NONLINEAR VIBRATION ANALYSIS OF PIEZOELECTRIC FGM PLATE UNDER STRONG ELECTRIC FIELDS BY SPLINE FINITE POINT METHOD

Abstract

Abstract: In the strong electric field, the natural frequency of piezoelectric FGM plate cannot be accurately solved based on the linear constitutive equations. For this, a dynamic analysis model that considering the nonlinear piezoelectric constitutive relation is established by using the spline finite point method (SFPM) in this paper, and the impact of the nonlinear piezoelectric effect to the natural frequency is discussed in the environment of strong electric. Numerical results show that natural frequency of piezoelectric FGM plate has large deviation between nonlinear and linear results in strong electric field. And, nonlinear effects can't be ignored in this case. Owing to the special material properties of FGM, different control on the natural frequency can be obtained with different applying ways of the electric. The analysis modal based on the SPFM is accurate and reliable. Moreover, it is simple to make the input and easy to deal with the boundary conditions.

Key words: piezoelectric material, functionally gradient material, nonlinear piezoelectric effect, natural frequency, spline finite point method

CLC Number:

TB332

LI Shuang-bei, HUANG Jun, GU Chun-xia, HUANG Xian-zhi. NONLINEAR VIBRATION ANALYSIS OF PIEZOELECTRIC FGM PLATE UNDER STRONG ELECTRIC FIELDS BY SPLINE FINITE POINT METHOD[J]. COMPOSITES SCIENCE AND ENGINEERING, 2014, 0(4): 8-12.

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