结构力学中的广义力法

本文根据目前结构力学的力法原理、线性空间理论和最小应变能原理,对杆系结构的力法作了进一步的探讨,提出了静不定结构的解空间的概念,并建立了广义力法典型方程。由于可以灵活地选择不同的基本结构计算系数δ_(ij)和自由项Δ_(ip),从而使线性方程组的建立在一定程度上得以简化,同时本文进一步完善了力法原则,有助于理解超静定结构内力解空间的分析构造。

THE GENERALIZED FORCE METHOD IN STRUCTURAL ANALYSIS

On the basis of the force method in structural mechanics. Using the theory of linear space and the principle of mininum strain energy, the further research of the force method is done in this paper. The concept of solution space in statically indeterminate structure have been developed and the generalized equations of force method have derived. In computing the flexibility coefficient δ_(ij) and free term △_(ip), as the different basic statically determinate structures can be established, it is obvious that forming the linear equations will be simplified to a certain extent. Also, this paper further perfacts the theory of force method, and it will be some help to us for recognizing the nature of solution in statically indeterminate structure.