华南理工大学学报(自然科学版) ›› 2005, Vol. 33 ›› Issue (8): 75-79.
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苏建华 韩大建 徐其功
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Su Jian-hua Han Da-jian Xu Qi-gong
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摘要: 在力密度法中引入T单元的概念,建立了带T单元的力密度法平衡方程,推导了膜线单元以及索边界T单元的单元力密度矩阵,编制了带T单元的膜结构力密度法找形程序,从而解决了组合膜结构找形中边界索的“锯齿”问题.最后用算例验证了该方法的可行性及所编制程序的正确性.
关键词: T单元, 组合膜结构, 力密度法, 找形
Abstract:
The concept of T-element iS applied to the force density method.Th e equilibrium equation of the force density method with T-elements iS presented.Then,the force density matrixes of the membrane elements and the T-elements on cable edges are deduced,and the corresponding form·finding program is designed.Thus,the problem of saw.liked edge cab les in the form .finding of combined membrane structures can be solved.Th e feasibilitv of the proposed method and the correctness of the proposed program are finally verified by examples.
Key words: T·element, combined membrane structure, force density method, form-finding
苏建华 韩大建 徐其功. 带T单元的膜结构力密度法找形及程序编制[J]. 华南理工大学学报(自然科学版), 2005, 33(8): 75-79.
Su Jian-hua Han Da-jian Xu Qi-gong. Theory and Programming of Form-Finding via Force Density Method for M embrane Structures with T-Elements[J]. Journal of South China University of Technology (Natural Science Edition), 2005, 33(8): 75-79.
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