DOI QR코드

DOI QR Code

Nonlinear vibration analysis of piezoelectric plates reinforced with carbon nanotubes using DQM

  • Arani, Ali Ghorbanpour (Faculty of Mechanical Engineering, Institute of Nanoscience & Nanotechnology, University of Kashan) ;
  • Kolahchi, Reza (Department of Mechanical Engineering, Kashan Branch, Islamic Azad University) ;
  • Esmailpour, Masoud (Young Researchers and Elite Club, Damavand Branch, Islamic Azad University)
  • 투고 : 2016.03.29
  • 심사 : 2016.06.10
  • 발행 : 2016.10.25

초록

The aim of the paper is to analyze nonlinear transverse vibration of an embedded piezoelectric plate reinforced with single walled carbon nanotubes (SWCNTs). The system in rested in a Pasternak foundation. The micro-electro-mechanical model is employed to calculate mechanical and electrical properties of nanocomposite. Using nonlinear strain-displacement relations and considering charge equation for coupling between electrical and mechanical fields, the motion equations are derived based on energy method and Hamilton's principle. These equations can't be solved analytically due to their nonlinear terms. Hence, differential quadrature method (DQM) is employed to solve the governing differential equations for the case when all four ends are clamped supported and free electrical boundary condition. The influences of the elastic medium, volume fraction and orientation angle of the SWCNTs reinforcement and aspect ratio are shown on frequency of structure. The results indicate that with increasing volume fraction of SWCNTs, the frequency increases. This study might be useful for the design and smart control of nano/micro devices such as MEMS and NEMS.

키워드

과제정보

연구 과제 주관 기관 : University of Kashan

참고문헌

  1. Antonio Arnau, V. (2008), Piezoelectric Transducers and Applications, Heidelberg: Springer-Verlag Berlin.
  2. Chen, W.Q., Bian, Z.G., Lv, C.F. and Ding, H.J. (2004), "3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid", Int. J. Solids Struct., 41(3-4), 947-964. https://doi.org/10.1016/j.ijsolstr.2003.09.036
  3. Dodds, J.S., Meyers F.N. and Loh, K.J. (2013), "Piezoelectric nanocomposite sensors assembled using zinc oxide nanoparticles and poly(vinylidene fluoride)", Smart Struct. Syst., 12(1), 55-71. https://doi.org/10.12989/sss.2013.12.1.055
  4. Ghorbanpour Arani, A., Shiravand, A., Rahi, M. and Kolahchi, R. (2012a), "Nonlocal vibration of coupled DLGS systems embedded on Visco-Pasternak foundation", Physica B, 407(21), 4123-4131. https://doi.org/10.1016/j.physb.2012.06.035
  5. Ghorbanpour Arani, A., Vossough, H., Kolahchi, R. and Mosallaie Barzoki, A.A. (2012b), "Electro-thermo nonlocal nonlinear vibration in an embedded polymeric piezoelectric micro plate reinforced by DWBNNTs using DQM", J. Mech. Sci. Technol., 26(10), 3047-3057. https://doi.org/10.1007/s12206-012-0816-6
  6. Ghorbanpour Arani, A., Vossough, H. and Kolahchi, R. (2015a), "Nonlinear vibration and instability of a visco-Pasternak coupled double-DWBNNTs-reinforced microplate system conveying microflow", Proc. IMechE Part C: J. Mech. Eng. Sci., 229, 3274-3290. https://doi.org/10.1177/0954406215569587
  7. Ghorbanpour Arani, A., Kolahchi, R. and Zarei, M.Sh. (2015b), "Visco-surface-nonlocal piezoelasticity effects on nonlinear dynamic stability of graphene sheets integrated with ZnO sensors and actuators using refined zigzag theory", Compos. Struct., 132, 506-526. https://doi.org/10.1016/j.compstruct.2015.05.065
  8. Ke L.L. and Sritawat Kitipornchai, J.Y. (2011), "Dynamic stability of functionally graded carbon nanotube-reinforced composite beams", Mech. Adv.. Mater. Struct., 18, 262-271. https://doi.org/10.1080/15376494.2010.483326
  9. Kireitseu, M.V., Tomlinson, G.R., Ivanenko, A.V. and Bochkareva, L.V. (2007), "Dynamics and vibration damping behavior of advanced Meso/Nanoparticle-reinforced composites", Mech. Adv.. Mater. Struct., 14, 603-617. https://doi.org/10.1080/15376490701672831
  10. Kolahchi, R., Rabani Bidgoli, M., Beygipoor, Gh. and Fakhar, M.H. (2015), "A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Technol., 29(9), 3669-3677. https://doi.org/10.1007/s12206-015-0811-9
  11. Kolahchi, R., Safari, M. and Esmailpour, M. (2016a), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023
  12. Jafarian Arani, A. and Kolahchi, R. (2016b), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concre., 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567
  13. Mosharrafian, F. and Kolahchi, R. (2016c), "Nanotechnology, smartness and orthotropic nonhomogeneous elastic medium effects on buckling of piezoelectric pipes", Struct. Eng. Mech., 58(5), 931-947. https://doi.org/10.12989/sem.2016.58.5.931
  14. Kotsilkova, R. (2007), Thermoset Nanocomposites for Engineering Applications, Smithers Rapra Technology, UK.
  15. Lei, X.W., Natsuki, T., Shi, J.X. and Ni, Q.Q. (2012), "Surface effects on the vibrational frequency of double-walled carbon nanotubes using the nonlocal Timoshenko beam model", Compos. Part B, 43(1), 64-69. https://doi.org/10.1016/j.compositesb.2011.04.032
  16. Murmu, T. and Adhikari, S. (2011), "Nonlocal vibration of bonded double-nanoplate-systems", Compos. Part B, 42(7), 1901-1911. https://doi.org/10.1016/j.compositesb.2011.06.009
  17. Reddy, J.N. (1997), Mechanics of Laminated Composite Plates, Theory and Analysis, Boca Raton, Chemical Rubber Company.
  18. Singh V.K. and Panda S.K. (2015), "Large amplitude free vibration analysis of laminated composite spherical shells embedded with piezoelectric layers", Smart Struct. Syst., 16(5), 853-872. https://doi.org/10.12989/sss.2015.16.5.853
  19. Tan, P. and Tong, L. (2001), "Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials", Compos. Sci. Technol., 61(5), 759-769. https://doi.org/10.1016/S0266-3538(01)00014-8
  20. Vinson, J.R. (2005), Plate and panel structures of isotropic, composite and piezoelectric materials, including sandwich construction, Springer, USA.

피인용 문헌

  1. A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations 2017, https://doi.org/10.1177/1099636217727577
  2. Prediction of nonlinear eigenfrequency of laminated curved sandwich structure using higher-order equivalent single-layer theory 2017, https://doi.org/10.1177/1099636217728420
  3. Nonlinear harmonic vibration analysis of fluid-conveying piezoelectric-layered nanotubes vol.123, 2017, https://doi.org/10.1016/j.compositesb.2017.05.012
  4. Vibration of size-dependent functionally graded sandwich microbeams with different boundary conditions based on the modified couple stress theory 2017, https://doi.org/10.1177/1099636217738909
  5. Buckling analysis of nanocomposite sandwich plates with piezoelectric face sheets based on flexoelectricity and first-order shear deformation theory pp.1530-7972, 2020, https://doi.org/10.1177/1099636218795385
  6. Bending analysis of functionally graded plates using new eight-unknown higher order shear deformation theory vol.62, pp.3, 2017, https://doi.org/10.12989/sem.2017.62.3.311
  7. Influence of electro-magneto-thermal environment on the wave propagation analysis of sandwich nano-beam based on nonlocal strain gradient theory and shear deformation theories vol.20, pp.3, 2017, https://doi.org/10.12989/sss.2017.20.3.329
  8. Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates vol.14, pp.6, 2016, https://doi.org/10.12989/gae.2018.14.6.519
  9. Non-linear free and forced vibration analysis of sandwich nano-beam with FG-CNTRC face-sheets based on nonlocal strain gradient theory vol.22, pp.1, 2016, https://doi.org/10.12989/sss.2018.22.1.105
  10. Effect of nano glass cenosphere filler on hybrid composite eigenfrequency responses - An FEM approach and experimental verification vol.7, pp.6, 2016, https://doi.org/10.12989/anr.2019.7.6.419
  11. Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure vol.33, pp.6, 2016, https://doi.org/10.12989/scs.2019.33.6.865
  12. Longitudinal vibration of double nanorod systems using doublet mechanics theory vol.73, pp.1, 2016, https://doi.org/10.12989/sem.2020.73.1.037
  13. Analytical evaluation and experimental validation of energy harvesting using low-frequency band of piezoelectric bimorph actuator vol.26, pp.3, 2020, https://doi.org/10.12989/sss.2020.26.3.391
  14. Analysis of nonlocal Kelvin's model for embedded microtubules: Via viscoelastic medium vol.26, pp.6, 2020, https://doi.org/10.12989/sss.2020.26.6.809
  15. Thermal frequency analysis of FG sandwich structure under variable temperature loading vol.77, pp.1, 2016, https://doi.org/10.12989/sem.2021.77.1.057