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带有自由边的矩形板的重三角级数解
引用本文:王克林. 带有自由边的矩形板的重三角级数解[J]. 西安建筑科技大学学报(自然科学版), 1988, 0(3)
作者姓名:王克林
作者单位:西安冶金建筑学院基础课部
摘    要:本文把用重三角级数解矩形板固定边问题的方法推广到解自由边问题。从而可用重三角级数解带有自由边的矩形板的弯曲、稳定和自由振动问题。其优点是数学处理简洁,所得结果数学形式统一,便于应用。

关 键 词:矩形板  重富里哀级数  自由边

Double Fourier Series Solutions to Rectangular Plates With Free Edges
Wang Kelin. Double Fourier Series Solutions to Rectangular Plates With Free Edges[J]. Journal of Xi'an University of Architecture & Technology, 1988, 0(3)
Authors:Wang Kelin
Affiliation:Department of Basic Course
Abstract:In this paper, the method of using double Foarier. Series to solve the problems of clamped rectangular plates is generalized to deal with problems concerning free edges. Therefore it becomes possible to use double Fourier Series to solve the problems of bending, buckling and free vibration of rectangular plates with free edges. The method has the advantages of terse algebraic manipulation, uniform mathematic expression and easy application.
Keywords:rectangular plate  double Fourier Series  free edge
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