Large Amplitude Forced Vibration of Piezoelectric Carbon Nanotube Reinforced Composite Plates Resting on Nonlinear Elastic Foundation

This paper presents a study of the geometric nonlinear forced vibration of carbon nanotube (CNT) reinforced composite plates and its effect 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 effects of carbon nanotubes volume fractions, large amplitude vibrations, elastic foundation parameters, and piezoelectric applied voltage on frequency ratio and primary resonance. The results indicate that the carbon nanotube volume fraction, applied voltage and elastic foundation parameters have significant effects on the hardening response of CNT reinforced composite (CNTRC) plates.