Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method
Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method
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DOI：
10.1016/j.mechrescom.2008.01.004
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发表时间：
2008-06
影响因子：
2.4
通讯作者：
Y. Zhong;Jianhua Yin
中科院分区：
文献类型：
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作者：
Y. Zhong;Jianhua Yin
利用双重有限余弦积分变换方法，导出了弹性地基上完全自由边界矩形薄板的固有频率和振型的理论解。在分析过程中，将弹性地基视为Winkler弹性地基模型。由于只采用弹性地基上薄板的动力弹性基本方程，不需要任意选取变形函数。因此，本文提出的解更合理、更准确。为了证明解的正确性，将所得到的数值结果与文献中的结果进行了比较。
The theoretical solutions of eigenfrequencies and vibration modes of a rectangular thin plate on an elastic foundation with completely free boundary are derived by using a double finite cosine integral transform method. In the analysis procedure, the elastic foundation is regarded as a Winkler elastic foundation model. Because the basic dynamic elasticity equations of the thin plate on elastic foundation are only used, it is not needed to select the deformation function arbitrarily. Therefore, the solution developed in the present paper is more reasonable and more accurate. To prove the correctness of the solutions, numerical results obtained using the present solutions are compared with those in the literatures.