图解张拉整体基本单元稳定构型

doi:10.3901/JME.2021.23.047

机械工程学报 ›› 2021, Vol. 57 ›› Issue (23): 47-52.doi: 10.3901/JME.2021.23.047

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图解张拉整体基本单元稳定构型

罗阿妮, 刘贺平, 赖潇亮

哈尔滨工程大学机电工程学院哈尔滨 150001

收稿日期:2021-01-26 修回日期:2021-04-28 出版日期:2021-12-05 发布日期:2022-02-28
通讯作者: 刘贺平(通信作者),男,1975年出生,博士,教授,博士研究生导师。主要研究方向为张拉整体结构和空间可展结构。E-mail:liuheping@hrbeu.edu.cn
作者简介:罗阿妮,女,1978年出生,博士,副教授,博士研究生导师。主要研究方向为张拉整体结构和空间可展结构。E-mail:luoani@hrbeu.edu.cn
基金资助:
国家自然科学基金（51835002，51875111）和黑龙江省自然科学基金（LH2019E023，LH2020E062）资助项目。

Diagrams for Stable Configurations of the Basic Tensegrity Unit

LUO Ani, LIU Heping, LAI Xiaoliang

College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001

Received:2021-01-26 Revised:2021-04-28 Online:2021-12-05 Published:2022-02-28

摘要/Abstract

摘要： 张拉整体结构是由受拉的索构件及受压的杆构件组成的自平衡结构体系。基本柱、台结构单元，是构成任意复杂结构的基础。规则分形条件下，基于构件空间几何位置及构件力与构件矢量关系，简洁明了地获得了主辅分形参数：杆数目p、共节点杆与斜索另一端连接节点序号差j之间需要满足的空间几何位置关系。该几何关系以构件施加给节点的力平衡来表征。基于共点3力平衡必构成首尾相接封闭三角形原理，分析获得了稳定构型状态，上下端面节点空间位置几何关系，进而依据构件与节点间的连接矩阵定义，完成结构的构件布置，形成自应力稳定构型。

关键词: 张拉整体, 基本单元, 稳定构型, 分形, 力平衡, 首尾相接封闭力三角形

Abstract: The tensegrity structure is self-stabilized system composed of tension strings and compressed bars. The basic tensegrity prism and frustum units are foundations of complex tensegrity structures. The spatial geometric position relationship is obtained concisely, which is determined by the main and auxiliary fractal parameters-the total number p of bars, the number difference j between the serial numbers of nodes at the other end of bar and string who are connected to a common node, based on the components' spatial geometric position and the relationship between the force and vector of the components, under the regular fractal condition. The geometric relationship is represented by the nodes' force balance exerted by the components. The stable configurations and the geometric relationship between the nodes of up and down sections are analyzed and obtained based on the principle that three forces compose an end-to-end closure triangle while balanced. The components layout of the tensegrity structure is then determined according to the definition of the connection matrix between components and nodes, and the self-stabilized configuration is formed.

Key words: tensegrity structure, basic unit, stable configuration, fractal, force balance, end-to-end closed force triangle

中图分类号:

TP242

罗阿妮, 刘贺平, 赖潇亮. 图解张拉整体基本单元稳定构型[J]. 机械工程学报, 2021, 57(23): 47-52.

LUO Ani, LIU Heping, LAI Xiaoliang. Diagrams for Stable Configurations of the Basic Tensegrity Unit[J]. Journal of Mechanical Engineering, 2021, 57(23): 47-52.

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图解张拉整体基本单元稳定构型

Diagrams for Stable Configurations of the Basic Tensegrity Unit

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