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J4  2010, Vol. 44 Issue (1): 166-173    DOI: 10.3785/j.issn.1008-973X.2010.01.030
土木与建筑工程     
张力结构位移限制下的形状调整强度优化分析
肖南,黄玉香,董石麟,肖新
(浙江大学 建筑工程学院,浙江 杭州 310058)
Strength optimization analysis of tensegrity structure by shape adjustments under restricted displacements
XIAO Nan, HUANG Yu-xiang, DONG Shi-lin, XIAO Xin
(College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China)
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摘要:

为了提高张力结构的刚度和减小结构受力,在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.定义结构的合理工作状态系数,推导作动器的主动变形向量与结构内力向量、结点位移向量等的几何非线性迭代矩阵表达式.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优化模型,并编制相应的求解程序.通过算例表明,在作动器调整张力结构的形状后,在相同荷载作用下,结构的刚度获得提高,并且仅通过在索中布设作动器,可以达到杆件受力减小而结构刚度增大的优化目的.

Abstract:

Actuators were introduced into the structure for shape adjustment in order to enhance the stiffness and reduce the interior forces of tensegrity structure. The reasonable working state coefficient of the structure was defined and the iterative matrix equations of interior force vector and nodal displacement vector including the active displacement vector of actuator were derived considering the geometric nonlinearity. Then a linear programming model was established for minimizing the working state coefficient subjected to the restricted nodal displacements, cable stresses and working parameters of the actuator. Through the optimization model, the active displacements of the actuators were solved and a Matlab program was developed. The results of example show that the structural stiffness was enhanced under the same loads by varying the structural shape, and the objectives of both minimizing the interior forces and enhancing the stiffness were reached by just disposing actuators in cables.

出版日期: 2010-02-26
:  TU 560.3030  
基金资助:

国家自然科学基金资助项目(50638050,50978228).

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, 黄玉香, 董石麟, 等. 张力结构位移限制下的形状调整强度优化分析[J]. J4, 2010, 44(1): 166-173.

XIAO Na, HUANG Yu-Xiang, DONG Dan-Lin, DENG. Strength optimization analysis of tensegrity structure by shape adjustments under restricted displacements. J4, 2010, 44(1): 166-173.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2010.01.030        http://www.zjujournals.com/eng/CN/Y2010/V44/I1/166

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