刚构体系斜拉桥塔柱计算长度系数求解方法研究  

RESEARCH ON METHOD FOR EFFECTIVE LENGTH FACTOR OF TOWER COLUMN IN RIGID-FRAME CABLE-STAYED BRIDGE

作　　者：康厚军 钱登宇 苏潇阳 张晓宇 丛云跃 KANG Hou-jun;QIAN Deng-yu;SU Xiao-yang;ZHANG Xiao-yu;CONG Yun-yue(College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Guangxi Communications Design Group Co.LTD,Nanning 530004,China)

机构地区：[1]广西大学土木建筑工程学院,南宁530004 [2]广西交通设计集团有限公司,南宁530004

出　　处：《工程力学》2025年第1期44-52,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(11972151,11872176)。

摘　　要：斜拉桥塔柱计算长度的取值是验算其承载能力极限状态的关键问题。基于斜拉桥中拉索对桥面梁起弹性支撑作用的受力特点,针对刚构体系斜拉桥塔柱计算长度取值问题提出了一个新方法和力学模型,即传递矩阵法和三梁离散弹簧模型。该模型将塔柱和主梁视为考虑轴向变形影响的欧拉伯努利梁,将斜拉索简化为有质量的弹簧。利用传递矩阵法进行求解,通过考虑边界条件以及连续性条件,推导出系统的稳定特征方程,进而得出塔柱面内稳定计算长度系数。最后,通过算例分析和有限元计算结果的对比,验证了该文中所提出的理论和方法的可行性,能够满足刚构体系独塔斜拉桥计算分析和塔柱计算长度评估的需要。The determination of the effective length of the tower column in a cable-stayed bridge is a key problem in estimating the ultimate state of its load-carrying capacity.Based on the mechanical characteristics of a stay cable supporting deck elastically,a new method and a mechanical model,and a transfer matrix method and a triple-beam mechanical model with discrete springs,are proposed for calculating the effective length of the tower column of a cable-stayed bridge with a rigid frame system.In the model,the tower column and main girder are regarded as Bernoulli-Euler beams with the consideration of axial deformation,and cables are simplified as springs with mass.By utilizing the transfer matrix method,the stability characteristic equation of the system is derived considering the boundary and continuity conditions.In this way,the effective length factor for the in-plane stability of the tower is obtained.Finally,the case study and its comparison with results obtained by finite element method verify the validity of the proposed theory and processing method,which can meet the needs of the computational analysis of a single-tower cable-stayed bridge with a rigid frame system and,of the evaluation of effective length of the tower column.

关 键 词：斜拉桥 塔柱 传递矩阵法 计算长度系数 有限元方法 

分 类 号：U448.27[建筑科学—桥梁与隧道工程] O317[交通运输工程—道路与铁道工程]