A VARIATION METHOD IN SIMULATION OF THE SLOW MOVING CONCENTRATED MASS ON TRUSS STRUCTURE | ||
| Iraqi journal of mechanical and material engineering | ||
| Article 1, Volume 15, Issue 1, March 2015, Pages 1-11 | ||
| Authors | ||
| Dr.Enaam Obeid Hassoun; Dr.Hussain Abdulaziz Abrahem | ||
| Abstract | ||
| A variation method for potential and kinetic energy of the beam system 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 speed 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 this situation allows for easy connection between beams and satisfy the geometric boundary conditions . The finite elements analysis has used in the computational model analysis of the all system, which has programmed by a Fortran programming language, and the solution process and the results are given numerically. | ||
| Keywords | ||
| Finite elements; Variation Method; vibration; slow moving load; truss structure | ||
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