642 Stability Analysis of a Steady-State Vibration Generated in a Large-Scale Nonlinear System : Part 1, Suggestion of a Method Using Approximate State Transition Matrix

Abstract

In order to analyze very accurately and efficiently the stability of a steady-state vibration generated in a large-scale nonlinear system, the authors develop a method that uses reduction model. The reduction model is derived by extracting the dominant modes for the stability of solution and by applying the concept of modal analysis to variational equation. The dominant modes are selected from approximate state transition matrix. In addition, the stability is determined by obtaining the characteristic multipliers from the approximate state transition matrix. The validity of the present method is confirmed by the numerical computational result.