飘浮体系连续主梁两端简支多跨斜拉桥的二阶静力分析  

A Simplied Method for the Calculation of Effect of Axial Force in a Cable-stay Bridge

作　　者：蔡松柏[1] 李存权[1] 李家宝[1] 

机构地区：[1]湖南大学土木工程系,长沙410003

出　　处：《贵州大学学报（自然科学版）》1992年第2期107-114,共8页Journal of Guizhou University:Natural Sciences

摘　　要：本文以梁的振型函数为位移试函数,基于最小势能原理,采用拉氏乘子法强制满足桥墩处主梁的位移条件,对斜拉桥拉索的轴力,塔架和主梁的弯矩,轴力及挠曲位移作了计算。文中考虑了梁、塔的轴向力对挠度的影响(即梁——柱效应),采用牛顿迭代法修正求解。由于利用了梁振型函数的正交性,刚阵形成简单。计算实例表明,只需取试函数的前几项迭代3—5次,使可得到较满意的解答。本法计算量,未知量均很少,可在微机上求解。Based on the priniciple of minimum potential energy and Lagrangian approach, the axial force of cable, moment of beam and moment of tower-frame are calculated by using the vibrating mode function. In this paper, the effect of axial force have been considered by using Newton method to modify the solution. Because of the olthogonality properties of vibrating mode functions. Stiffness matrix is easy to formate. Numerical results show that the convergence and accuracy is good and the problem can be solved with a micro computer.

关 键 词：斜拉桥 轴向力效应 静力分析 二阶 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]