索的UL列式分析方法  

A UL Formulation for Cables

作　　者：肖万伸[1] 曾庆元[2] 唐国金[1] 

机构地区：[1]国防科技大学航天与材料工程学院力学博士后流动站 [2]中南大学铁道校区,湖南长沙410075

出　　处：《国防科技大学学报》2001年第5期31-35,共5页Journal of National University of Defense Technology

摘　　要：通过求解索的微分方程边值问题 ,提出了分析索的收敛迭代公式。利用迭代解可顺利地确定索端位置坐标差、索力及索重之间的关系。算例表明 :本文计算索的方法 ,理论上可达到任意高的精度 ,可十分方便地用于含有索或索网混合复杂结构物的大变形分析 ,用这种方法能解决斜拉桥缆索应力松驰的计算问题。A convergent iterative solution method for cables is formulated after solving the boundary problem with differential equation of a cable. By using the iterative solution, it is simple to determine the relation among the coordinate difference of cable end position, cable tension and cable weight. The examples demonstrate that the present scheme for cable calculation can be as theoretically concise as required, and it is convenient to be used for analysing largely deformed complicated structures including cables or cable nets, and the present method makes it possible to solve the divergence problem of stress relieve of cables caused by employing some techniques such as Ernst Model for cables.

关 键 词：索 缆索 UL列式 大变形 分析方法 微分方程 边值问题 收敛迭代公式 斜拉桥 

分 类 号：U448.27[建筑科学—桥梁与隧道工程] U443.38[交通运输工程—道路与铁道工程]