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浙江大学学报(工学版)
浙江大学学报(工学版)  2017, Vol. 51 Issue (11): 2093-2100    DOI: 10.3785/j.issn.1008-973X.2017.11.001
土木与交通工程     
基于线性规划的张拉整体结构位移优化控制
许贤1, 蔡晖映1, 孙凤先2, 罗尧治1
1. 浙江大学 空间结构研究中心, 浙江 杭州 310058;
2. 中设设计集团股份有限公司 城市轨道与地下空间设计所, 江苏 南京 210014
Optimal displacement control of tensegrity structures based on linear programming
XU Xian1, CAI Hui-ying1, SUN Feng-xian2, LUO Yao-zhi1
1. Space Structures Research Center, Zhejiang University, Hangzhou 310058, China;
2. China Design Group Co. Ltd. Urban rail and underground space design institule, Nanjiang 210014, China
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摘要：

针对结构在外界荷载下的主动控制问题，提出基于线性规划的张拉整体结构的位移优化控制模型，通过改变结构构件长度调整节点坐标、修正结构形态至一个更为有利的状态.模型以结构位移为优化目标，以作动器的主动变形量为控制变量，以结构工作状态系数、作动器参数为约束条件，选取三棱柱张拉整体单元为例，研究不同工况、不同控制指标、不同作动器数量及布置情况下的位移优化控制.设计一个具有主动单元的张拉整体结构模型，验证了理论模型和方法的有效性与可行性.结果表明，通过引入作动器主动调节构件长度，可以实现结构的形态调整、达到位移控制目标.
Abstract:

An optimal displacement control model based on linear programming was proposed for the active control of structure under external load to describe the adjustment of node coordinates and optimization of structure form by changing element lengths. The structural displacement was used as the objective. The active length changes of actuators were used as control variables.The structural work state coefficients and the parameters of actuators were used as constraints. A three-strut tensegrity system was chosen as a basic example, and the effects of load cases, objectives, number and distribution of actuators on the performance of the optimal displacement control were analyzed. A physical tensegrity model using active struts was designed and manufactured to verify the feasibility and effectiveness of the proposed model and method. It is shown that adjustment of structure form and control of structural displacement is realized by changing the lengths of active members.
收稿日期: 2016-10-31 出版日期: 2017-11-13
CLC:  TU318  
基金资助:

国家自然科学基金资助项目（51378458）；浙江省自然科学基金资助项目（LR17E080001）.
通讯作者: 罗尧治,男,教授,博导.ORCID:0000-0002-9484-775X.     E-mail: Luoyz@zju.edu.cn
作者简介: 许贤(1981-),男,副教授,博导,从事空间结构新体系的理论与应用等研究.ORCID:0000-0002-6300-8646.E-mail:xian_xu@zju.edu.cn
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引用本文:

许贤, 蔡晖映, 孙凤先, 罗尧治. 基于线性规划的张拉整体结构位移优化控制[J]. 浙江大学学报(工学版), 2017, 51(11): 2093-2100.

XU Xian, CAI Hui-ying, SUN Feng-xian, LUO Yao-zhi. Optimal displacement control of tensegrity structures based on linear programming. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2017, 51(11): 2093-2100.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2017.11.001    或    http://www.zjujournals.com/eng/CN/Y2017/V51/I11/2093

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