Assessing slip of a rolling disc and the implementation of a tyre model in the benchmark bicycle.

For a motorcycle simulator the development of a real time bicycle/motorcycle model with a compact formulation of the dynamic behaviour is required. The modelling environment MatLab SimMechanics was posed as a prerequisite. No suitable tyre model is available in the library of this software, the tyre model has been developed using linear tyre slip characteristics, and point contact of knife-edged wheels with the ground. The simulation in simmechanics of a single wheel with this tyre model stresses the importance of the propagation speed of the tyre contact point. Two wheels have been assembled with two frame bodies to build the Wipple bicycle in SimMechanics. The simulation model has been validated against the bicycle benchmark using eigenvalue analysis. The eigenvalues of SimMechanics model were obtained from curve fitting a (complex-) exponential function to a time response from simulation. The match is remarkable despite of the tyre models included in the simulation model. (Author/publisher) For this paper, other papers and posters presented at this Symposium see http://bicycle.tudelft.nl/bmd2010/