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浙江大学学报(工学版)
J4  2009, Vol. 43 Issue (8): 1513-1519    DOI: 10.3785/j.issn.1008-973X.2009.
土木与建筑工程     
张力结构形状调整优化分析
肖南,肖新,董石麟
(浙江大学 建筑工程学院，浙江 杭州 310027)
Shape optimization analysis of tensegrity structure
 XIAO Na, XIAO Xin, DONG Dan-Lin
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, China
 全文: PDF(1220 KB)  
摘要：

通过在张力结构杆件中引入作动器,主动调整杆件的长度,改变结构的形状,以提高张力结构的刚度和减小结构受力.定义了结构的合理工作状态系数,得出了作动器与杆件串联时的综合刚度和考虑作动器主动变形量的结点位移方程.以结构工作状态系数最小为目标,以作动器主动变形量为未知量,考虑索的应力约束、结点的位移约束以及作动器参数等约束条件建立了优化模型,编制了相应的求解程序.通过算例表明,作动器工作调整张力结构的形状后,在相同荷载作用下,结构的刚度大大提高,并且通过合理地布设作动器,可以达到杆件受力减小而结构刚度增大的优化目的.
关键词： 张力结构;  形状调整;  作动器;  线性规划    
Abstract:

In order to enhance the stiffness and to reduce the interior forces of tensegrity structures, actuators which could vary members’ length actively were introduced into tensegrity structures for shape adjustment. The reasonable working state coefficient of the structure was defined and the synthetic stiffness of members and actuators was derived, then the nodal displacement equations were  deduced considering the actuators’ active deformations. A linear programming model was established for optimizing the working state coefficient subjecting to the limited nodal displacements, cable stresses and working parameters of the actuator. Through the optimization model, the actuators’ active displacements were solved and a Matlab program was developed. The results of two examples showed that the optimization method greatly enhances the structural stiffness under the same loads by varying the structural shape, and reaches the objectives of minimizing the interior forces and enhancing the stiffness by reasonably disposing actuators.
Key words: tensegrity structure    shape control    actuator    linear programming
出版日期: 2009-09-01
:  TU 560.3030  
基金资助:

国家自然科学基金重点资助项目（50638050）；国家“863”高技术研究发展计划资助项目（2007AA04Z441）.
作者简介: 肖南（1965-），男，江西南康人，副教授，博士，主要从事大跨度空间结构研究.
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引用本文:

肖南, 肖新, 董石麟. 张力结构形状调整优化分析[J]. J4, 2009, 43(8): 1513-1519.

XIAO Na, XIAO Xin, DONG Dan-Lin. Shape optimization analysis of tensegrity structure. J4, 2009, 43(8): 1513-1519.

链接本文:

http://www.zjujournals.com/xueshu/eng/CN/10.3785/j.issn.1008-973X.2009.    或    http://www.zjujournals.com/xueshu/eng/CN/Y2009/V43/I8/1513

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