Topological variation for truss structure analysis
Ziming Zhang
Abstract
Ziming Zhang
Abstract
Based on the concept of basic internal force and generalized constraint matrix, a new method was proposed for calculation of the internal force of truss structures. By use of topological variation and responses of trusses, all the information needed for structure analysis was obtained at the same time of generation of the truss structure, and the structure calculation can be performed conveniently in different cases. Without requirement for establishment of simultaneous equations for solution, the method is simple in operation, and convenient in programming.
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Based on the concept of basic internal force and generalized constraint matrix, a new method was proposed for calculation of the internal force of truss structures. By use of topological variation and responses of trusses, all the information needed for structure analysis was obtained at the same time of generation of the truss structure, and the structure calculation can be performed conveniently in different cases. Without requirement for establishment of simultaneous equations for solution, the method is simple in operation, and convenient in programming.
Key concepts: Truss, Constraint (computer-aided design), Simple (philosophy), Variation (astronomy), Topology (electrical circuits), Matrix (chemical analysis), Mathematics, Computer science