【作者】 陈安松；

【导师】 郭学东；

【作者基本信息】 吉林大学 ， 道路与铁道工程， 2012， 硕士

【摘要】 车桥耦合理论主要研究的是非预应力简支梁在车辆荷载作用下梁的振动响应，而对于生活中常见的预应力梁车桥耦合振动研究的却很少，因此本文在前人所做工作的基础上推导了预应力梁的车桥耦合振动微分方程并对其进行求解。全文结构和主要内容大致如下：第一章介绍了预应力简支梁车桥耦合分析的选题背景和国内外研究现状。第二章分两节分别介绍了常见的桥梁和车辆计算模型，然后通过位移协调条件和作用力平衡关系将两个模型组合起来建立匀速滚动质量车桥耦合模型及其振动微分方程。第三章介绍RKF法和Newmark法求解二阶振动微分方程的基本原理和计算步骤，然后以MATLAB为计算平台比较了这两种方法对同一非预应力T形梁耦合振动微分方程进行数值迭代的计算误差；第四章是本文的主要内容。本章以预应力梁和非预应力梁在理论计算方面的相似为前提条件，在前面介绍的非预应力T形梁耦合振动微分方程的基础上推导了预应力T形梁的耦合振动微分方程，并通过RKF法分析比较了不同速度和预应力条件下梁跨中挠度、速度的变化规律同时还对加速度的频谱进行了分析。第五章是本文的结尾，主要是全文主要结论的总结和对后期工作展望。更多还原

【Abstract】 Vehicle-bridge coupling theory is mainly concerning the vibration response ofnon-prestressed simply supported beam but rarely on prestressed simply supported beam sovibration differential equation of it will be checked and solved in the previous work done byothers. The full text structure and main content are as follows:Chapter I introduces the research background and research status of axle coupling ofprestressed simply supported beam.Chapter II introduces several common bridge and vehicle computing model in two sectionindividually and then to establish the quality of the uniform rolling axle coupled model and itsvibration differential equation through displacement compatibility conditions and force balancebetween the two models combined.Chapter III is devoted to basic principles and calculation steps of RKF method andNewmark method for solving second-order vibration differential equation of, also comparingthese two iteration methods on the same vibration coupled differential equations of the samemodel of T-shaped, non-prestressed beam on the computing platform of MATLAB and thencompares the calculation error of each;Chapter IV is the main content of this article. We get the coupling vibration differentialequation of prestressed T-beam from non-prestressed T-beam mentioned above on theprecondition of the similar of the theoretical calculations of them. At the end of this chapteranalysis and comparison of variations of the deflection and speed and spectrum analysis ofacceleration at the middle span of the beam in different speeds and prestressed conditions willbe made by RKF method.Chapter V is the final chapter of this article. It is the summary of this paper and outlookfollowing up.更多还原