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四边自由的矩形厚板的自由振动
引用本文:王克林 王瑞. 四边自由的矩形厚板的自由振动[J]. 应用力学学报, 1991, 8(2): 73-81
作者姓名:王克林 王瑞
作者单位:西安冶金建筑学院(王克林),西安矿业学院(王瑞)
摘    要:由于要满足自由边的条件,使得本文所研究的板的分析相当困难。本文采用叠加法完满的解决了这个不易克服的困难,并使得边界条件能满足到任意精度,所取的位移解的每一项都严格满足控制微分方程。

关 键 词:矩形 板 自由边 自由振动 叠加法

Free Vibration of Thick Rectangular Plates With Four Free Edges
Wang Kelin. Free Vibration of Thick Rectangular Plates With Four Free Edges[J]. Chinese Journal of Applied Mechanics, 1991, 8(2): 73-81
Authors:Wang Kelin
Affiliation:Wang Kelin (Xi'an Institute of Metallurgy and Construction Engincering) Wang Rui (Xi' an Mining Institute)
Abstract:Plates of tho type studied in this paper have traditionally brought about serious difficulties to the analyst because of the formidable problem of trying to satisfy the free edge conditions. Such difficulties have been obviated through exploitation of the method of superposition and the boundary conditions found to be satisfied to any disired degree of exactitude. The governing differential equations are, of course, completely satisfied by each term used in the displacement.
Keywords:thick rectangular plate   free edge   free vibration   method of superposition.
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