Methods of Simulation Investigations of Non-linear Vibrations in the Steering System of a Motorcycle

The paper presents special methods of modeling and simulation based sensitivity analysis of torsional vibrations in the motorcycle steering system. The vibrations generated in the motorcycle steering system in the presence of freeplay and friction phenomena have a strong non-linear nature because of stick-slip processes. Due to the threshold character of these nonlinearities and the variability of the model structure, simulation-type investigations of such vibrations are difficult and still require extensive research. For solution these difficult problems, special methods of modeling and special methods of simulation analysis have been applied. The luz(…) and tar(…) projections with their original mathematical apparatus give new facilities for modeling and analysis strong non-linear vibrations. Among other, they can be used for synthesis substitutive formulas expressing time lag phenomena in such systems, they are very useful also when the model of the system is reduced parametrically. Application of Lissajou portraits and Poincare maps seems to be attractive methods not only for visualization of the non-linear vibrations, but also effective methods for analysis these spectacular signals what has been done in a simulation software.