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LOGIC RETAINING POWER AMONG GENDERS AND EFFECT OF TIME CONSTRAINTS ON THE PERFORMANCE OF UNDERGRADS UNIVERSITY STUDENTS

Authors:

Imtiaz Husain, Hassan Hashim, Syed Azeem Inam, Muhammad Ali, Asif Mehmood Awan, Syed Muhammad Hassan, Naila Rozi

DOI NO:

https://doi.org/10.26782/jmcms.2021.04.00008

Abstract:

Logic has a vital role throughout human history. It considers important for the mental development and performance of the student. The present study was conducted to evaluate the proficiency and logic retaining power and the effect of time constraints on undergraduate university students. Tests comprised of three categories Arithmetic, Algebra, and Geometry. Each section was comprised of 10 questions with four possible answers to respond within the 10 minutes duration. The test was divided into two different questionnaires. One hundred and seventy-five students both males and females took part in the survey and undergo mathematical logic tests. Scores, responding time and differences among the gender profound that males were more logical as compared to females to retain the mathematical logic and performed the assigned task in 23% less time and achieved 20% more scores. Whereas, the significant correlation found among the understanding level of logic, gender gap and the performance among the undergrad's university students (r = 0.963; P<0.05), which depend upon the factor of time constraints as well as the self-concept and concentration about the topic.

Keywords:

Logic Retaining Power,Time constraints,Genders difference,Undergrads university students,

Refference:

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A HIGH GAIN AND HIGH BANDWIDTH REFLECTARRAY ANTENNA FOR 5G COMMUNICATION

Authors:

Abdul Azeem, Shahid Bashir, Awais Khan, Sayed Sabir Shah

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00001

Abstract:

This paper presents the design of high gain and bandwidth reflectarray for 5G networks operating in Millimeter-wave (mmWave) at 28GHz and 38GHz. A polymer benzocylobutene (BCB) is used as substrate material having a dielectric constant of 2.65, and low tan δ ≤ 0.0008. The unit cell is optimized to achieve full phase reflection of 334o over the operating band. Enhanced gain, wider bandwidth and full phase reflection are achieved by making air holes in the substrate. A 15×15 elements reflectarray based on the optimized unit cell is designed to enhance the gain. The reflectarray is excited through horn feed having a gain of 15dB with a  feeding distance of 165mm and 00 offsets. A gain of 23dB was observed at lower operating frequency (i.e 28GHz) and 25dB at upper operating frequency (i.e  38GHz)with a bandwidth of 2GHz  at both operating frequencies.

Keywords:

Reflectarrays,gain,efficiency,unit cell,microwave,millimeter-wave,5G,

Refference:

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X. Muhammad Sohaib Jamal, Samad Baseer, Iqtidar Ali, Farooq Faisal. : ‘ANALYSIS OF CHANNEL MODELLING FOR 5G MMWAVE COMMUNICATION’. J. Mech. Cont.& Math. Sci., Vol.-15, No.-9, September (2020) pp 278-293. DOI : 10.26782/jmcms.2020.09.00023
XI. S. Costanzo, F. Venneri, A. Borgia, and G. Di Massa, “A single-layer dual-band reflectarray cell for 5G communication systems,” Int. J. Antennas Propag., vol. 2019, pp. 8–11, 2019, doi: 10.1155/2019/9479010.

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STRUCTURAL ANALYSIS OF PELTON BUCKET WITH AISI 1020 STEEL AND STRUCTURAL STEEL MATERIAL BY USING SOLID WORKS AND ANSYS

Authors:

Arshad Hussain Jamali, Fida Hussain Jamali, Mujahid Ali, Waseem Akram Channa, Waseem Ahmed Shaikh, Qadir Bakhsh Jamali

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00002

Abstract:

Pelton Turbine is the hydraulic turbine, type of impulse turbine. An Impulse turbine generally suitable for the low flow rate and high head. The discharge water from the nozzle impacts the bucket of the Pelton wheel to produce the hydropower. There are some reasons behind the failure of the Pelton bucket like as: silt erosion, cavitation, fatigue etc. The main reason behind the fatigue failure is the material property and stress concentrations. A high concentration of stresses occurs at the root of the bucket due to its cantilever structure each time a bucket experiences the impact of the water jet. In this work, there are two materials AISI 1020 Steel and Structural Steel have been considered for analyzing the Pelton bucket. For the 3D CAD model of Pelton bucket Solid works 14.0 and for simulation work ANSYS 15.0 software has been used. In simulation work analysis types were static structural. This paper focuses on von-mises stress, total deformation of von-mises strain to analyze the suitable material for the Pelton bucket. From the obtained results it has been observed that among both materials Structural Steel is suitable for bucket due to low-stress concentration, total deformation and strain.

Keywords:

ANSYS,AISI 1020,Structural Steel,Pelton Bucket,Solidworks,

Refference:

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ELECTRICAL PERFORMANCE DEGRADATION ANALYSIS OF FIELD EXPOSED SILICON-BASED PV MODULES

Authors:

Shahab Ahmad, Fahad Ullah Zafar, Muhammad Noman

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00003

Abstract:

Degradation of on-field PV modules is inevitable but a normal process; however, it is a challenging task to explore the causes behind it. Manufacturers and researchers, to know the causes of degradation, employ both destructive and non-destructive procedures. In this study, nine different PV modules from three different manufacturers have been taken and their electrical output data, over several days, has been collected. The electrical parameters of PV modules are compared with the nameplate data to analyze the average yearly degradation in the electrical performance. Moreover, using visual inspection different degradation modes are identified. Finally, it is concluded that environment is not the only factor but the material used and the processing techniques employed by manufacturers are equally responsible for degradation in the output efficiency of PV modules.

Keywords:

Electrical Performance,Degradation modes,PV Reliability,Visual Inspection,PV modules,

Refference:

I. E. S. Kopp, V. P. Lonij, A. E. Brooks, P. L. Hidalgo-Gonzalez, and A. D. Cronin, “I-V curves and visual inspection of 250 PV modules deployed over 2 years in tucson,” in Conference Record of the IEEE Photovoltaic Specialists Conference, 2012, pp. 3166–3171, doi: 10.1109/PVSC.2012.6318251.

II. K. Olakonu, J. Belmont, S. Tatapudi, J. Kuitche, and G. Tamizhmani, “Degradation and failure modes of 26-year-old 200 kW power plant in a hot-dry desert climate,” in 2014 IEEE 40th Photovoltaic Specialist Conference, PVSC 2014, 2014, pp. 3207–3210, doi: 10.1109/PVSC.2014.6925618.

III. K. Yedidi, S. Tatapudi, J. Mallineni, B. Knisely, J. Kutiche, and G. Tamizhmani, “Failure and degradation modes and rates of PV modules in a hot-dry climate: Results after 16 years of field exposure,” in 2014 IEEE 40th Photovoltaic Specialist Conference, PVSC 2014, 2014, pp. 3245–3247, doi: 10.1109/PVSC.2014.6925626.

IV. Kothari D. P., Anshumaan Pathak, Utkarsh Pandey. : ‘COMPARATIVE STUDY OF DIFFERENT SOLAR PHOTOVOLTAIC ARRAYS CONFIGURATION TO MITIGATE NEGATIVE IMPACT OF PARTIAL SHADING CONDITIONS’. J. Mech. Cont. & Math. Sci., Vol.-16, No.-2, February (2021) pp 102-111. DOI : 10.26782/jmcms.2021.02.00009

V. M. Chicca and G. Tamizhmani, “Nondestructive techniques to determine degradation modes: Experimentation with 18 years old photovoltaic modules,” 2015, doi: 10.1109/PVSC.2015.7355709.

VI. M. Kumar and A. Kumar, “Performance assessment and degradation analysis of solar photovoltaic technologies: A review,” Renewable and Sustainable Energy Reviews, vol. 78. pp. 554–587, 2017, doi: 10.1016/j.rser.2017.04.083.

VII. R. Bhoopathy, O. Kunz, M. Juhl, T. Trupke, and Z. Hameiri, “Outdoor photoluminescence imaging of photovoltaic modules with sunlight excitation,” Prog. Photovoltaics Res. Appl., vol. 26, no. 1, pp. 69–73, 2018, doi: 10.1002/pip.2946.

VIII. Reddy M. Sai Krishna, D. Elangovan. : ‘RURAL ELECTRIFICATION WITH RENEWABLE ENERGY FED DC MICRO GRID’. J. Mech. Cont.& Math. Sci., Vol.-15, No.-8, August (2020) pp 25-38. DOI : 10.26782/jmcms.2020.08.00004.

IX. S. Ali et al., “A comprehensive study of 18-19 years field aged modules for degradation rate determination along with defect detection and analysis using IR, EL, UV,” Proc. 2018 15th Int. Bhurban Conf. Appl. Sci. Technol. IBCAST 2018, vol. 2018–January, pp. 28–35, 2018, doi: 10.1109/IBCAST.2018.8312180.

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XI. S. M. Shrestha et al., “Determination of dominant failure modes using FMECA on the field-deployed c-Si modules under hot-dry desert climate,” IEEE J. Photovoltaics, vol. 5, no. 1, pp. 174–182, 2015, doi: 10.1109/JPHOTOV.2014.2366872.

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INFLUENCE OF TEMPERATURE AND DRAWING SPEED ON THE FORMING OF ALUMINUM ALLOY 1100 VIA WARMING HYDROFORMING PROCESS

Authors:

Mohammed Mishri Gatea, Hani Aziz Ameen, Haidar Akram Alsabti

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00004

Abstract:

The limiting used of the alloys of aluminum since the formability is low at room temperature. To plan and grow more parts made of aluminum, new forming systems, for example, warm framing hydroforming and warming hydroforming processes have been explored to solve the low formability. The effect of temperature on the mechanical properties of aluminum 1100 sheet alloy is investigated at different temperature levels and strain rates using the test of uni-axial tensile. A warming forming tool for sheet metal is designed and manufactured. Four temperatures levels were used in this experiments (25 , 100  200  and 300 ). The drawing speeds that were used in these experiments were (3, 6, and 9 mm/min). Before design, the warming hydro-punch system, the analysis of this system is done in ANSYS software to choose the optimum die radius and then the results of experiments are simulated. The results of experiments showed that the appropriate hydroforming temperature and drawing speed of 1100 aluminum alloy are 300 and 3mm/min respectively. The FE simulation of strain distribution matched reasonably well with the experimental results.

Keywords:

Deep drawing process,1100 aluminum alloy,Formability,hydro-punch,ANSYS,warming hydroforming process,

Refference:

I. ANSYS 19.0 R1 User guide, 2019.
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III. Billur, E. (2008). Warm Hydroforming Characteristics of Stainless Steel Sheet Metals.‏

IV. Cevdet Meriç, Enver Atik, Erdoğan Özkaya (1997). Investigation of Deformation Temperatures and Strain Rate Effects’ on the Mechanical Properties of Al 99.0. Pamukkale Univ Muh Bilim Derg. 3(1): 293-298.

V. Hein, P., & Vollertsen, F. (1999). Hydroforming of sheet metal pairs. Journal of Materials Processing Technology, 87(1-3), 154-164.

VI. Hani Aziz Ameen (2010). “ Study the stresses in deep drawing process using conical die”, Journal of Kerbala University,Vol.8, No.1,Sientific,(in Arabic) .
VII. Koç, M. (Ed.). (2008). Hydroforming for advanced manufacturing. Elsevier.‏
VIII. Koç, M., Agcayazi, A., & Carsley, J. (2011). An experimental study on robustness and process capability of the warm hydroforming process. Journal of manufacturing science and engineering, 133(2).‏‏

IX. Li, D., & Ghosh, A. (2003). Tensile deformation behavior of aluminum alloys at warm forming temperatures. Materials Science and Engineering: A, 352(1-2), 279-286.‏

X. Modi, B., & Ravi Kumar, D. (2013). Effect of friction and lubrication on formability of AA5182 alloy in hydroforming of square cups. In Materials Science Forum (Vol. 762, pp. 621-626). Trans Tech Publications Ltd.

XI. Moneer H. Al-Saadi, Hani Aziz Ameen & Rawa Hamed M. Al-Kalali (2011). “Influence of Metal Type on the Deep Drawing Force by Experimental and Finite Element Method”, Engineering and Technology Journal, Vol.29, No.13.
XII. Modi, B., & Ravi Kumar, D. (2013). Effect of friction and lubrication on formability of AA5182 alloy in hydroforming of square cups. In Materials Science Forum (Vol. 762, pp. 621-626). Trans Tech Publications Ltd.‏

XIII. Naka, T., Torikai, G., Hino, R., & Yoshida, F. (2001). The effects of temperature and forming speed on the forming limit diagram for type 5083 aluminum–magnesium alloy sheet. Journal of Materials Processing Technology, 113(1-3), 648-653.‏
XIV. Nakasone Y. and Yoshimoto S. (2006). “Engineering Analysis with ANSYS Software”, Department of Mechanical Engineering, Tokyo University of Science.
XV. Shah, M., Billur, E., Sartkulvanich, P., Carsley, J., & Altan, T. (2011, August). Cold and Warm Hydroforming of AA754‐O Sheet: FE Simulations and Experiments. In AIP Conference Proceedings (Vol. 1383, No. 1, pp. 690-697). American Institute of Physics.‏

XVI. Umair Aftab, Muhammad Mujtaba Shaikh, Muhammad Ziauddin Umer. : ‘A NEW AND RELIABLE STATISTICAL APPROACH WITH EFFECTIVE PROFILING OF HARDNESS PRESERVING SAMPLES IN TIG-WELDING, THERMAL TREATMENT AND AGE-HARDENING OF ALUMINUM ALLOY 6061’. J. Mech. Cont.& Math. Sci., Vol.-15, No.-11, November (2020) pp 108-118. DOI : 10.26782/jmcms.2020.11.00010

XVII. Yuan, S., Qi, J., & He, Z. (2006). An experimental investigation into the formability of hydroforming 5A02 Al-tubes at elevated temperature. Journal of Materials Processing Technology, 177(1-3), 680-683.‏

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AN EFFICIENT MODEL FOR THE SELECTION OF LEADERSHIP COMPETENCIES AND PERFORMANCE IMPROVEMENT FOR THE SUCCESS OF TRANSPORTATION PROJECTS

Authors:

Warda Gul, Azka Nawaz, Hamaz, Maria Tariq, Hamayun Khan

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00005

Abstract:

Infrastructure advancement reflects its key role in the financial and socio-economic progression of Pakistan. Project execution and accomplishment majorly depend on the leadership competencies. The dynamics of leadership define the influence of a leader i.e. project manager in lead on his team to complete any type of project and make it a success. The objective of the study is to investigate the influence of project managers’ leadership competencies in light of theory explaining “The Competency School of Leadership” coupled with specific project types on project success outcomes for transport infrastructure projects. A structured questionnaire-based survey was conducted to collect data using purposive sampling from individuals that are currently or have been involved in recently completed projects in the transport infrastructure development of Lahore. A total of 152 useful responses were returned. Findings obtained using moderated regression analysis using Andrew Hayes ‘process’ technique suggest that leadership competence of project managers is insignificant for successful completion of the projects under a particular project type. Results suggest that the project managers in a leadership position when effectively and efficiently utilize their competencies of intellectual strength, managerial procedures and emotional balance for successful actualization of transport infrastructure projects. Moreover, it has been found that project managers in these projects exhibit efficacious leadership competencies that are substantial without regard to any project type in certain for their successful completion.

Keywords:

Transport infrastructure,leadership competency,project type,project success,process moderation,competency school of leadership,

Refference:

I. Abdolmehdi Salehizadeh, Jaffar Mahmudi. : ‘A SYSTEMS DYNAMICS MODEL FOR PROJECT MANAGEMENT SYSTEMS OF PROJECT-BASED ORGANIZATION.’ J. Mech. Cont. & Math. Sci., Vol.-15, No.-3, March (2020) pp 140-149. DOI : 10.26782/jmcms.2020.03.00011
II. Aiken, L. S., West, S. G., & Reno, R. R. (1991). Multiple regression: Testing and interpreting interactions. Sage.
III. Al-Shaaby, A., & Ahmed, A. (2018). How do we measure project success? A Survey. Journal of Information Technology and Software Engineering, 8(229).
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V. Batool, A., & Abbas, F. (2017). Reasons for delay in selected hydro-power projects in Khyber Pakhtunkhwa (KPK), Pakistan. Renewable and Sustainable Energy Reviews, 73, 196-204.
VI. Beins, B. C. (2017). Research method: A tool for life. Cambridge University Press. Bentahar, O., & Ika, L. A. (2019). Matching the Project Manager’s Roles to Project Types: Evidence From Large Dam Projects in Africa. IEEE Transactions on Engineering Management.
VII. Boyatzis, R. E. (2008). Leadership development from a complexity perspective. Consulting Psychology Journal: Practice and Research, 60(4), 298.
VIII. Bryde, D. (2008). Perceptions of the impact of project sponsorship practices on project success. International Journal of Project Management, 26(8), 800-809.
IX. Camps-Walsh, G., Aivas, I., & Barratt, H. (2009). How can value-based pricing improve access and adoption of new treatments? 2020 health, 1-105.
X. Carvalho, M. M. D., & Rabechini Junior, R. (2015). Impact of risk management on project performance: the importance of soft skills. International Journal of Production Research, 53(2), 321-340.
XI. Charmaz, K., & Belgrave, L. L. (2007). Grounded theory. The Blackwell Encyclopedia of Sociology. Chou, J. S., & Yang, J. G. (2012). Project management knowledge and effects on construction project outcomes: An empirical study. Project Management Journal, 43(5), 47-67.
XII. Dainty, A. R., Cheng, M. I., & Moore, D. R. (2005). Competency-based model for predicting construction project managers’ performance. Journal of Management in Engineering, 21(1), 2-9.
XIII. Dulewicz, V., & Higgs, M. (2005). Assessing leadership styles and organizational context. Journal of Managerial Psychology, 20(2), 105-123.
XIV. Dulewicz, V., & Higgs, M. (2003). Leadership at the top: The need for emotional intelligence in organizations. The International Journal of Organizational Analysis, 11(3), 193-210.
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XVI. Dvir, D. O. V., Sadeh, A., & Malach-Pines, A. (2006). Projects and project managers: The relationship between project managers’ personality, project types, and project success. Project Management Journal, 37(5), 36-48.
XVII. Fausing, M. S., Joensson, T. S., Lewandowski, J., & Bligh, M. (2015). Antecedents of shared leadership: empowering leadership and interdependence. Leadership & Organization Development Journal, 36(3), 271-291.
XVIII. Finch, H. (2006). Comparison of the performance of varimax and promax rotations: Factor structure recovery for dichotomous items. Journal of Educational Measurement, 43(1), 39-52.
XIX. Feger, A. L. R., & Thomas, G. A. (2012). A framework for exploring the relationship between project manager leadership style and project success. The International Journal of Management, 1(1), 1-19.
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XXI. Guba, E. G., Lincoln, Y. S., Denzin, N., & Lincoln, Y. (1998). The landscape of qualitative research: Theories and issues. Competing Paradigms in Qualitative Research, 105-117.
XXII. Ha, T. P. T., & Tran, M. D. (2018). Review of Impacts of Leadership Competence of Project Managers on Construction Project Success. International Journal of Emerging Trends in Social Sciences, 4(1), 15-25.
XXIII. Hayes, A. F. (2017). Introduction to mediation, moderation, and conditional process analysis: A regression-based approach. Guilford Publications.
XXIV. Heumann, T., Bergemann, D., & Morris, S. (2015). Information and volatility. Journal of Economic Theory, 158, 427-465.
XXV. Sanaullah Jamali, Abdul Sattar Soomro, Muhammad Mujtaba Shaikh. : ‘THE MINIMUM DEMAND METHOD – A NEW AND EFFICIENT INITIAL BASIC FEASIBLE SOLUTION METHOD FOR TRANSPORTATION PROBLEMS’. J. Mech. Cont. & Math. Sci., Vol.-15, No.-10, October (2020) pp 94-109. DOI : 10.26782/jmcms.2020.10.00007

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ON EXACT ANALYTICAL SOLUTIONS OF THE TIMOSHENKO BEAM MODEL UNDER UNIFORM AND VARIABLE LOADS

Authors:

Kamran Malik , Muhammad Mujtaba Shaikh, Abdul Wasim Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00006

Abstract:

In this research work, we consider the mathematical model of the Timoshenko beam (TB) problem in the form of a boundary-value problem of a system of ordinary differential equations. Instead of numerical solution using finite difference and finite volume methods, an attempt is made to derive the exact analytical solutions of the model with boundary feedback for a better and explicit description of the rotation and displacement parameters of the TB structure model. The explicit analytical solutions have been successfully found for the uniform and real-time variable load cases. The rotation and displacement profiles obtained through the analytical solutions accurately picture the structure of the beam under uniform and variable loads.

Keywords:

Timoshenko beam,Analytical solution,Rotation,Displacement,Uniform load,Variable load,

Refference:

I. A. W. Shaikh, XL Cheng (2013). Two non-standard finite difference schemes for the Timoshenko beam. AJMCSR Vol. 5(6): 107 –111.

II. Babak Mansoori, Ashkan Torabi, Arash Totonch. : ‘NUMERICAL INVESTIGATION OF STRENGTHENING THE REINFORCED CONCRETE BEAMS USING CFRP REBAR, STEEL SHEETS AND GFRP’. J. Mech. Cont.& Math. Sci., Vol.-15, No.-3, March (2020) pp 195-204. DOI : 10.26782/jmcms.2020.03.00016.

III. Cheng XL, Han W, Huang HC (1997). Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. J. Comput. Appl. Math.,79(2): 215-234.

IV. Cheng XL, Xue WM (2002). Linear finite element approximations for the Timoshenko beam and the shallow arch problems. J. Comput. Math., 20: 15-22.

V. D. N. Arnold (1981). Discretization by finite elements of a model parameter dependent problem. Numer. Math., 37 (3): 405-421.

VI. Jou J, Yang SY (2000). Least-squares Finite element approximations to the Timoshenko beam problem, Appl. Math. Comput, 115(1): 63-75.

VII. Li L (1990). Discretization of the Timoshenko beam problem by the p and h/p versions of the finite element method. Numer. Math., 57(1): 413-420.

VIII. Loula AFD, Hughes TJR, Franca LP (1987). Petrov-Galerkin formulations of the Timoshenko beam problem. Comput.Meth. Appl. Mech. Eng., 63(2): 115-132.

IX. Loula AFD, Hughes TJR, Franca LP, Miranda I (1987). Stability, convergence and Accuracy of a new finite element method for the circular arch problem.Comput.Meth.Eng., 63(3): 281-303.

X. Timoshenko SP (1921). On the correction for shear of the differential equation for transverse Vibrations of prismatic bars, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science,, 41(245): 744-746.

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AN EFFICIENT FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF TIMOSHENKO BEAM MODEL

Authors:

Kamran Malik, Abdul Wasim Shaikh, Muhammad Mujtaba Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2021.05.00007

Abstract:

We propose and implement a finite difference scheme for the numerical solution of the Timoshenko beam model without locking phenomenon. The averaging concept is used in approximating the function, and thus developing the scheme for elements. Finally, the system is discretized into the algebraic system using the proposed scheme and the numerical solution is attained. The numerical solutions are attained for a constant load and a variable load comprising linear and exponential functions. The mathematical model of the Timoshenko beam (TB) problem in the form of a boundary-value problem has been solved successfully for the rotation and displacement parameters. The results agree with other schemes in the literature for various values of the parameter and step size.

Keywords:

Timoshenko beam,Finite-difference solution,Rotation,Displacement,Constant load,Variable load,Interpolation,

Refference:

I. Cheng XL, Han W, Huang HC (1997). Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. J. Comput. Appl. Math.,79(2): 215-234.
II. Cheng XL, Xue WM (2002). Linear finite element approximations for the Timoshenko beam and the shallow arch problems. J. Comput. Math., 20: 15-22.
III. D. N. Arnold (1981). Discretization by finite elements of a model parameter dependent problem. Numer. Math., 37 (3): 405-421.
IV. Faisal Hayat Khan, M. Fiaz Tahir, Qaiser uz Zaman Khan. : ‘NUMERICAL SIMULATION AND PERFORMANCE EVALUATION OF BEAM COLUMN JOINTS CONTAINING FRP BARS AND WIRE MESH ARRANGEMENTS.’ J. Mech. Cont. & Math. Sci., Vol.-16, No.-2, February (2021) pp 112-131. DOI : 10.26782/jmcms.2021.02.00010
V. Jou J, Yang SY (2000). Least-squares Finite element approximations to the Timoshenko beam problem, Appl. Math. Comput, 115(1): 63-75.
VI. Khalid H. Malik, Sanaullah Dehraj, Sindhu Jamali, Sajad H. Sandilo, Asif Mehmood Awan. : ‘ON TRANSVERSAL VIBRATIONS OF AN AXIALLY MOVING BEAM UNDER INFLUENCE OF VISCOUS DAMPING.’ J. Mech. Cont.& Math. Sci., Vol.-15, No.-11, November (2020) pp 12-22. DOI : 10.26782/jmcms.2020.11.00002
VII. Li L (1990). Discretization of the Timoshenko beam problem by the p and h/p versions of the finite element method. Numer. Math., 57(1): 413-420.
VIII. Li, F.L., Sun, Z.Z. (2007). A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. J. Comput. Appl. Math., 200: 606–627.
IX. Loula AFD, Hughes TJR, Franca LP (1987). Petrov-Galerkin formulations of the Timoshenko beam problem. Comput.Meth. Appl. Mech. Eng., 63(2): 115-132.
X. Loula AFD, Hughes TJR, Franca LP, Miranda I (1987). Stability, convergence and Accuracy of a new finite element method for the circular arch problem.Comput.Meth.Eng., 63(3): 281-303.
XI. Sun, Z.Z., Zhu, Y.L. (2004). A second order accurate difference scheme for the heat equation with concentrated capacity. Numer. Math., 97: 379–395.
XII. Timoshenko SP (1921). On the correction for shear of the differential equation for transverse Vibrations of prismatic bars, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science,, 41(245): 744-746.
XIII. W. Shaikh, XL Cheng (2013). Two non-standard finite difference schemes for the Timoshenko beam. AJMCSR Vol. 5(6): 107 –111.
XIV. Wang, Z.S. (2002). A second order L8 convergent difference scheme for linear hyperbolic equation with derivative boundary conditions. Numer. Math. J. Chinese Univ., 3: 212–224.
XV. Xu, G.Q., Feng, D.X. (2002). The Riesz basis property of a Timoshenko beam with boundary feedback and application. IMA Journal of Appl. Math., 67: 357 370.
XVI. Yan, Q.X., Feng, D.X. (2003). Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary. Control Thery Appl., 20(5): 673–677.
XVII. Zietsman L., Van Rensburg, N.F.J., Van der Merwe, A.J. (2004). A Timoshenko beam with tip body and boundary damping. Wave Motion., 39: 199–211.

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THE FIVE PARAMETER LOGISTIC (5PL) FUNCTION AND COVID-19 EPIDEMIC IN ICELAND

Authors:

Pinaki Pal, Asish Mitra

DOI NO:

https://doi.org/10.26782/jmcms.2021.06.00001

Abstract:

Right now, investigations are rigorously carried out on modeling the dynamic progress of (Covid-19) pandemic around the globe. Here we introduce a simple mathematical model for analyzing the dynamics of the Covid-19, considering only the number of cumulative cases. In the present work, the 5PL function is applied to study the Covid-19 spread in Iceland. The cumulative number of infected persons C(t) has been accurately fitted with the 5PL equation, giving rise to different epidemiological parameters. The result of the current examination reveals the effectiveness and efficacy of the 5PL function for exploring the Covid 19 dynamics in Iceland. The mathematical model is simple enough such that practitioners knowing algebra and non-linear regression analysis can employ it to examining the pandemic situation in different countries.

Keywords:

5PL Function,Covid-19 Pandemic,Daily Growth Rate,Iceland,Simulation,Tipping Point,

Refference:

I. Anton H, Herr A, “Calculus with analytic geometry,” Wiley New York; 1988.
II. Asish Mitra, “Covid-19 in India and SIR Model,” : J. Mech.Cont. & Math. Sci., , Vol.-15, No.-7, July (2020) pp 1-8. DOI : 10.26782/jmcms.2020.07.00001
III. Asish Mitra, “Modified SIRD Model of Epidemic Disease Dynamics: A case Study of the COVID-19 Coronavirus,” J. Mech.Cont. & Math. Sci., Vol.-16, No.-2, February (2021) pp 1-8. DOI : 10.26782/jmcms.2021.02.00001
IV. Birch C P, “A new generalized logistic sigmoid growth equation compared with the Richards growth equation,” Annals of Botany. 1999; 83(6):713–723. https://doi.org/10.1006/anbo.1999.0877
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VIII. Chowell, G., Hincapie-Palacio, D, Ospina, J, Pell, B, Tariq, A, Dahal, S, Moghadas, S, Smirnova, A, Simonsen, L, Viboud, C, “Using phenomenological models to characterize transmissibility and forecast patterns and final Burden of Zika epidemics,” PLoS Curr. (2016). https://doi.org/10.1371/currents.outbreaks.f14b2217c902f453d9320a43a35b9583.
IX. Chowell, G, “Fitting dynamic models to epidemic outbreaks with quantified uncertainty: a primer for parameter uncertainty, identifiability, and forecasts,” Infect. Dis. Model. 2(3), 379–398 (2017). https://doi.org/10.1016/j.idm.2017.08.001.
X. Chowell, G, Tariq, A, Hyman, J M, “A novel sub-epidemic modeling framework for short-term forecasting epidemic waves,” BMC Med. 17(1), 1–18 (2019). https://doi.org/10.1186/s12916-019-1406-6.
XI. Chowell, G, Luo, R, Sun, K, Roosa, K, Tariq, A, Viboud, C, “Real-time forecasting of epidemic trajectories using computational dynamic ensembles,” Epidemics. 30, 100379 (2020). https://doi.org/10.1016/j.epidem.2019.100379.

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XIX. https://www.worldometers.info/coronavirus/
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XXVII. Wu K, Darcet D, Wang Q, Sornette D, “Generalized logistic growth modeling of the COVID-19 outbreak in 29 provinces in China and in the rest of the world,” arXiv preprint arXiv:200305681. 2020.
XXVIII. Viboud, C, Simonsen, L, Chowell, G, “A generalized growth model to characterize the early ascending phase of infectious disease outbreaks,” Epidemics 15, 27–37 (2016). https://doi.org/10.1016/j.epidem.2016.01.002.

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AN ITERATIVE, BRACKETING & DERIVATIVE-FREE METHOD FOR NUMERICAL SOLUTION OF NON-LINEAR EQUATIONS USING STIRLING INTERPOLATION TECHNIQUE

Authors:

Sanaullah Jamali, Zubair Ahmed Kalhoro, Abdul Wasim Shaikh, Muhammad Saleem Chandio

DOI NO:

https://doi.org/10.26782/jmcms.2021.06.00002

Abstract:

In this article, an iterative, bracketing and derivative-free method have been proposed with the second-order of convergence for the solution of non-linear equations. The proposed method derives from the Stirling interpolation technique, Stirling interpolation technique is the process of using points with known values or sample points to estimate values at unknown points or polynomials. All types of problems (taken from literature) have been tested by the proposed method and compared with existing methods (regula falsi method, secant method and newton raphson method) and it’s noted that the proposed method is more rapidly converges as compared to all other existing methods. All problems were solved by using MATLAB Version: 8.3.0.532 (R2014a) on my personal computer with specification Intel(R) Core (TM) i3-4010U CPU @ 1.70GHz with RAM 4.00GB and Operating System: Microsoft Windows 10 Enterprise Version 10.0, 64-Bit Server, x64-based processor.

Keywords:

Non-linear equation,Stirling Interpolation Technique,convergence,number of iterations,Accuracy,

Refference:

I. Ali Sial, A. et al. (2017) “Modified Algorithm for Solving Nonlinear Equations in Single Variable,” J. Appl. Environ. Biol. Sci, 7(5), pp. 166–171. Available at: www.textroad.com.
II. Allame, M. and Azad, N. (2012) “On Modified Newton Method for Solving a Nonlinear Algebraic Equations by Mid-Point,” World Applied Sciences Journal, 17(12), pp. 1546–1548.
III. Almomani, M. H., Alrefaei, M. H. and Mansour, S. Al (2018) “A method for selecting the best performance systems,” International Journal of Pure and Applied Mathematics, 120(September), pp. 191–202. doi: 10.12732/ijpam.v120i2.3.
IV. Bahgat, M. S. M. and Hafiz, M. A. (2012) “An Efficient Two-step Iterative Method for Solving System of Nonlinear Equations,” Journal of Mathematics Research, 4(4). doi: 10.5539/jmr.v4n4p28.
V. Sanaullah Jamali, Zubair Ahmed Kalhoro, Abdul Wasim Shaikh, Muhammad Saleem Chandio., : ‘A NEW SECOND ORDER DERIVATIVE FREE METHOD FOR NUMERICAL SOLUTION OF NON-LINEAR ALGEBRAIC AND TRANSCENDENTAL EQUATIONS USING INTERPOLATION TECHNIQUE’. J. Mech. Cont. & Math. Sci., Vol.-16, No.-4, April (2021) pp 75-84. DOI : 10.26782/jmcms.2021.04.00006.

VI. Kang, S. M. et al. (2015) “Improvements in Newton-Rapshon method for nonlinear equations using modified adomian decomposition method,” International Journal of Mathematical Analysis, pp. 1919–1928. doi: 10.12988/ijma.2015.54124.
VII. Khalid Qureshi, U. and Ahmed Kalhoro, Z. (2018) “NUMERICAL METHOD OF MODIFIED NEWTON RAPHSON METHOD WITHOUT SECOND DERIVATIVE FOR SOLVING THE NONLINEAR EQUATIONS,” Gomal University Journal of Research, 34(1).
VIII. Mir Md. Moheuddin, Uddin, M. J. and Md. Kowsher (2019) “A New Study To Find Out The Best Computational Method For Solving The Nonlinear Equation,” Applied Mathematics and Sciences An International Journal (MathSJ), 6(3), pp. 15–31. doi: 10.5121/mathsj.2019.6302.
IX. Omran, H. H. (2013) Modified Third Order Iterative Method for Solving Nonlinear Equations, Journal of Al-Nahrain University.
X. Qureshi, U. K. et al. (2020) “Sixth Order Numerical Iterated Method of Open Methods for Solving Nonlinear Applications Problems,” Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, 57(November), pp. 35–40.
XI. Qureshi, U. K., Jamali, S. and Kalhoro, Z. A. (2021) ‘MODIFIED QUADRATURE ITERATED METHODS OF BOOLE RULE AND WEDDLE RULE FOR SOLVING NON-LINEAR EQUATIONS’. J. Mech. Cont. & Math. Sci., Vol.-16, No.-2, February (2021) pp 87-101. DOI : 10.26782/jmcms.2021.02.00008
XII. Saeed Ahmed, M. et al. (2015) “NEW FIXED POINT ITERATIVE METHOD FOR SOLVING NONLINEAR FUNCTIONAL EQUATIONS,” Applied Mathematics, 27(3), pp. 1815–1817. doi: 10.4236/am.2015.611163.
XIII. Suhadolnik, A. (2012) “Combined bracketing methods for solving nonlinear
equations,” Applied Mathematics Letters, 25(11), pp. 1755–1760. doi:
10.1016/j.aml.2012.02.006.
XIV. Suhadolnik, A. (2013) “Superlinear bracketing method for solving nonlinear equations,” Applied Mathematics and Computation, 219(14), pp. 7369–7376. doi: 10.1016/j.amc.2012.12.064.

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