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| Topological force finding analysis of bar structure |
| Received:June 16, 2023 Revised:September 10, 2023 |
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| DOI：10.7511/jslx20230616001 |
| KeyWord:bar structure linear graphs equilibrium matrices topological force finding |
| Author | Institution |
| 张志宏 |
上海师范大学 建筑工程学院 土木系, 上海 |
| 赵恺 |
上海师范大学 建筑工程学院 土木系, 上海 |
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| Abstract: |
| 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. |