Non-singular slip (NSS) method for longitudinal tire force calculations in a sudden braking simulation |
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Authors: | J H Lee W S Yoo |
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Institution: | 1.Mechanical Engineering,Pusan National University,Busan,Korea |
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Abstract: | In a dynamic vehicle simulation, longitudinal tire force is primarily based on the longitudinal slip (ratio). In the longitudinal
slip formula, state variables are used in the denominator. This causes a divergence problem for numerical simulations of vehicle
dynamics. To avoid this numerical singularity, a differential slip calculation method was developed for use in dynamic vehicle
simulations. However, this method also causes a singularity when the wheel velocity approaches zero in a pure slip state,
such as during sudden braking. In this paper, a new longitudinal slip calculation method, which can overcome singularities
in all velocity conditions, is proposed. For this purpose, the Taylor series is adapted to the slip formula and the idea of
virtual wheel rotation stiffness is introduced for the development of the slip equation. The physical phenomenon at the zero
slip state is analyzed. Finally, the proposed slip formula is used to solve the numerical singularity problem, and the non-singular
slip (NSS) calculation method is proposed. The proposed NSS method is applied to tire model performance test (TMPT) simulations
to validate its performance. |
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Keywords: | |
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