索状柔系结构稳定平衡形状和张力计算
THE STABLE CURVE AND TENSION FOR A CABLE-LIKE FLEXIBLE STRUCTURE
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摘要: 本文研究工程中某些索状柔系结构在任意铰节点荷栽作用下的稳定平衡形状和张力计算问题。利用虚功原理,导出了描述其稳定平衡形状的状态递推方程式并给出了数值解的迭代计算步骤。若干算例表明:利用本文介绍的理论和计算方法对求解这类问题具有计算精度高、收敛速度快、稳定性好和适应性强的优点,对本文讨论的问题,计算工作量要比有限元法少。Abstract: An equilibrium shape and tension analysis of a cable-like flexible structure subjected to arbitrary nodal loads was investigated. A set of recursion equations that describe stable state of the structure is derived from virtual work principle, and an iteration strategy to obtain a numerical solution for specified case is also proposed. The results in given example problems indicate that the algorithm has advantages over finite element method in precision and convergence for the stable curve and tension calculation.