[1]冯晓东,杨伟家,李锋,等.基于二次奇异值分解法的张拉整体结构找形分析[J].西安建筑科技大学学报(自然科学版),2021,53(04):502-509.[doi:10.15986/j.1006-7930.2021.04.006]
　FENG Xiaodong,YANG Weijia,LI Feng,et al.Form-finding analysis of tensegrity structure based on quadratic singular value decomposition method[J].J. Xi’an Univ. of Arch. & Tech.(Natural Science Edition),2021,53(04):502-509.[doi:10.15986/j.1006-7930.2021.04.006]
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基于二次奇异值分解法的张拉整体结构找形分析()
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西安建筑科技大学学报（自然科学版）[ISSN:1006-7930/CN:61-1295/TU]

卷:
53
期数:
2021年04期
页码:
502-509
栏目:
出版日期:
2021-08-28

文章信息/Info

Title:
Form-finding analysis of tensegrity structure based on quadratic singular value decomposition method
文章编号:
1006-7930(2021)04-0502-08
作者:
冯晓东1; 杨伟家1; 李锋2; 赵颖超3; 冷新中4
(1.绍兴文理学院 土木工程学院,浙江 绍兴 312000; 2.绍兴市城投建筑工业化制造有限公司,浙江 绍兴 312000; 3.浙江交工集团股份有限公司,浙江 杭州 310000; 4.浙江省建工集团有限责任公司,浙江 杭州 310000)
Author(s):
FENG Xiaodong1; YANG Weijia1; LI Feng2; ZHAO Yingchao3; LENG Xinzhong4
(1.School of Civil Engineering,Shaoxing University,Shaoxing 312000,China; 2.Shaoxing City Investment & Construction Industrial Manufacturing Co.,Ltd,Shaoxing 312000,China; 3.Zhejiang Communications Construction Group Co.,Ltd,Hangzhou 310000,China; 4.Zhejiang Construction Engineering Group Co.,Ltd,Hangzhou 310000,China)
关键词:
张拉整体结构;  力密度找形;  几何对称性;  奇异值分解
Keywords:
tensegrity structure;  force density form-finding;  geometric symmetry;  singular value decomposition
分类号:
TU394
DOI:
10.15986/j.1006-7930.2021.04.006
文献标志码:
A
摘要:
为解决给定张拉整体结构的可行力密度找形问题,本文提出一种基于二次奇异值分解的优化设计方法.该方法需事先根据结构的几何对称性对构件进行合理分组,并在此基础上重组平衡矩阵,通过奇异值分解法求解线性齐次方程组以获得满足要求的可行初始力密度.同时引入了切线刚度矩阵特征值的计算方法来检验张拉整体结构的稳定性.最后,基于空间十二杆张拉整体结构不同分组的计算结果,利用木棒和弹力绳模拟拉压单元制作模型,验证了结构形态的合理性及本文算法的有效性.
Abstract:
In order to solve the form-finding problem of feasible force density for a given tensegrity structure,an optimal design method based on quadratic singular value decomposition is presented. In this method,the component groups should be reasonably divided according to the geometric symmetry of the structure,and then the balance matrix should be reorganized. The singular value decomposition method is then used to solve the linear homogeneous system of equations in seeking the feasible force density that meets the requirements. The method of calculating the eigenvalue of the tangent stiffness matrix is also introduced to check the stability of the tensegrity structure. Finally,the wooden bar and elastic rope are used to simulate the tensegrity components,and the model is assembled based on the calculation results of different groups of the 12-strut spatial tensegrity structure,verifying the rationality of the structure configuration and the effectiveness of the proposed algorithm.

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(编辑 桂智刚)

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备注/Memo

备注/Memo:
收稿日期:2021-01-14 修改稿日期:2021-07-05
基金项目:国家自然科学基金资助项目(51908356); 浙江省自然科学基金资助项目(LQ19E080013); 中国博士后科学基金资助项目(2019M662056); 绍兴文理学院国际科技合作项目(2019LGGH1005).
第一作者:冯晓东(1987-),男,博士,副教授,研究方向为大跨度空间结构及智能可展结构.E-mail:xiaodong.feng@csu.edu.cn
更新日期/Last Update: 2021-08-28