哈尔滨工程大学学报2026，Vol.47Issue(6)：1301-1307,1317,8.DOI:10.11990/jheu.202405042
六杆球形张拉整体结构非光滑静力学建模
Non-smooth static modeling of six-bar spherical tensegrity structures
摘要
Abstract
In the static analysis of tensegrity structures,conventional finite element methods have difficulty accurately characterizing the tension-compression asymmetric mechanical behavior caused by the compressive slackening of flexible cables.This nonsmooth characteristic may lead to abrupt changes in member stiffness as the stress state switches,thereby reducing the convergence of iterative calculations.Therefore,it is necessary to establish and solve accurate equilibrium equations that account for the constitutive relationship of bimodular materials,so as to achieve reliable static analysis of such structures.Non-smooth statics equations of tensegrity structures were derived incorporating constitutive relations of components,using nodal coordinates as generalized coordinate vectors;these equations can be reduced to the traditional finite element formulation.The core of the method lies in transforming the calculation of nodal displace-ment into the solution of a linear complementarity problem,enabling static analysis of tensegrity structures with arbitrary prestress within an acceptable error range.Results indicate that slackening in the main structural cables increases the centroid variation by 2.83%,while the internal forces in the bars and cables rise by 1.50%and 2.58%,respectively,thereby accelerating component failure.Slackened cables,the equilibrium configuration,and the internal force distribu-tion after deformation are successfully predicted by the present approach,which provides a solid theoretical basis for ac-curate mechanical analysis and design of tensegrity structures.关键词
张拉整体/绳索松弛/本构关系/双模量材料/非光滑静力学/有限元方法/线性互补问题/平衡方程Key words
tensegrity/cable slackening/constitutive relation/bi-modulus material/non-smooth statics/finite el-ement method/linear complementarity problem/equilibrium equation分类
信息技术与安全科学引用本文复制引用
冯亚铭,罗阿妮,曹紫莺,陆金鑫,刘贺平..六杆球形张拉整体结构非光滑静力学建模[J].哈尔滨工程大学学报,2026,47(6):1301-1307,1317,8.基金项目
国家自然科学基金项目(51875111). （51875111）
