公路曲线连续梁桥车桥耦合振动研究

发布时间：2018-04-02 07:39

本文选题：曲线梁桥　切入点：车桥耦合振动　出处：《湖南大学》2014年硕士论文

【摘要】：近年来随着我国交通基础设施的快速发展，曲线连续梁桥被大量使用于高速公路跨线互通、大跨桥梁引桥和城市立交中，其中绝大部分曲线梁桥为预应力混凝土曲线梁桥。曲线梁桥静力计算理论经过近几十年的发展已基本完善，但曲线连续梁桥动力效应的研究相对较弱。我国曲线梁桥汽车载冲击系数的确定尚缺乏相关的规范条文，工程设计实践中只能参考直线梁桥的冲击系数确定方法。因此，，开展曲线梁桥车桥耦合振动研究对于曲线梁桥的设计具有重要的意义。本文采用数值模拟方法对曲线梁桥车桥耦合振动理论进行研究，进而采用MATLAB编写了曲线梁桥车桥耦合振动程序，并针对一公路曲线梁桥进行了车桥耦合振动计算，最后对一座实际曲线梁桥进行了车桥耦合振动现场实测研究，并与本文开发的曲线梁桥车桥耦合振动程序计算结果进行比较，验证了本文开发程序的可靠性。论文的主要研究内容如下： (1)在简要综述国内外车—桥耦合振动研究现状的基础上，重点对曲线梁桥车桥耦合振动研究现状进行了综述，并给出了本文主要研究内容和研究技术路线。 (2)论述了曲线梁桥结构动力有限元分析基本理论，采用空间梁单元并推导了其单元质量矩阵、刚度矩阵、阻尼矩阵、荷载列阵及单元运动方程，组集整体刚度矩阵。采用Newmark-β求解结构动力响应，基于MATLAB平台开发了曲线梁桥结构动力响应分析程序。 (3)基于刚体动力学和车辆动力学假设，将车辆离散为弹簧单元和质量单元，推导了三维整体车辆模型的运动方程。采用傅立叶逆变换方法模拟路面不平度，并编写了相应的路面不平整度模拟程序，并模拟了国家标准(GB/T7031-86)规定的A、B、C三种路面粗糙度对应的路面不平整时程信号，为后续的曲线梁桥车桥耦合振动研究奠定了基础。 (4)根据车桥耦合振动的基本理论，采用Newmark-β求解结构动力响应，基于MATLAB开发了曲线梁桥车桥耦合振动分析程序，并与ANSYS软件计算结果进行了比较，最后对一座实际曲线梁桥进行了车桥耦合振动现场实测研究，并与本文开发的曲线梁桥车桥耦合振动程序计算结果进行比较，验证了本文开发程序的可靠性。 (5)分别考虑路面不平整度、曲率半径、车辆行驶偏心、桥梁结构阻尼比、桥梁跨数、主梁的支撑形式等参数，对公路曲线梁桥车桥耦合振动影响。
[Abstract]:In recent years, with the rapid development of transportation infrastructure in China, curved continuous beam bridges are widely used in highway cross-line intercommunication, long-span bridge approach bridge and urban interchange. Most of the curved girder bridges are prestressed concrete curved girder bridges. The static calculation theory of curved girder bridges has been basically improved after decades of development. However, the study of dynamic effect of curved continuous beam bridge is relatively weak. The determination of impact coefficient of automobile load of curved girder bridge in our country is still lack of relevant regulations. In engineering design, the method of determining impact coefficient of straight beam bridge can only be referred to. The study of vehicle-bridge coupling vibration of curved girder bridge is of great significance for the design of curved beam bridge. In this paper, the theory of vehicle-bridge coupling vibration of curved girder bridge is studied by numerical simulation. Furthermore, the program of vehicle-bridge coupling vibration of curved girder bridge is compiled by using MATLAB, and the vehicle-bridge coupling vibration is calculated for a highway curved girder bridge. Finally, the field measurement of vehicle-bridge coupling vibration of an actual curved beam bridge is carried out. The reliability of the program is verified by comparing with the calculation results of the curve beam bridge vehicle-bridge coupling vibration program developed in this paper. The main contents of this paper are as follows:. 1) on the basis of a brief review of the research status of vehicle-bridge coupling vibration at home and abroad, the research status of vehicle-bridge coupling vibration of curved girder bridge is summarized, and the main research content and technical route of this paper are given. In this paper, the basic theory of dynamic finite element analysis of curved beam bridges is discussed. The element mass matrix, stiffness matrix, damping matrix, load array and element motion equation are derived by using space beam element. The dynamic response of curved girder bridge is solved by Newmark- 尾, and the dynamic response of curved beam bridge is developed based on MATLAB platform. Based on the assumptions of rigid body dynamics and vehicle dynamics, the vehicle is discretized into spring element and mass element, and the motion equation of 3D vehicle model is derived. The inverse Fourier transform method is used to simulate the road roughness. The simulation program of road roughness is compiled, and the time history signal of road roughness corresponding to three kinds of road roughness specified in GB / T7031-86) is simulated, which lays a foundation for the further study of vehicle-bridge coupling vibration of curved girder bridge. 4) according to the basic theory of vehicle-bridge coupling vibration, Newmark- 尾 is used to solve the structural dynamic response. Based on MATLAB, the analysis program of vehicle-bridge coupling vibration of curved girder bridge is developed, and the calculation results are compared with those of ANSYS software. Finally, a real curved girder bridge is studied in the field of vehicle-bridge coupling vibration, and the results are compared with the calculation results developed in this paper, which verify the reliability of the program developed in this paper. The influence of road roughness, radius of curvature, vehicle eccentricity, damping ratio of bridge structure, number of bridge span and support form of main beam on vehicle-bridge coupling vibration is considered respectively.
【学位授予单位】：湖南大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U441.3

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