Please wait a minute...
JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE)  2017, Vol. 51 Issue (11): 2093-2100    DOI: 10.3785/j.issn.1008-973X.2017.11.001
Civil and Traffic Engineering     
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
Download:   PDF(1991KB) HTML
Export: BibTeX | EndNote (RIS)      

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.



Received: 31 October 2016      Published: 13 November 2017
CLC:  TU318  
Cite this article:

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.

URL:

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


基于线性规划的张拉整体结构位移优化控制

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.

[1] TIBERT A G. Deployment tensegrity structure for space applications[D]. Stockholm, Sweden:Royal Institute of Technology, 2002.
[2] EDBERG D L. Control of flexible structures by applied thermal gradients[J]. AIAA Journal, 1987, 25(6):877-883.
[3] FEST E, SHEA K, DOMER B, et al. Adjustable tensegrity structures[J]. Journal of Structural Engineering, 2003, 129(4):515-526.
[4] ZHONG You. Displacement control of prestresssed structures[J]. Computer Methods in Applied Mechanics and Engineering, 1997, 144(1):51-59.
[5] 沈黎元,李国强,罗永峰.预应力索结构位移控制[J].同济大学学报:自然科学版,2006,34(3):291-295. SHEN Li-yuan, LI Guo-qiang, LUO Yong-feng. Displacement control of prestressed cable structures[J]. Journal of Tongji University:Natural Science, 2006, 34(3):291-295.
[6] XU X, LUO Y. Non-linear displacement control of prestressed cable structures[J]. Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering. 2009, 223(7):1001-1007.
[7] SHEA K, FEST E, SMITH I F C. Developing intelligent tensegrity structures with stochastic search[J]. Advanced Engineering Informatics, 2002, 16(1):21-40.
[8] DOMER B, FEST E, LALIT V, et al. Combining dynamic relaxation method with artificial neural networks to enhance simulation of tensegrity structures[J]. Journal of Structural Engineering, 2003, 129(5):672-681.
[9] 许贤.张拉整体结构的形态理论与控制方法研究[D].杭州:浙江大学, 2009. XU Xian. Tensegrity structure form-finding buckling of compression bar genetie algorithms shape control optimal control[D]. Hangzhou:Zhejiang University, 2009.
[10] 肖新.张力结构形状调整优化分析[D].杭州:浙江大学, 2008. XIAO Xin. Shape optimization analysis of tensegrity structure[D]. Hangzhou:Zhejiang University, 2008.
[11] 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].浙江大学学报:工学版,2010,44(1):166-173. XIAO Nan, HUANG Yu-xiang, DONG Shi-lin, et al. Strength optimization analysis of tensegrity structure by shape adjustments under restricted displacements[J]. Journal of Zhejiang University:Engineering Science, 2010, 44(1):166-173.
[12] 符刚.张拉整体结构的分析理论及其模型试验研究[D].杭州:浙江大学, 2003. FU Gang. Analytical theory and test stucy of tensegrity structures[D]. Hangzhou:Zhejiang University,2003.
[13] 张民锐,邓华,刘宏创,等.月牙形索桁罩棚结构的静力性能模型试验.浙江大学学报:工学版,2013,47(2):367-377. ZHANG Min-rui, DENG Hua, LIU Hong-chuang, et al. Model experiment on the static behaviors of a crescent-shaped cable-truss canopy structure[J]. Journal of Zhejiang University:Engineering Science, 2013, 47(2):367-377.

[1] WU Ke-xian, JIN Wei-liang, XIA Jin. Influence of load partial factors adjustment on design of masonry structures[J]. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2018, 52(10): 1901-1910.
[2] LOU Wen-juan, LUO Gang, YANG Xiao-hui, LU Ming. Fluctuating aerodynamic characteristics and wind-induced swing response of typical iced conductors[J]. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2017, 51(10): 1988-1995.