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论文类型：期刊论文

发表时间：2015-05-25

发表刊物：STRUCTURAL ENGINEERING AND MECHANICS

收录刊物：SCIE、EI、Scopus

卷号：54

期号：4

页面范围：793-807

ISSN号：1225-4568

关键字：statically indeterminate structure; influence lines of reaction and internal forces; closed-form solution; direct kinematic method; principle of virtual displacement

摘要：Constructing the influence lines of forces of statically indeterminate structures is a traditional issue in structural engineering and mechanics. However, the existing kinematic method for establishing these force influence lines is an indirect or mixed approach by combining the force method with the theorem of reciprocal displacements, which is yet inconsistent with the kinematic method for statically determinate structure. This paper proposes the direct kinematic method in conjunction with the load-displacement differential relation for exactly constructing influence lines of reaction and internal forces of indeterminate structures. Firstly, through applying the principle of virtual displacement, the formula for influence lines of reaction and internal forces of indeterminate structure via direct kinematic method is derived based on the released structure. Then, a computational approach with a clear concept and unified procedure as well as wide applicability based on the load-displacement differential relation of beam is suggested to achieve conveniently the closed-form expression of force influence lines, and exactly draw them Finally, three representative examples for constructing force influence lines of statically indeterminate beams and frame illustrate the superiority of the proposed method.