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弹性地基梁的单元刚度矩阵及其固端内力
引用本文:舒宣武,薛淑桃. 弹性地基梁的单元刚度矩阵及其固端内力[J]. 华中科技大学学报(城市科学版), 2003, 20(1): 38-40
作者姓名:舒宣武  薛淑桃
作者单位:华南理工大学,建筑设计研究院,广东,广州,510640
摘    要:引进弹性地基梁单元特征矩阵和积分常数矩阵的概念,揭示了特征矩阵和积分常数矩阵互为逆矩阵这一事实,使得求解弹性地基梁的问题变得简单明了。提出的求弹性地基梁单元刚度矩阵的方法以及求其上作用均布荷载的固端内力的方法,物理概念明确,编程简单,可用于有限元的结构分析程序中。

关 键 词:弹性地基 梁 单元刚度矩阵 固端内力 有限元 结构分析
文章编号:1000-5730(2003)01-0038-03
修稿时间:2002-11-25

Element Stiffness Matrix and Fixed-ended Element Forces of Elastic Foundation Beam
SHU Xuan wu XUE Shu tao. Element Stiffness Matrix and Fixed-ended Element Forces of Elastic Foundation Beam[J]. Journal of Huazhong University of Science and Technology, 2003, 20(1): 38-40
Authors:SHU Xuan wu XUE Shu tao
Affiliation:SHU Xuan wu 1 XUE Shu tao 1
Abstract:By introducing element property matrix of elastic foundation beam and integrate constant matrix, it is proved that the two matries are convere matrixes each other so that finding the solution of elastic foundation beam becomes simple and clear. The method presented and used to determine element stiffness matrix and fixed ended element forces of elastic foundation beam caused by loads is clear in physical conception and simple in programming, and can be used in finite element structural analysis.
Keywords:elastic foundation beam  element stiffness matrix  fixed ended element forces  finite element  structure analysis  
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