The study of micro-inextensible piezoelectric cantilever plate

2018 International Conference on Material Strength and Applied Mechanics

材料科学;力学

Chen, L.H.^1 ; Xu, J.W.^1 ; Zhang, W.^1

Department of Mechanics, Beijing University of Technology, Beijing

100124, China^1

关键词: External excitation frequency;    Hamilton's principle;    Matlab- software;    Nonlinear dynamic behaviours;    Nonlinear oscillation;    Piezoelectric cantilever plate;    Poincare surfaces;    Strain gradient theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/372/1/012031/pdf
DOI  :  10.1088/1757-899X/372/1/012031

来源: IOP

【 摘 要 】

In this paper, a micro-inextensible piezoelectric cantilever plate is analyzed and its nonlinear dynamic behaviour is studied. The nonlinear oscillation differential equation is established by using Hamilton's principle with the application of strain gradient theory to consider the size effect, and inextensible theory to consider the large deformation and rotation effect of cantilever plate. Based on MATLAB software, using the Runge-Kuta method, we can obtain the response of the nonlinear oscillation differential equation. The influences of the strain gradient length scale parameter and voltage on the dynamic response of micro piezoelectric cantilever plate are investigated separately. The results confirmed an increase of the stiffness of the system by using the strain gradient theory and the amplitude of the vibration is reduced. The vibration of the system can be controlled by applying an active voltage. The effect of external excitation frequency on nonlinear dynamic behaviour is considered by using Poincare surface of section and diagrams of waveforms, phase and bifurcation.