EXACT SOLUTIONS FOR FREE VIBRATIONS OF TRANSVERSELY ISOTROPIC CIRCULAR PLATES |
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Authors: | Ding Haojiang and Xu Rongqiao |
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Institution: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, China |
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Abstract: | By virtue of the general solution of dynamic elasticity equations for transverse isotropy as well as the variable separation
method, three-dimensional exact solutions of circular plates are obtained under two types of boundary conditions. The solutions
can consider both axisymmetric and non-axisymmetric cases. Solutions based on the classical plate theory and Mindlin plate
theory are also presented under the corresponding boundary conditions. Numerical results are finally presented and comparisons
between the three theories are made.
The project is supported by the National Natural Science Foundation of China (No. 19872060). |
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Keywords: | free vibration transversely isotropic circular plate exact solution general solution |
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