Form-finding of cable-strut structures with given cable forces and strut lengths

被引：16

作者：

Xue, Yu ^{[1
]}

Luo, Yaozhi ^{[2
]}

Xu, Xian ^{[3
]}

机构：

[1] Zhejiang Univ, Dept Civil Engn, A-818 Anzhong Bldg,866 Yuhangtang Rd, Hangzhou 310058, Zhejiang, Peoples R China

[2] Zhejiang Univ, Dept Civil Engn, A-819 Anzhong Bldg,866 Yuhangtang Rd, Hangzhou 310058, Zhejiang, Peoples R China

[3] Zhejiang Univ, Dept Civil Engn, A-725 Anzhong Bldg,866 Yuhangtang Rd, Hangzhou 310058, Zhejiang, Peoples R China

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2020年 / 106卷

基金：

中国国家自然科学基金; 国家重点研发计划;

关键词：

Form-finding; Cable-strut structures; Potential energy; Stationary point problem; FINITE-ELEMENT; TENSEGRITY;

D O I：

10.1016/j.mechrescom.2020.103530

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents a form-finding method for cable-strut structures with given cable forces and strut lengths. The topology of the structure, the internal force distribution of cables and the rest length of struts are given in advance. A total potential energy function in terms of nodal coordinates is derived according to the initial conditions. The equilibrium configuration satisfying the given initial conditions is essentially a stationary point of the energy function. An intermediate function is proposed and used to solve the stationary point problem. A configuration expected by the designer can be obtained when proper initial nodal coordinates are used. The effectiveness and practicability of the proposed method are verified by two typical examples. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：6

共 23 条

[1]

Belkacem S., 1987, RECHERCHE FORME RELA

[2] A unified approach for analysis of cable and tensegrity structures using memoryless quasi-newton minimization of total strain energy [J].

Branam, Nathan James ;

Arcaro, Vinicius ;

Adeli, Hojjat .

ENGINEERING STRUCTURES, 2019, 179 :332-340

[3]

BROYDEN CG, 1965, MATH COMPUT, V19, P557

[4] Novel Form-Finding of Tensegrity Structures Using Ant Colony Systems [J].

Chen, Yao ;

Feng, Jian ;

Wu, Yongfen .

JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME, 2012, 4 (03)

[5] RIGIDITY AND ENERGY [J].

CONNELLY, R .

INVENTIONES MATHEMATICAE, 1982, 66 (01) :11-33

[6] A FINITE ELEMENT FOR FORM-FINDING AND STATIC ANALYSIS OF TENSEGRITY STRUCTURES [J].

Gasparini, Dario ;

Klinka, Katalin K. ;

Arcaro, Vinicius F. .

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2011, 6 (09) :1239-1253

[7] A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures [J].

Li, Yue ;

Feng, Xi-Qiao ;

Cao, Yan-Ping ;

Gao, Huajian .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2010, 47 (14-15) :1888-1898

[8] CALCULATION OF PRESTRESSED CABLE NET ROOFS [J].

LINKWITZ, K .

INGENIEUR ARCHIV, 1971, 40 (03) :145-&

[9] Initial form-finding design of deployable Tensegrity structures with dynamic relaxation method [J].

Lu, Chengjiang ;

Zhu, Hongming ;

Li, Shuang .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (05) :2861-2868

[10] Algebraic tensegrity form-finding [J].

Masic, M ;

Skelton, RE ;

Gill, PE .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (16-17) :4833-4858

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