Linear and Non-Linear Stability Analysis of a Constrained Railway Wheelaxle
Rakesh Chandmal Sharma, Mohd Avesh, Sunil Kumar Sharma, Sakshi Sharma, Srihari Palli, Neeraj Sharma
Abstract
Railway wheel axle experiences the problem of hunting above a critical velocity, which is a kind of self-excited oscillation. This paper investigates the linear and non-linear stability analysis of wheel axle constrained within a fixed bogie frame. From the linear analysis the critical velocity of the system with the existing parameters is found to be 268 km/hr. The influence of different parameters on stability of the system is further investigated in present study. Nonlinear analysis provides additional information compared with linear systems. Nonlinear analysis provides several stable solutions with a single set of parameters and each stable solution is function of the initial conditions. Using domains for initial conditions i.e. domains for attraction, chances for existence for stable solutions is determined. Present nonlinear analysis indicates that for vehicle velocity range from the critical velocity 366 km/hr to 392 km/hr, two stable solutions coexist i.e. the trivial solution with limit cycle solution and for the range of velocities beyond 392 km/hr one stable solution exist.