基于节点松弛法的张拉整体结构力学性能分析  

NODAL RELAXATION METHOD FOR TENSEGRITY STRUCTURES:ANALYSIS OF MECHANICAL PROPERTIES

作　　者：冯晓东 冯达 赵文雁 陈耀[4] 郑亦汶 FENG Xiao-dong;FENG Da;ZHAO Wen-yan;CHEN Yao;ZHENG Yi-wen(School of Civil Engineering,Shaoxing University,Shaoxing,Zhejiang 312000,China;College of Civil Engineering and Architecture,Zhejiang University,Hangzhou,Zhejiang 310058,China;Civil and Environmental Engineering,Harbin Institute of Technology(Shenzhen),Shenzhen,Guangdong 518055,China;Department of Civil Engineering,Southeast University,Nanjing,Jiangsu 211189,China)

机构地区：[1]绍兴文理学院土木工程学院,浙江绍兴312000 [2]浙江大学建筑工程学院,浙江杭州310058 [3]哈尔滨工业大学(深圳)土木与环境工程学院,广东深圳518055 [4]东南大学土木工程学院,江苏南京211189

出　　处：《工程力学》2025年第3期100-112,共13页Engineering Mechanics

基　　金：国家自然科学基金项目(51908356);国家留学基金委项目(202008330250)。

摘　　要：为有效分析张拉整体结构的非线性力学行为,提出了一种节点松弛的方法。在每一阶段,通过对单个或多个并行节点进行连续释放和固定,将张拉整体结构的整体变形分解为局部节点位移的叠加。采用几何求解和Newmark-β法,逐步平衡静力和动力过程中节点上的单元合力,从而得到结构的平衡构型;对经典的六杆张拉整体结构进行了双索驱动下的结构静力相应的求解,并以索杆和弹簧杆两种张拉整体结构为例,计算了相同荷载作用下的动力响应,验证了该算法的有效性;在此基础上,对索杆张拉整体结构开展了索失效研究,以平均振幅比和索失效率作为评价指标,对此类结构的最佳受冲击节点的位置给出了合理化建议。A nodal relaxation method is proposed to efficiently analyze the nonlinear mechanical behavior of tensegrity structures.At each stage,the global deformation of a tensegrity structure is decomposed into the superposition of local node displacements by continuous release and fixation of single or multiple parallel nodes.To obtain the equilibrium structural configuration,the combined elemental force on nodes in both static and dynamic processes is gradually balanced by using geometric and Newmark-βmethods.The static analysis of the classic six-bar tensegrity is carried out with the condition of two actuation cables,and the dynamic response of both cable-strut and spring-strut tensegrities under the same load is calculated,which verifies the effectiveness of the algorithm.On this basis,the study on cable failure for cable-strut tensegrity structures is performed,the average amplitude ratio in conjunction with the cable failure efficiency are set as evaluation indicators,and some reasonable suggestions are proposed for the nodal placement in resisting impact loadings.

关 键 词：非线性分析 张拉整体 节点松弛 索失效 动力响应 

分 类 号：TU394[建筑科学—结构工程]