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Vibration Analysis of the Bicycle-Car Model Considering Tire-Road Separation
Abstract:
This article investigates the dynamics of non-smooth and nonlinear oscillations
of a bicycle-car model, considering the tire-road separation. Road contact
applies a non-holonomic constrain on the dynamics system that makes the
equations of motion to be different under in-contact and off-contact conditions.
The set of nonlinear equations of the system has been formulated based on
nondimensionalization to minimize the number of parameters and generalize the
results. To compare the quality of different suspensions in reducing the
unpleasant no-contact conditions, we define a contact-free fraction indicator to
measure the separation fraction time during a cycle of steady-state oscillation.
An observation of frequency responses including vertical displacements, the
pitch mode, and the domain of contact-free fraction of time has been
investigated to clarify engineering design directions. The separating boundaries
have also been identified utilizing implicit function for in-contact dynamics
and sensitivity of the separation condition to various dynamics system
parameters are simulated and explained. The separation dynamics are numerically
solved to determine which values of suspension structures can postpone the
occurrence of tire-road separation or the contactless process, which leads to
eradicating the potentially undesirable vibration and improving the efficiency
of suspension quality.