Analytic solutions for the free vibration of rectangular thin plates with two adjacent corners point-supported
Analytic solutions for the free vibration of rectangular thin plates with two adjacent corners point-supported
复制标题
两邻角点支撑矩形薄板自由振动解析解
DOI：
10.1007/s00419-015-1020-9
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发表时间：
2015-05
影响因子：
2.8
通讯作者：
Gang Li
中科院分区：
文献类型：
--
作者：
Rui Li;Bo Wang;Gang Li
首次利用一种最新的辛叠加方法得到了两相邻角点支承矩形薄板的解析自由振动解，这展示了逐步求解的能力。
Analytic free vibration solutions of rectangular thin plates with two adjacent corners point-supported are obtained for the first time by using an up-to-date symplectic superposition method, which demonstrates the ability to yield solutions via step-by-step derivations from the governing equations, without predetermining any forms of solutions. The essential difference between the current method and the other ones is that the solution procedure is conducted in the symplectic space rather than in the classical Euclidean space. This extends the scope of application of eigen expansion and paves the way for more analytic solutions of similar problems. Comprehensive highly accurate numerical results are presented to show the validity of the current solutions and to provide the benchmarks for future comparison and verification of other methods.
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DOI：
10.1016/j.ijsolstr.2014.07.016
发表时间：
2014-10
影响因子：
3.6
作者：
Zhenhuan Zhou;A. Leung;Xinsheng Xu;X. Luo
通讯作者：
Zhenhuan Zhou;A. Leung;Xinsheng Xu;X. Luo
DOI：
10.1016/0020-7683(93)90230-5
发表时间：
1993-01-01
影响因子：
3.6
作者：
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通讯作者：
STRIZ, AG
影响因子：
4.7
作者：
Zhong Wan-xie;F. Williams
通讯作者：
Zhong Wan-xie;F. Williams
影响因子：
3.3
作者：
Jeng-Tzong Chen;I. Chen;K. Chen;Ying-Te Lee;Y. Yeh
通讯作者：
Jeng-Tzong Chen;I. Chen;K. Chen;Ying-Te Lee;Y. Yeh
影响因子：
3.9
作者：
L. Zhao;Wei-qiu Chen
通讯作者：
L. Zhao;Wei-qiu Chen