基于分叉传递矩阵法的多跨连续刚构桥桥墩有效长度系数  

Effective length coefficient of pier of multi-span continuous rigid-frame bridge based on transfer matrix method with branch

作　　者：康厚军 郭忠 张晓宇 苏潇阳 丛云跃 KANG Hou-jun;GUO Zhong;ZHANG Xiao-yu;SU Xiao-yang;CONG Yun-yue(State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures,Guangxi University,Nanning 530004,China;School of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Scientific Research Center of Engineering Mechanics,Guangxi University,Nanning 530004,China;Guangxi Communications Design Group Co.Ltd.,Nanning 530004,China)

机构地区：[1]State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures,Guangxi University,Nanning 530004,China [2]School of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China [3]Scientific Research Center of Engineering Mechanics,Guangxi University,Nanning 530004,China [4]Guangxi Communications Design Group Co.Ltd.,Nanning 530004,China

出　　处：《Journal of Central South University》2024年第2期542-557,共16页中南大学学报（英文版）

基　　金：Projects(11972151,11872176)supported by the National Natural Science Foundation of China。

摘　　要：桥墩的有效长度系数对桥墩的稳定性和强度十分重要。为解决桥墩的稳定性问题,本文建立了一种便于采用传递矩阵法求解的新颖力学模型,并基于该方法计算了多跨连续刚构桥的有效长度系数。首先,建立n跨刚构桥的一般力学模型,并利用传递矩阵法推导了其在考虑自重荷载情况下的平面内稳定特征方程,进而求得弹性屈曲载荷和有效长度系数,并将其与有限元法得到的结果进行对比,从而验证所提理论和方法的正确性。其次,研究了用碳纤维增强聚合物和超高性能混凝土加固桥墩时,桥墩有效长度系数的变化规律。最后,探讨了边跨与中跨之比、桥面梁刚度以及桥墩刚度对桥墩有效长度系数的影响。结果表明,增强整体结构刚度比增强局部刚度对提高稳定性更有效,桥梁边跨和中跨跨度对有效长度系数的影响较大。同时,还观察到碳纤维增强聚合物加固高度改变时,桥墩有效长度系数变化曲线产生了独特的双峰效应。The effective length coefficient of the pier(ECP)is important for both the stability and the strength of the piers.The ECP of multi-span continuous rigid-frame bridge is calculated by a new model and the corresponding semi-analytical solution method in order to solve the stability of the bridge pier.Firstly,a general mechanical model of the nspan rigid-frame bridge is established,and its characteristic equation for the in-plane stability under consideration of self-weight load is derived using the transfer matrix method(TMM).The elastic buckling load and the ECP are obtained,and are compared with the results acquired by the finite element method to verify the correctness of the proposed theory and method.At the same time,the ECP is investigated when the pier is reinforced by carbon fiber reinforced polymer(CFRP)and ultra-high performance concrete(UHPC),respectively.Additionally,the effects of the ratio of side span to mid span,deck girder stiffness and pier stiffness on the ECP are also explored.The results show that enhancing the stiffness of the overall structure is more effective than enhancing that of the local structure to improve stability,and the ECP is affected significantly by the variation of side span or mid span.Interestingly,a unique bimodal effect is also observed in the ECP curves with the change in the CFRP reinforcement height.

关 键 词：有效长度系数 面内稳定性 桥墩 传递矩阵法 刚构桥 

分 类 号：U448.23[建筑科学—桥梁与隧道工程]