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张力索杆结构最小势能分析方法与结构特性研究
引用本文:陈务军,杜贵首,任小强. 张力索杆结构最小势能分析方法与结构特性研究[J]. 计算力学学报, 2010, 27(6): 1001-1005
作者姓名:陈务军  杜贵首  任小强
作者单位:上海交通大学,空间结构研究中心,上海,200030
基金项目:国家自然科学基金(50878128)资助项目.
摘    要:张力索杆结构为柔性多态体系,计算方法复杂。本文基于势能最小化迭代建立平衡态的最小势能方法,推导了体系势能、下降向量及步长列式,建立势能最小化共轭梯度法迭代格式,并用VC++编程实现了算法。通过正交四边形网格索网数值分析算例验证了程序正确性,并分析了新型六边形网格马鞍形双曲索网和索杆张拉整体结构的非线性荷载特性。研究表明最小势能迭代分析是一种有效的柔性张力结构非线性分析方法。

关 键 词:张力索杆结构  最小势能迭代法  共轭梯度法
收稿时间:2008-12-29
修稿时间:2010-03-29

Minimization iteration procedure of potential energy and structural analysis for the tension cable-strut structure
CHEN Wu-jun,DU Gui-shou and REN Xiao-qiang. Minimization iteration procedure of potential energy and structural analysis for the tension cable-strut structure[J]. Chinese Journal of Computational Mechanics, 2010, 27(6): 1001-1005
Authors:CHEN Wu-jun  DU Gui-shou  REN Xiao-qiang
Affiliation:Space Structure Research Centre, Shanghai Jiaotong University, Shanghai 200030;Space Structure Research Centre, Shanghai Jiaotong University, Shanghai 200030;Space Structure Research Centre, Shanghai Jiaotong University, Shanghai 200030
Abstract:The tension cable-strut structure features flexibility, nonlinearity, and morphology complex nature. This needs complicated state transformation and computational algorithm for structural analysis. On the basis of minimization iteration procedure of potential energy, the equilibrium was developed through iteration method. The potential energy, decent vector of potential energy minimization and incremental iteration step-length were formulated sequentially. The iteration procedure was formulated with Conjugate Gradient of potential energy minimization, and the program was developed accordingly with VC++. The program was proved correct through numerical verification of a typical orthogonal square cable-net structure. The load-capacity and deformation performance were investigated for a novel hexagonal cable-net and a novel two-story tensegrity structure respectively. The minimum potential energy iterative method was demonstrated effective for the nonlinear structural analysis of flexible cable-strut structure.
Keywords:tension cable-strut structure  minimization iteration of potential energy method  conjugate gradient method
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