Application Of Ordinary Differential Equation Method In Calculation Of The Influence Line Of Structure

Along with the rapid development of computer industry and transportationindustry, the new method is more and more extended and popularized, the liveload problem by using the calculation method of the effect of line to solve thebridge calculation is a persistent and widely used method.According to the ideasto solve structural mechanics, there are two method of static method anddynamic method have been used in solving the problem of influence line, thesemethod are simple and easy to understand, but in the calculation of complexstructure and computer combination has some difficulties, this paper is using thekinematic method solving methods will affect the line force solution structure ofthe problem to solve the structure of the deflection curve in the forceddisplacement of the problem.This paper elaborated ideas combines the advantages of convenient to solvedynamic methods and the advantages of MAPLE powerful for solvingdifferential equations, the computer program successfully implanted theinfluence line solution of the problem, after the success in the preparationprogram only need to input variables can be obtained by simple line graphics andnumerical accuracy.In structural mechanics, as a system of ordinary differential equations in thecase of artificial calculation process of solving complex problems, it has not beenvery good promotion and popularization of the MAPLE software, but it cansolve these seemingly complex ordinary differential equations, the combinationof these ideas and the software makes very suitable for contemporary society forengineering calculation fast and accurate requirements. The method will bedescribed later in the paper, in this paper introduced, this method has beensuccessfully applied to the static structure and relatively simple hyperstatic structure, can be used to solve the bending moment, shear force and supportreaction force line, results after the ratio is accurate and reasonable requirementsthe.For the specific structure of the process and the impact of the ideologicalbasis for line in detail and explain profound theories in simple languagedescription, provides a new direction for solving the structure influence linemethod, can be in later practice for the promotion of the method providesscientific reference.