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Structural Engineering and Mechanics Volume 68, Number 2, October25 2018 , pages 203-213 DOI: https://doi.org/10.12989/sem.2018.68.2.203 |
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Large amplitude forced vibration of functionally graded nano-composite plate with piezoelectric layers resting on nonlinear elastic foundation |
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Ali A. Yazdi
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| Abstract | ||
| This paper presents a study of geometric nonlinear forced vibration of carbon nano-tubes (CNTs) reinforcement composite plates on nonlinear elastic foundations. The plate is bonded with piezoelectric layers. The von Karman geometric nonlinearity assumptions with classical plate theory are employed to obtain the governing equations. The Galerkin and homotopy perturbation method (HPM) are utilized to investigate the effect of carbon nano-tubes volume fractions, large amplitude vibrations, elastic foundation parameters, piezoelectric applied voltage on frequency ratio and primary resonance. The results indicate that the carbon nano-tube volume fraction, applied voltage and elastic foundation parameters have significant effect on the hardening response of carbon nanotubes reinforced composite (CNTRC) plates. | ||
| Key Words | ||
| nonlinear forced vibration; carbon nano-tube; elastic foundation, Homotopy Perturbation method | ||
| Address | ||
| Ali A. Yazdi: Department of Mechanical Engineering, Quchan University of Technology, P. O. Box 94717-84686, Quchan, Iran | ||