Hunting Stability Analysis Using Periodic Solution Calculation Method

(Consideration of Vibration Modes)

Abstract

Hunting oscillation, a type of self-excited oscillation, is unfavorable due to its negative affect on both running stability and ride comfort. Hunting occurs at a certain speed even without any external disturbance. However, even below the hunting speed, hunting can occur when disturbance is input. The former study showed that there exists a clear point where initial lateral displacement of the wheelset causes hunting oscillation, and the point originates from unstable limit cycle. And it was also revealed that the limit cycle in question can be calculated by shooting method. Meanwhile, there could exist another type of steady state oscillation of which mode is different from the hunting oscillation observed on the previous study. Therefore, the author tried to apply the shooting method to calculate that type of steady state oscillation. This paper reports summary of the periodic solution calculated using the method and verifies the results by comparing them to the measured value. And it also discusses the relationship between the periodic solution and eigenvalue.