Free axisymmetric vibration of transversely isotropic laminated circular plates |
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| Authors: | Ding Haojiang Xu Rongqiao Chen Weiqiu Chi Yuwei |
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| Affiliation: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, China;(2) Department of Geotechnical Engineering, Tongji University, 200092 Shanghai, China |
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| Abstract: | Based on the three dimensional elastic theory, the state equation of the axisymmetric free vibration of transversely isotropic circular plates is established. Taking the advantage of finite Hankel transform, two exact solutions are derived for two boundary conditions, i. e. the rigid-slipping boundary and elastic simply supported boundary. Finally, numerical results are presented and compared with those of FEM. The project is supported by the National Natural Science Foundation of China and the Zhejiang Provincial Natural Science Foundation. |
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| Keywords: | axisymmetric vibration transversely isotropic circular plate finite Hankel transform |
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