Axle Coupling Analysis Of Prestressed Simply Supported Beam

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.