MATEC Web Conf.
Volume 260, 20192018 7th International Conference on Power Science and Engineering (ICPSE 2018)
|Number of page(s)||5|
|Section||Electronics and Electrical Automation|
|Published online||25 January 2019|
Modeling of Damped Vibrations of Cantilevered Piezoelectric Actuators
University of Electronic Science and Technology of China, Zhongshan Institute, Zhongshan, Guangdong, 528400 China
2 Zhongshan Branch of State Key Laboratory of Electronic Thin Films and Integrated Devices, Zhongshan, Guangdong, 528400 China
3 University of Electronic Science and Technology of China, School of Mechanical & Electrical Engineering, Chengdu, Sichuan, 611731 China
Damped vibrations of cantilevered piezoelectric actuators were modeled and analyzed. The differential equations of motion derived by the extended Hamilton’s principle were a boundary-value problem with nonhomogeneous boundary conditions. An equivalent boundary-value problem with homogeneous boundary conditions was established through transformation and solved by modal analysis. Responses in time and frequency domains for unimorph and bimorph were obtained. Frequency response functions under excitations of voltage and tip force were verified by three-dimensional finite element method (FEM). Discrepancies between the analytical and FEM results were within 3%. Effects of distributed viscous damping were investigated using the analytical model. Numerical results showed that the vibration amplitude and resonant frequencies changed in opposite directions with increasing damping. This phenomenon was also reported in literature on generic cantilevers of a single material.
© The Authors, published by EDP Sciences, 2019
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