[1]陆金钰,舒赣平,李娜.基于机构位移模态的受荷可展结构平衡状态找形方法[J].东南大学学报(自然科学版),2011,41(3):616-621.[doi:10.3969/j.issn.1001-0505.2011.03.036]
 Lu Jinyu,Shu Ganping,Li Na.Form-finding approach for equilibrium configuration of deployable structure subjected to external loads based on internal mechanism[J].Journal of Southeast University (Natural Science Edition),2011,41(3):616-621.[doi:10.3969/j.issn.1001-0505.2011.03.036]
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基于机构位移模态的受荷可展结构平衡状态找形方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
41
期数:
2011年第3期
页码:
616-621
栏目:
土木工程
出版日期:
2011-05-20

文章信息/Info

Title:
Form-finding approach for equilibrium configuration of deployable structure subjected to external loads based on internal mechanism
作者:
陆金钰舒赣平李娜
(东南大学土木工程学院,南京 210096)
(东南大学混凝土与预应力混凝土教育部重点实验室,南京 210096)
Author(s):
Lu JinyuShu GanpingLi Na
(School of Civil Engineering, Southeast University, Nanjing 210096, China)
(Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, Nanjing 210096, China)
关键词:
可展结构机构位移模态找形分析荷载模式平衡矩阵
Keywords:
deployable structure internal mechanism form-finding analysis load pattern equilibrium matrix
分类号:
TU393
DOI:
10.3969/j.issn.1001-0505.2011.03.036
摘要:
基于欠约束机构和过约束机构的共性,提出了一种运用内部机构位移分析受荷可展结构平衡状态的找形方法.通过建立体系的势能函数,利用最速下降原理,推导了机构位移模态的组合系数,以确定荷载作用下可展结构的运动方向.机构位移模态可由可展结构的平衡矩阵经奇异值分解求得.给出了非线性找形算法的详细流程,并推导了平衡状态判定公式.最后,以空间铰接杆系机构与径向可开启结构为数值算例,实现了找形过程的运动模拟及平衡状态的确定,并探讨了可开启结构在不同荷载模式下的展开率.研究表明,基于机构位移模态的找形算法具有很好的准确性及稳定性.
Abstract:
Based on the common characteristics of under-constraint and over-constraint mechanism, a form-finding approach for equilibrium configuration of deployable structure subjected to external loads is proposed. The potential energy equation of system is established. Utilizing the rapid convergence theory of the steepest descent method, the combination coefficient of mechanism modes is deduced, which can be used for the determination of the movement direction under different load patterns. The inextensional mechanism mode is generated by the singular value decomposition of equilibrium matrix for deployable structure. The detailed algorithm procedure for the form-finding approach is conducted and the criterion of equilibrium configuration is also presented in the paper. Finally, the numerical simulation of a three-dimensional pin-jointed mechanism and a radial retractable structure are illustrated. Furthermore, the expansion ratio of the retractable structure under different load patterns is discussed. The analysis shows that the unified form-finding approach based on internal mechanism had good accuracy and robustness.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介:陆金钰(1981—),男,博士,讲师,davidjingyu@gmail.com.
基金项目:国家自然科学基金资助项目(51008065)、江苏省自然科学基金资助项目(BK2009287)、教育部博士点新教师基金资助项目(20090092120017)、中国博士后科学基金资助项目(20100471367)、东南大学新进博士科研启动基金资助项目(9205000020).
引文格式: 陆金钰,舒赣平,李娜.基于机构位移模态的受荷可展结构平衡状态找形方法[J].东南大学学报:自然科学版,2011,41(3):616-621.[doi:10.3969/j.issn.1001-0505.2011.03.036]
更新日期/Last Update: 2011-05-20