Topological force finding analysis of bar structure
Firstly,the paper studied various types of linear graph representations of a bar-type structure.Secondly,the incidence matrix is introduced to assemble the equilibrium matrix,and a new form of equilibrium matrix independent of the specific shape geometry of the structure is derived.The concept of topological force finding analysis is proposed based on this form of equilibrium matrix.Finally,the equilibrium matrices and their null spaces in different cases of a bar-type structure are compared.The correctness and applicability of linear graph representation and topological force finding for various types of bar structures are further verified.
bar structurelinear graphsequilibrium matricestopological force finding
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