悬索桥主缆变形及重力刚度新算法  

NEW ARITHMETIC FOR CABLE DEFLECTION AND GRAVITY STIFFNESS OF SUSPENSION BRIDGES

作　　者：刘钊[1] 刘厚军[1] 

机构地区：[1]东南大学土木工程学院,混凝土及预应力混凝土结构教育部重点实验室,南京210096

出　　处：《工程力学》2009年第6期127-132,共6页Engineering Mechanics

摘　　要：为分析悬索桥主缆在活载下的变形,必须考虑在初始恒载下主缆所获得的重力刚度。利用缆索线形与简支梁弯矩图之间的比拟关系,并通过活载在竖向变位上所作的外力功等于缆索重力势能的改变这一功能原理,推导了主缆在活载下的竖向变形和内力的计算公式,以及重力刚度的解析表达式。最后通过算例分析,表明该文公式较现有其它公式具有更好的计算精度。In order to analyze the cable deflections of suspension bridges subjected to live loads, the gravity stiffness of the cable under its dead load should be considered. In this paper the new formulae for the tension force, deflection and gravity stiffness of the main cable under live loads are deduced by two equations, one is from a mathematical analogue between the cable configuration and the moment diagram of a simply supported beam, the other is from the basic work-energy relation principle, that is, the work done by a live load is stored as gravity potential energy. A typical example illustrates that the new formulae presented have better preciseness than the existing ones.

关 键 词：桥梁 悬索桥 重力刚度 缆索 能量法 设计理论 

分 类 号：U448.25[建筑科学—桥梁与隧道工程] U441[交通运输工程—道路与铁道工程]