张拉整体基本单元几何稳定构型分析  

Analysis of geometrically stable configurations of the basic tensegrity unit

作　　者：王艳蒙 刘贺平[1] 罗阿妮 WANG Yanmeng;LIU Heping;LUO Ani(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工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2022年第2期268-273,共6页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51835002,51875111);黑龙江省自然科学基金项目(LH2019E023,LH2020E062).

摘　　要：为了研究张拉整体基本单元的稳定构型条件,本文用张拉整体基本单元几何参数,杆构件数目p,连接同一节点的杆、斜索的另一端节点序号差j,描述稳定构型中节点位置。分析节点力平衡,获得基本单元稳定构型条件。进一步探讨连接于同一节点的杆、斜索的另一端2个节点处于不同位置时,构件空间几何位置与p、j的关系,获得基本单元稳定构型统一条件。分析获得稳定构型的条件只由杆数目p及连接同一节点的杆、斜索的另一端节点序号差j决定,并计算出稳定构型构件空间位置参数之间的函数关系。The node positions in the stable configurations are described in this paper with the geometric parameters of the basic tensegrity unit,namely p(number of bars)and j(order difference of nodes),at the other end of the bar and the vertical string connected to the same node,to study the stable configuration conditions of basic elements of tensegrity.The force-balance conditions of nodes are analyzed,and the stable configuration conditions of the basic tensegrity unit are obtained.The relationship between the spatial positions of components and parameters p and j is then further discussed,considering different conditions of two nodes at the other end of the bar and the vertical string connected to the same node.The uniform condition of stable configuration for the basic tensegrity unit is obtained.The conditions for obtaining the stable configuration are determined only by the p-number of bars and j-the difference in the number of the nodes at the other end of the bars and strings connecting the same node,and the functional relationship between the spatial position parameters of the members of the stable configuration is calculated.

关 键 词：张拉整体 基本单元 稳定构型 扭转角 几何构型 空间节点 节点平衡 力平衡 

分 类 号：TH12[机械工程—机械设计及理论]