Stability of a Railway Vehicle with Bouncing and Pitching Motions on a Multispan Simply Supported Girder System : 1st Report : Boundary Frequency Equations of Unstable Regions for Simple Parametric Resonance

Dynamic analysis of a railway vehicle traveling on a multispan simply supported guideway have been carried out to date as a dynamic problem of a vehicle moving on the rigid guideway with irregularity of multi-half sine wave. Dynamic stability of a railway vehicle on the flexible guideway has to be analyzed as a coupled system consisted of the vihicle and flexible guideway. In this paper, a multispan simply supported guideway is idealized to a circulated guideway system with two or three spans. Consequently, it was found that the perturbation equation of above system is Hill's equation and the boundary frequency equations of simple parametric resonance were obtained by Bolotin's method.