A variation method in simulation of the slow moving concentrated mass on truss structure

Abstract EN

A variation method for 0Tpotential and kinetic0T3T 0T3Tenergy0T3T 0T3Tof the beam system0T was presented to simulation and solve the problems of free and forced vibrations.

Rayleigh-Ritz method was used to solve the free vibration, while Newmark method was used to solve the forced vibration in the truss system, which has concentrated mass moves slowly on it, with a 0Tspeed0T less than the vibrated speed of the structure system elements.

The advantage of these methods is that the special approximating functions are added and used to solve the mathematical model of the beams system, which doesn't demand splitting of a beam into a large number of elements as is usual in finite elements analysis software .Every beam has considered as one element with two points, start and end point respectively, and in t0This situation0T2T 0T2Tallows for easy0T2T 0T2Tconnection between0T2T 0T2Tbeams0T 0Tand0T2T 0T2Tsatisfy the0T2T 0T2Tgeometric0T2T 0T2Tboundary conditions0T .

The finite elements analysis has used in the 0Tcomputational model0T analysis of the all system, which has programmed by a Fortran programming language, and the solution process and the results are given numerically.