弹性波理论在简支桥面板中的应用研究  

Application of Elastic Wave Theory in Simply Supported Deck Slab

作　　者：梁栋 邹轩 LIANG Dong;ZOU Xuan(College of Civil and Transportation,Hebei University of Technology,Tianjin 300401,P.R.China;Hebei Civil Engineering Technology Research Center,Tianjin 300401,P.R.China)

机构地区：[1]河北工业大学土木与交通学院,天津300401 [2]河北省土木工程技术研究中心,天津300401

出　　处：《重庆交通大学学报（自然科学版）》2019年第9期34-38,共5页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：天津市交通运输委员会科技发展计划项目(2016A-07);石家庄市交通运输局科技项目(2015016)

摘　　要：针对公路桥梁越来越宽的实际情况,为弥补既有结构动力学振动方程对计算非轴向位置振动响应的不足,基于弹性波理论中的球面波动方程推导了二维波动方程,用于计算横桥向车-桥耦合时桥面任意点振动情况,并利用有限元软件ANSYS建立模型与二维波动方程进行结果对比分析。研究表明:二维波动方程能有效计算非轴向位置的振动响应,且计算过程简便,弥补了经典方法中结构动力学公式无法对横桥向振动状态进行较精确计算的不足。With the widening of roads and bridges,there still exist the shortcomings in the dynamic vibration equations of the present structures for calculating the non-axial vibration response,so the 2D wave equation,based on the spherical wave equation,was derived from the elastic wave theory used for calculating the vibration of the bridge surface at any point in case of the vehicle-bridge coupling.The results of the model and the 2D wave equation established by the finite element software ANSYS show that the variance between the two is less than 10%and the 2D wave equation can better calculate the vibration response of the non-axial position in a simpler way,making up for what lacks in the classical calculation of the transverse vibration state.

关 键 词：桥梁工程 二维波动方程 新方法 横桥向 

分 类 号：U442.1[建筑科学—桥梁与隧道工程]