Analyzing a Bimorph Piezoelectric Nanoscale Actuator under Primary-Resonance Excitation
A. Kaghazian, A. Hajnayeb, H. M. Sedighi
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Keywords: bimorph piezoelectric beam, nonlocal elasticity theory, perturbation method, nonlinear vibrations
Abstract
In this study, nonlinear forced vibrations of a bimorph piezoelectric nanobeam are investigated by using the nonlocal elasticity theory. This nanoactuator is modeled using the Euler-Bernoulli beam theory. The Hamilton principle is used to obtain the equations of motion. The derived equations are discretized by applying the mode shapes of multi-span beams as test functions in the Galerkin decomposition method. The discretized equations are then solved using the perturbation method. A parametric study is conducted to show the significance of size effects on the dynamic behavior of nanoactuators. The results show that an increase in the nonlocal parameter leads to a decrease in the fundamental natural frequency of the nanobeam and to an increase in the response amplitude.
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