Limit Cycle Hunting of a Bogie with Flanged Wheels

When the equivalent linearization method is used to analyze limit cycle hunting of a bogie with more than one nonlinearity, the difficulty of incompatibility between the input amplitudes used to calculate the equivalent properties of nonlinearities and the corresponding output deflections arises. It is the aim of the present paper to develop a method based on optimization theory to solve the incompatibility. The heuristic analysis scheme of flutter system with one nonlinearity16] is developed to analyze the stability of limit cycle hunting of a bogie. The results of numerical integration sufficiently support the analytical method developed in this paper.