摘要
给出了用有限元方法求解位移与内力影响线的算法。其基本理论依据是功和位移的互等定理,但主要强调的是力与位移的向量概念。根据这个概念求某一单元的内力影响线时不需要在整个结构的每个节点上加载荷,而只需在这个单元的节点上加载荷,求出位移向量后挑选出所需的分量。该算法可推广到二维影响面和三维影响体的计算,是一种具有普遍性的适用于任何结构的有限元方法。
A general finite element method for computing the influence lines of dis- placment and internal force for one,two or three dimensional structure is pro- posed.The vector concept of reciprocal theory which plays the theoretical founda- tion of this method is stressed on.According to this method,it is necessary to put the unit load only on the nodes of the element required to compute influence line in stead of putting unit load on all nodes of the structure.This approach can be used to any kind of structure and can be extended to compute the 2-dimensional influence curve and 3-dimensional influence solid.
关键词
影响线
有限元
互等定理
influence line
finite element method
reciprocal theory
