弹性地基梁的单元刚度矩阵及其固端内力

Element Stiffness Matrix and Fixed-ended Element Forces of Elastic Foundation Beam

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 。

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.