张力索杆结构最小势能分析方法与结构特性研究

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。

Minimization iteration procedure of potential energy and structural analysis for the tension cable-strut structure

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.