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[1]陈务军,杜贵首,任小强.索杆张力结构力密度找形分析方法[J].建筑科学与工程学报,2010,27(01):7-11.
　CHEN Wu-jun,DU Gui-shou,REN Xiao-qiang.Form-finding Analysis Method of Force Density for Cable-strut Tension Structure[J].Journal of Architecture and Civil Engineering,2010,27(01):7-11.
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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:
27卷
期数:
2010年01期
页码:
7-11
栏目:
出版日期:
2010-03-20

文章信息/Info

Title:
Form-finding Analysis Method of Force Density for Cable-strut Tension Structure
作者:
陈务军,杜贵首,任小强
上海交通大学 空间结构研究中心,上海 200030
Author(s):
CHEN Wu-jun, DU Gui-shou, REN Xiao-qiang
Space Structure Research Centre, Shanghai Jiaotong University, Shanghai 200030, China
关键词:
索杆张力结构;  力密度矩阵;  秩亏;  可行力密度;  M-P广义逆矩阵
Keywords:
cable-strut tension structure;  force density matrix;  deficiency;  feasible force density;  M-P generalized inverse matrix
分类号:
TU345.1
DOI:
-
文献标志码:
A
摘要:
根据索杆张力结构体系特征,建立了一种修正的力密度平衡形态分析方法; 基于单纯索网体系力密度法,推导出了索杆自平衡体系力密度平衡方程; 根据索杆张力结构的自应力模态、机构位移模态、无约束自平衡条件和力密度矩阵数值特征,推导出了力密度矩阵的秩亏条件,并引入力密度和节点向量线性条件约束索杆结构的几何模型; 通过高斯变换降秩法得到满足秩亏的降秩力密度矩阵,并由M-P广义逆矩阵更新了力密度,迭代计算后得到可行力密度; 根据一组独立无关坐标和拓扑关系计算了平衡形态位形,最后采用VC++编程实现了算法。结果表明:该方法适用于索杆张力结构的找形分析,具有一定的正确性和有效性。
Abstract:
A modified force density method(MFDM)was developed for form-finding analysis due to the inherent characteristics of cable-strut tension structure systems. On the basis of conventional force density method of pure cable-net system, the force density equilibrium equation was formulated for the cable-strut self-equilibrated assembly. Since the cable-strut assembly had self-equilibrium unstressed mechanism, stress mode, free body and the properties of force density matrix, the rank deficiency of the matrix was deduced. The linear constraint of force density and nodal coordinate vector were applied to the analytical model. The deficiency force density matrix could be obtained with the Gaussian transformation deficiency, the updated force density could be got with M-P generalized inverse matrix, and the feasible force density was solved iteratively. The final equilibrated form was calculated with non-dependable nodal coordinate and topology. Finally, the program was developed with VC++. The results show that the proposed method can applied to form-finding analysis of cable-strut tension structure, and the algorithm is correct and available.

参考文献/References:

[1] SCHEK H J.The Force Density Method for Form Finding and Computation of General Network[J].Computer Methods Applied Mechanics and Engineering,1974,3(1):115-134.
[2]MOTRO R.Tensegrity:Structural Systems for the Future[M].London:Butterworth-Heinemann,2003.
[3]TIBERT A G,PELLEGRINO S.Review of Form-finding Methods for Tensegrity Structures[J].International Journal of Space Structures,2003,18(4):209-223.
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[7]许世展,贺拴海,盖轶婷.基于索鞍无预偏施工悬索桥的施工仿真[J].长安大学学报:自然科学版,2007,27(1):35-39. XU Shi-zhan,HE Shuan-hai,GAI Yi-ting.Construction Simulation for Suspension Bridge with Non-pre-bias of Cable Saddle[J].Journal of Chang'an University:Natural Science Edition,2007,27(1):35-39.
[8]刘来君,贺拴海.索鞍无预偏施工悬索桥主缆的温度效应[J].长安大学学报:自然科学版,2007,27(1):40-44. LIU Lai-jun,HE Shuan-hai.Temperature Effect on Suspension Bridge with Non-pre-bias of Cable-saddle[J].Journal of Chang'an University:Natural Science Edition,2007,27(1):40-44.

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备注/Memo

备注/Memo:
收稿日期:2009-12-11
基金项目:国家自然科学基金项目(50878128); 国家自然科学基金项目(50808122)
作者简介:陈务军(1969-),男,重庆市人,教授,博士研究生导师,工学博士,博士后,E-mail:cwj@sjtu.edu.cn。
更新日期/Last Update: 2010-03-20