Analysis on Out-of-Plane Parametric Vibration Stability of Ring-Shaped Periodic Structures

This work aims at the out-of-plane parametric elastic vibration of intensively-used ring-shaped periodic structures subjected to moving loads in engineering field. A time-invariant dynamic model was established by using Hamilton principle under the load-fixed coordinates. A set of ordinary differential equations were formulated by Galerkin method. The modal characteristics and the dynamic instability were identified by means of eigenvalue. For the purpose of verification, the model was equivalently transformed into a time-variant version under the inertial frame by introducing a transformation, and the unstable regions were calculated by Floquét theory. The research provides an efficient way to solve the problem of parametric vibration induced by moving loads. © 2018, Editorial Board of Journal of Tianjin University(Science and Technology). All right reserved.