Vol. 16, No. 2, pp. 170-180 (2020)
IMPROVED FORCE ITERATION METHOD BASED ON RATIONAL SHAPE DESIGN
SOLVING SELF-STRESS MODES OF CABLE-TRUSS TENSILE STRUCTURE
Su-duo Xue1, Jian Lu1,*, Xiong-yan Li1 and Ren-jie Liu2
1College of Civil and Architecture Engineering, Beijing University of Technology
100 Ping Le Yuan, Chaoyang District, Beijing 100124, China
2Civil Engineering College Institute, Yantai University, Yantai, Shandong 264000, China
* (Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 15 August 2019; Revised: 19 April 2020; Accepted: 29 April 2020
DOI:10.18057/IJASC.2020.16.2.8
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ABSTRACT
Cable-truss tensile structure is one of the most competitive spatial structures. The shape determination and solving self-stress modes are two key problems in design. Although equilibrium matrix theory can solve the two problems, it need good programming and matrix operation capacity, which is difficult to be mastered by engineers and designers. Other methods are mainly used to solve self-stress modes, but how to design rational shape of structure is not introduced and these methods cannot be directly used in finite element (FEM) software. For these problems, based on existed FEM software, the improved force iteration method based on rational shape is proposed. The new method is based on the topological relation of cable-truss tensile structure, and a simple formula for shape determination was deduced from the rational shape. By studying force iteration method, improved force iteration method is proposed to solve self-stress mode of cable-truss tensile structures. The new method is based on the idea that is shape determination first and then solving self-stress modes, which can rapidly determine rational shape and self-stress mode. And then the feasible prestress can be solved. The new method can be used in FEM software and consider material properties and nonlinearity. Numerical examples show that the new method has a systematic solution flow and high convergence accuracy.
KEYWORDS
Cable-truss tensile structure, Shape determination, Self-stress modes, FEM, Improved force iteration method
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