Free axisymmetric vibration of transversely isotropic piezoelectric circular plates |
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| Affiliation: | 1. Department of Mechanical Engineering, National Taiwan University, Taipei, 10617, Taiwan, ROC;2. Department of Mechanical Engineering, National Central University, Taoyuan, 32001, Taiwan, ROC |
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| Abstract: | Based on three-dimensional elastic theory of piezoelectric materials, the axisymmetric state space formulation of piezoelectric laminated circular plates is derived. Finite Hankel transforms are used and the boundary variables in free terms are replaced, for two kinds of boundary conditions, to obtain ordinary differential equations with constant coefficients. Regarding the axisymmetric free vibration problem, two exact solutions for two different boundary conditions are found. Discarding piezoelectric effect, the exact solutions for transversely isotropic circular laminates are also obtained through the same procedure. Numerical examples are given and compared with those of Finite Element Method (FEM) . |
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