三杆张拉整体的结构刚度分析  

Structural stiffness of three-bar tensegrity

作　　者：罗阿妮[1] 伍承旭 刘贺平[1] LUO Ani WU Chengxu LIU Heping(College of mechanical and electrical engineering, Harbin Engineering University, Harbin 150001 ,China)

机构地区：[1]哈尔滨工程大学机电学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2017年第9期1450-1455,共6页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51605111;51675114);中央高校基本科研业务费专项项目(HEUCFM170701)

摘　　要：三杆张拉整体结构是张拉整体结构体系的基础,为了更好的研究张拉整体结构体系的力学性能,本文对三杆张拉整体结构刚度影响因素进行了研究。根据张拉整体的构型理论,利用Matlab软件编程,建立了三杆张拉整体结构的数学模型以及有限元模型。通过数值仿真计算,分析了在轴向力和扭矩作用下,预紧力、材料弹性模量以及构件截面尺寸对结构轴向、径向、扭转变形的影响。由仿真计算数据结果得出:对张拉整体结构刚度的主要影响因素是预紧力,而材料弹性模量、构件截面尺寸等影响因素次之,该结论为改善张拉整体结构刚度提供了一定的理论支持。Three-bar tensegrity structure is the basis of tensegrity system. In order to better study the mechanical performance of tensegrity system, the factors that influence the stiffness of a three-bar tensegrity structure were investigated in this study. Matlab software was utilized to establish the mathematical and finite-element models of the three-bar tensegrity structure in accordance with the structural theory of tensegrity. Numerical simulation calculations were performed to obtain the pretightening force ; the elastic modulus of material ; and the effects of the section size of the structure on axial, radial, and torsional deformation under axial force and torque. The analysis of simulation data revealed that tensegrity structural stiffness is mainly influenced by pretightening force, followed by the elastic modulus of the materials and the sectional size of structural parts. Results provide theoretical support for the improvement of the stiffness of the tensegrity structure.

关 键 词：张拉整体 弹性刚度 几何刚度 预紧力 弹性模量 截面尺寸 平衡矩阵 

分 类 号：TU399[建筑科学—结构工程]