科研之友
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摘要
In order to deal with dynamic post buckling problem of piezoelectric thin plate, a nonlinear piezoelectric thin plate theory which is based on first order shear deformation theory with five freedoms and von Karman geometry nonlinear strain theory is applied. By taking the first natural mode of the plate as the post buckling one, expanding stress function as the double Fourier series, performing the Galerkin procedure and carrying out the Multiple scale method, the exact solution of the non-linear dynamic post-buckling problem of transversely isotropic piezoelectric rectangular thin plates under simply supported boundary conditions and unilateral axially-pressure is obtained. The nonlinear resonance curves of dynamic post buckling of piezoelectric thin plate are presented to study the jumping phenomena. Numerical results show that the effects of the material and geometry parameters on the characteristics of dynamic post-buckling are observably large.
