EXACT SOLUTIONS FOR FREE VIBRATIONS OF TRANSVERSELY ISOTROPIC CIRCULAR PLATES

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:haisheng1984
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By virtue of the general solution of dynamic elasticity equations for transverse isotropy as wellas the variable separation method,three-dimensional exact solutions of circular plates are obtained under twotypes of boundary conditions.The solutions can consider both axisymmetric and non-axisymmetric cases.So-lutions based on the classical plate theory and Mindlin plate theory are also presented under the correspondingboundary conditions.Numerical results are finally presented and comparisons between the three theories aremade. By virtue of the general solution of dynamic elasticity equations for transverse isotropy as wellas the variable separation method, three-dimensional exact solutions of circular plates are obtained under twotypes of boundary conditions. The solutions can consider both axisymmetric and non-axisymmetric cases .o- lutions based on the classical plate theory and Mindlin plate theory are also presented under the correspondingboundary conditions. Numerical results are finally presented and comparisons between the three theories aremade.
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