International Conference on Materials Research and Innovation, (ICMARI), 16-18 December 2019, Bangkok, Thailand. 2020 IOP Conf. Ser.: Mater. Sci. Eng. 753 042017, https://doi.org/10.1088/1757-899X/753/4/042017
XX. Sinenko Sergey, Hanitsch Pavel, Aliev Sheroz, and Volovik Mikhail, : “The implementation of BIM in construction projects”, E3S Web Conf., Volume 164, (2020), Topical Problems of Green Architecture, Civil and Environmental Engineering, 2019, (TPACEE 2019), https://doi.org/10.1051/e3sconf/202016408002
XXI. Sinenko S. A., Poznakhirko T. Y., : “On the Description of a Universal Model of Project System”, International science and technology conference, “EarthScience”, IOP, Conf., Series:, Earth and Environmental Science, 459 (2020) 052051. IOP, Publishing, doi: 10.1088/1755-1315/459/5/052051
XXII. Sinenko S A., an,d Doroshin I. N., : “Economical Aspects of the Cost Regulation for the Construction of Buildings”, International Science and Technology Conference, (FarEastСon 2020) IOP, Conf., Series, : Materials Science and Engineering, 1079, (2021), 052066. IOP Publishing doi:10.1088/1757-899X/1079/5/052066
XXIII. T.S. Metellik, : “Generative design method and ways of its implementation in graphic design.”, Business and design review: journal. Vol. 1, No. 2(6), p.11. (2017)
XXIV. Vishnivetskaya A.I., T. H. Ablyazov, ; “Digital generation as a basis for the digital transformation of construction organizations.” Economics: yesterday, today, tomorrow. vol. 9, pp. 11-20. (2019)

Journal Vol – 19 No – 5, May 2024

EFFECT OF CRAB SHELL ASH (CSA) REINFORCEMENT ON SLIDING WEAR CHARACTERISTICS OF AL-7075 COMPOSITES

Authors:

E. V. Ratna Kumar G., K. Senthil kumar, J. A. Ranga Babu

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00002

admin May 10, 2024

Abstract:

This study examines the sliding wear behavior of aluminium 7075 composites supplemented with crab shell ash (CSA), a waste product from the seafood industry. The composites with different weight percentages of CSA (0%, 1%, 2%, and 3%) were created using the stir-casting procedure. Afterward, a pin-on-disc device was used to evaluate these composites under different sliding conditions. The primary aim of this research is to analyze the effects of CSA content and sliding parameters on composite wear performance. In the experiment, it was discovered that the stability of the composites differed depending on the amount of CSA that was present. The unreinforced aluminum 7075 alloy's wear resistance was enhanced with CSA particles, according to the data. Wear resistance is optimal at 3% CSA content and begins to decline somewhat above this concentration. As a contribution to sustainable material engineering, this study is significant since it improves metal matrix composites' properties by reusing waste materials. This research emphasizes the potential of using waste materials such as crab shell ash to enhance mechanical properties and wear resistance, to promote sustainability in material engineering approaches.

Keywords:

Aluminum 7075,Crab shell ash,Metal matrix composites,Sliding wear behavior,Stir casting,

Refference:

I. Alaneme KK, Adewale TM, Olubambi PA. Corrosion and wear behaviour of Al–Mg–Si alloy matrix hybrid composites reinforced with rice husk ash and silicon carbide. J Mat Res Technol. 2014;3:9-16.
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V. Devaganesh S, Kumar PD, Venkatesh N, Balaji R. Study on the mechanical and tribological performances of hybrid SiC-Al7075 metal matrix composites. J Mater Res Technol. 2020;9:3759-66.
VI. Dirisenapu G, Dumpala L, Reddy SP. Dry sliding tribological behavior of Al7010/B 4 C/BN hybrid metal matrix nanocomposites prepared by ultrasonic-assisted stir casting. Trans Indian Inst Met. 2020;74:149-158.
VII. Gopalakrishnan S, Murugan N. Production and wear characterisation of AA 6061 matrix titanium carbide particulate reinforced composite by enhanced stir casting method. Compos, Part B Eng. 2012;43:302-8.Budinski K.G, (1998). Surface Engg. For Wear Resistance, N.J, USA.
VIII. Ibrahim I, Mohamed F, Lavernia E. Particulate reinforced metal matrix composites: a review. J Mater Sci. 1991;26:1137-56.Chen Q and Li D. Y, (2003). Computer simulation of solid particle erosion, Wear, 254(3-4), pp.203-210.
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X. Kumar PSR, Madindwa MP. Investigation on tribological behaviour of aluminosilicate reinforced AA7075 composites for aviation application. Trans Indian Inst Met. 2020;74:79-88.
XI. Kumar S, Balasubramanian V. Developing a mathematical model to evaluate wear rate of AA7075/SiCp powder metallurgy composites. Wear. 2008;264:1026-34.
XII. Mangin CG, Isaacs JA, Clark JP. MMCs for automotive engine applications. JOM. 1996;48:49-51.
XIII. Mandal A, Chakraborty M, Murty B. Effect of TiB2 particles on sliding wear behaviour of Al–4Cu alloy. Wear. 2007;262:160-6.
XIV. Manoj M, Gadpale V. Synthesis, characterization and dry sliding wear behaviour of Al 7075–MoSi 2 composites prepared by stir casting technique. Trans Indian Inst Met. 2019;72:3153-69.
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Journal Vol – 19 No – 5, May 2024

ADVANCEMENTS IN SATELLITE COMMUNICATION SYSTEMS: CHALLENGES AND OPPORTUNITIES

Authors:

Basim Galeb, Haider Saad, Haitham Bashar, Kadhum Al-Majdi, Aqeel Al-Hilali

DOI NO:

https://doi.org/10.26782/jmcms.2024.05.00003

admin May 10, 2024

Abstract:

From its early days as a fledgling technology, satellite communication has come a long way to become a flourishing component of the global technological ecosystem that determines our increasingly interdependent world. This scholarly essay provides a comprehensive analysis of current developments in satellite communication technology and the several fields in which they might be applied. The essay dives into major inventions that have catapulted this discipline to unparalleled heights, and it spans from the historical origins to the modern accomplishments. This overview elucidates the enormous influence that satellite communication has had on modern civilization, highlighting its central position in allowing global connection, data dissemination, and transformational applications across a variety of industries.

Keywords:

GEO,ISL,LEO,MEO,Satellite communications,

Refference:

I. Abdulwahid, M. M., Al-Ani, O. A. S., Mosleh, M. F., & Abd-Alhmeed, R. A.. : ‘Optimal access point location algorithm-based real measurement for indoor communication’. In Proceedings of the International Conference on Information and Communication Technology. (2019, April) pp. 49-55.
II. Abdulwahid, M. M., Al-Ani, O. A. S., Mosleh, M. F., & Abd-Alhameed, R. A. : ‘Investigation of millimetre-wave indoor propagation at different frequencies’. In 2019 4th Scientific International Conference Najaf (SICN). IEEE.‏ (2019, April). pp. 25-30.
III. Abdulwahid, M. M., Al-Ani, O. A. S., Mosleh, M. F., & Abd-Alhameed, R. A. : ‘A Comparison between Different C-band and mm Wave band Frequencies for Indoor Communication’. J. Commun., 14(10), (2019). PP. 892-899.‏
IV. Abdulwahid, M. M., Al-Hakeem, M. S., Mosleh, M. F., & Abd-Ahmed, R. A. : ‘Investigation and optimization method for wireless AP deployment-based indoor network’. In IOP Conference Series: Materials Science and Engineering (Vol. 745, No. 1, p. 012031). IOP Publishing.‏ (2020, February).
V. Abdulwahid, M. M., & Kurnaz, S. : ‘The channel WDM system incorporates of Optical Wireless Communication (OWC) hybrid MDM-PDM for higher capacity (LEO-GEO) inter-satellite link’. Optik, 170449.‏ (2022).
VI. Abd-Alhameed, R. A., Abdulwahid, M. M., & Mosleh, M. F. : ‘Effects of Antenna Directivity and Polarization on Indoor Multipath Propagation Characteristics for different mm Wave frequencies’. Informatica 2(1). pp. 20-28 March 2021. 10.47812/IJAMECS2020104
VII. Almetwali, A. S., Bayat, O., Abdulwahid, M. M., & Mohamadwasel, N. B. : ‘Design and Analysis of 50 Channel by 40 Gbps DWDM-RoF System for 5G Communication Based on Fronthaul Scenario’. In Proceedings of Third Doctoral Symposium on Computational Intelligence. (2023). (pp. 109-122). Springer, Singapore.‏
VIII. Alhamadani, N. B., & Abdelwahid, M. M. : ‘Implementation of microstrip patch antenna using MATLAB’. Informatica: Journal of Applied Machines Electrical Electronics Computer Science and Communication Systems. 2(1), (2021). Pp. 29-35.‏
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