铁路桥墩通用计算平台任意截面形变刚度与温度初载法研究  

Research on tapered stiffness and method of temperature initial load for general calculation platform of railway pier based on arbitrary section

作　　者：王雨权 国巍[2] 苏伟 廖立坚 李林安[3] 周俊龙 WANG Yuquan;GUO Wei;SU Wei;LIAO Lijian;LI Lin’an;ZHOU Junlong(Civil Engineering Design Research Department,China Railway Design Corporation,Tianjin 300308,China;School of Civil Engineering,Central South University,Changsha 410075,China;Department of Mechanics,Tianjin University,Tianjin 300350,China;Engineering Technology Research Institute,China Construction Sixth Engineering Bureau Corp.,Ltd.,Tianjin 300170,China)

机构地区：[1]中国铁路设计集团有限公司土建工程设计研究院,天津300308 [2]中南大学土木工程学院,湖南长沙410075 [3]天津大学力学系,天津300350 [4]中国建筑第六工程局有限公司工程技术研究院,天津300170

出　　处：《铁道科学与工程学报》2023年第8期2923-2933,共11页Journal of Railway Science and Engineering

基　　金：中国铁路设计集团有限公司科研项目(2021A240602)。

摘　　要：为了提高铁路桥墩及基础批量化设计中桥墩外力及变形的计算精度,解决复杂墩形的外力及墩顶位移等设计指标的高效精准求解难题,研制了适用于计算任意横截面、沿墩高形变的铁路桥墩通用计算平台,构建一套基于任意截面形变单元加载技术为核心的铁路桥墩仿真计算方法。该方法的关键步骤有:1)通过自定义任意桥墩截面输入格式及基于泊松方程的有限元网格剖分求解方法,搭建任意截面几何特性计算功能;2)通过基于力的平衡及余能定理、卡氏第二定理,推导形变刚度矩阵,利用结构力学法得到等效节点荷载,进而建立形变单元加载算法;3)通过自定义温度场,并引入初轴力、初弯矩概念,然后基于单元力学平衡关系,得到形变单元的等效温度节点力,从而创建温度效应的初载法;4)据此编制完成铁路桥墩通用计算平台,并分别采用商业有限元软件Midas对(60+100+60)m高铁连续梁桥墩地震力、采用Abaqus对圆端形形变构件空心墩温度作用墩顶位移进行验证。研究结果表明:平台的地震力计算结果与Midas的最大误差为0.18%,表明形变刚度及任意截面几何特性计算功能满足工程精度要求;温度作用下,当墩高超过21 m时,平台计算墩顶位移与Abaqus的最大误差为0.52%,误差随墩高增加而减小,表明温度效应的初载法准确度高。研究成果可为研制相同类型铁路桥墩设计仿真平台提供一种精度高且技术路线可行的简便方法。To improve the calculation accuracy of the external force and deformation of bridge piers in the batch design of railway piers and foundations and to solve the problem of efficient and accurate solution of the design indexes such as external force and pier top displacement of complex pier shapes,a comprehensive calculation platform was developed.This platform can assess deformations in railway piers with arbitrary cross-sections and tapering along the pier height and a set of simulation calculation methods for railway piers based on the core technology of arbitrary cross-sectional tapered element loading is constructed.The key steps of the method were:1)The calculation of geometric properties of arbitrary sections was built by customizing the input format of arbitrary pier sections and the finite element mesh dissection solution method based on Poisson’s equation;2)The tapered stiffness matrix was derived based on the equilibrium of forces and the residual energy theorem and Carlson’s second theorem,and the equivalent nodal loads were obtained using the structural mechanics method,and then the tapered element loading algorithm was established;3)The initial load method for temperature effects was created by customizing the temperature field and introducing the concepts of initial axial force and initial bending moment,and then obtaining the equivalent temperature nodal force for the tapered element based on the element mechanical equilibrium relationship;4)Accordingly,the general calculation platform of railway bridge pier was completed,and the seismic force of(60+100+60)m high speed railway continuous girder pier was verified by using the commercial finite element software Midas,and the top displacement of the round endshaped hollow piers with tapered cross-section by temperature was verified by Abaqus.The research results show that:the maximum error of the seismic force calculation results of the platform and Midas is 0.18%,indicating that the tapered stiffness and arbitrary cross-sectional geometric charact

关 键 词：桥墩 形变刚度 任意截面 温度初载法 计算平台 

分 类 号：U443.22[建筑科学—桥梁与隧道工程]