Analysis Methods for the Motion and Vibration of a Moving Body on the Complicated 3D Trajectory

Abstract

We investigate the motion and vibration of a moving body on a complicated 3 dimensional trajectory. We take a roller coaster as a model of a moving body. Equations of its motion and conditions of constraints are set up for using the differential-algebraic equation (DAE). In our previous reports, we showed the simulation method by using the s-u-z coordinate. Let us call it the s-u-z simulation method. s-axis is the direction of a length of trajectory which is tangential line for the projected trajectory on coordinate x-y. In this paper, we examine the simulation method by using the global coordinate x-y-z. Let us call it the x-y-z simulation method. In the process of the simulation, we apply the stablization method by Baumgarte to the both of simulation methods. It is found that the x-y-z simulation method is more complicated than the s-u-z simulation method so that it is more difficult to stablize the simulated trajectory in the x-y-z simulation method. Lastly, we compare these response accelerations in each simulation method with those in experiment.