悬索大挠度风振响应的有限体积法分析

A finite-volume method for large deflection wind-excited response analysis of suspended cables

基于Lagrange原理,建立了一套新的悬索大挠度动力特性和动力响应分析的有限体积法列式,推导了结点力向量、质量矩阵和单元刚度矩阵的显式表达式。该列式的一个显著特点是直接利用工程应变定义结构变形,其物理意义明确,列式简单,适用于各种垂度和荷载情况的悬索大挠度动力分析。实例动力特性和随机风振响应分析表明,该有限体积列式不仅计算效率高,而且具有良好的计算精度。

A finite-volume formulation for the analysis of large-deflection dynamic characteristics and dynamic responses of suspended cables is established based on the principle of Lagrange. The explicit expressions of the nodal force vector, mass and tangent stiffness matrices are presented. A particularly important feature of the present formulation is the use of the engineering strains instead of the Green strains for defining the cable deformations. As a result the formulation is simple and has a clear physical meaning. Numerical examples for the analysis of dynamic characteristics and stochastic wind-excited responses are given. The obtained results indicate that the present method is accurate and efficient and is applicable to large-deflection dynamic analysis of suspended cables in any sag and loading conditions.