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本文引用格式:陈代海,王雅南,李整.基于板单元形函数的公路桥梁车桥耦合振动分析方法研究[J].动力学与控制学报,2019,17(4):318~325;   Chen Daihai,Wang Ya′nan,Li Zheng.Study on highway bridge vehicle bridge coupling vibration based on interpolation function of plate element[J].Journal of Dynamics and Control,2019,17(4):318-325.
基于板单元形函数的公路桥梁车桥耦合振动分析方法研究    点此下载全文
陈代海  王雅南  李整
郑州大学 土木工程学院, 郑州 450001,郑州大学 土木工程学院, 郑州 450001,郑州大学 土木工程学院, 郑州 450001
基金项目:国家自然科学基金资助项目(51408557),中国博士后科学基金资助项目(2013M541995)
DOI:10.6052/1672-6553-2019-027
摘要:
      为研究公路多片式梁桥的车桥耦合振动问题,提出一种基于矩形薄板形函数的车桥耦合振动分析方法.该方法以车轮与桥面接触点为界,将车桥耦合系统分为汽车与桥梁2个子系统,分别采用虚功原理与有限元法建立各自的运动方程,并通过车轮与桥面接触处的位移协调条件及车桥相互作用力的平衡关系相耦合,采用矩形薄板形函数实现车桥接触点位移与桥梁节点位移的联系以及车桥相互作用力的分配,通过迭代求解汽车和桥梁的运动方程得到其动力响应.根据分析方法的计算流程,编制了汽车 桥梁耦合系统的动力分析程序,并通过算例分析验证其可行性.研究结果表明,使用基于矩形薄板形函数的公路桥梁车桥耦合振动分析方法得到的车桥动力响应具有较好的精度,该方法具有广泛的适用性,可为多片式梁桥的车桥耦合振动分析提供一种新思路.
关键词:桥梁工程,动力分析,车桥耦合振动,板单元形函数
Study on highway bridge vehicle bridge coupling vibration based on interpolation function of plate element    Download Fulltext
Chen Daihai  Wang Ya′nan  Li Zheng
Fund Project:
Abstract:
      In order to study the vehicle bridge coupling vibration of multi girders highway bridges, a method based on interpolation function of rectangular thin plate element was proposed. In this method, the contact points between the wheels and the bridge surface were utilized as the boundary condition, which divide the vehicle bridge coupling system into two subsystems. The equations of motion of the vehicle were established by the virtual work principle, while those of the bridge were obtained by the finite element method. Based on the displacement coordination condition between the wheels and the bridge surface and the balanced relationship of axle interaction force, the relationship between the axle contact point and the node of the bridge and the distribution of axle interaction forces were achieved by the rectangular thin plate shape function. The dynamic responses were obtained by iteratively solving the equations of motion of the vehicle and bridge. According to the computational procedure of this method, a program for dynamic analysis of the vehicle bridge coupling system was compiled, and its feasibility was verified by numerical examples. The results show that the proposed method can predict dynamic responses of the vehicle bridge coupling system with higher accuracy, and the method has wide applicability, which provides a new view for the vehicle bridge coupling vibration analysis of multi girder bridges.
Keywords:bridge engineering,dynamic analysis,vehicle bridge coupling vibration,interpolation function of plate element
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