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The Nonlinear Finite Element Analysis of Cable-strut Tensile Structure Based on Co-rotational Procedure

Author: ZhangJianYun
Tutor: WuJianHua
School: Chongqing University
Course: Engineering Mechanics
Keywords: Cable strut tensile structures Geometric stability Morphological analysis Static performance Four-node isoparametric cable element
CLC: TU399
Type: Master's thesis
Year: 2009
Downloads: 57
Quote: 0
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Abstract


Cable strut tensile structures by cable and strut with a modern self-balance pre span space structure system. Beautiful because of its structure, a large space to meet the needs of the people living, more and more people of all ages. Currently, at home and abroad on the cable-strut tensile structures both in theory and practice has made certain achievements. Our research in this area is not a long time, has achieved some initial results, but generally speaking, the theory is not enough depth, especially cable dome structure is not yet in our engineering examples. First, access to large amounts of relevant literature on the basis of a detailed description of the definition of cable-strut tensile structures, development, characteristics, as well as domestic and foreign research status, the proposed route of the main research and study the technology. Second, analysis of the basic theory of geometric nonlinear finite element. The main cable element model, and compare their advantages and disadvantages. In this paper, on the basis of a four-node isoparametric cable element and a two-node space bar unit combined, the lever unit tangent stiffness matrix is ??derived based on the co-rotating coordinate method, whose purpose is the theory of the four-node cable element with two nodes space straight line lever unit combined cable-strut tensile structures nonlinear finite element analysis and iterative methods for solving nonlinear finite element equations and convergence criteria. Geometric stability analysis of the structure is the primary work of the morphological analysis. This article using the singular value decomposition of the equilibrium matrix method for solving the structure of the cable-strut displacement mode and self-stress modes, with geometric force method to determine the order infinitesimal system of geometric stability, the stability of the computer program determined through the preparation of structure geometry, geometric stability of multiple types of structure determination. As a flexible structure, cable-strut tensile structures only after prestressing stiffness, form-finding analysis of cable-strut tensile structures is a key structural design. In this paper, the finite element method to solve cable-strut tensile structures known prestress solving geometric form-finding analysis, using MATLAB language computer form-finding program. For the the known geometry solving the form-finding analysis of prestressed distribution, balance equation based on the singular value decomposition method for solving the structure of prestressed distribution. Cable-strut tensile structures typical numerical example, results in good agreement with the theoretical value. Finally, this paper nonlinear finite element method static load analysis of cable-strut tensile structures. Select the structure of the various forms example, research work is based on a four-node isoparametric cable element and the total spin coordinates is derived tangent stiffness matrix rod unit, a numerical example is example compare with existing isoparametric cable element The results show that: the four-node isoparametric cable element and bar element binding deduced based on the co-rotating coordinate method can be applied to the form-finding analysis of cable-strut tensile structures and load analysis.

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