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5. The separable Hamiltonian system and complete biorthogonal expansion method of Mindlin plate bendin

The separable Hamiltonian system and complete biorthogonal expansion method of Mindlin plate bendin

来源 :中国科学：物理学、力学、天文学英文版 | 被引量 : 0次 | 上传用户：duyyy12345

【摘 要】

：

A separable Hamiltonian system of Mindlin plate bending problems is obtained. Using the equivalence between the differential form and integral form of the separ

【作 者】

：

HOU GuoLin QI GaoWa XU YaNan C 

【机 构】

：

SchoolofMathematicalSciences

【出 处】

：

中国科学：物理学、力学、天文学英文版

【发表日期】

：

2013年5期

【关键词】

：

MINDLIN板 板弯曲问题 哈密顿系统 双正交 分离 正交关系 积分形式 本征函数 separable Hamiltonian system  mindlin 

【基金项目】

：

supported by the National Natural Science Foundation of China (Grant No. 10962004),the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant No. 2012MS0105)

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A separable Hamiltonian system of Mindlin plate bending problems is obtained. Using the equivalence between the differential form and integral form of the separable Hamiltonian system, the biorthogonal relationships of the eigenfunctions are presented. Ba

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