SIZE-DEPENDENT VIBRATION ANALYSIS OF CRACKED MICRO BEAMS REINFORCED WITH FUNCTIONALLY GRADED BORON NITRIDE NANOTUBES IN COMPOSITE STRUCTURES

Authors:

L. Anitha,J. Sudha,

DOI NO:

https://doi.org/10.26782/jmcms.2024.03.00002

Keywords:

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

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.

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.

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