The Magic Formula Tyre Model is a semi-empirical tyre model which describes tyre behavior quite accurately. For that purpose mathematical models of the tyre are being used in vehicle simulation models. Knowledge of tyre properties is necessary to properly design vehicle components and advance control system. A relatively simple model for longitudinal and lateral transient responses.read more read lessĪbstract: SUMMARY Tyre behavior plays an important role in vehicle dynamics research. The non-steady state behaviour of the tyre is of importance in rapid transient maneuvres, when cornering on uneven roads and for the analysis of oscillatory braking and steering properties. A full set of equations of the steady-state part of the model of the new version ‘Delft Tyre 97’ is presented. Following Michelin, weighting functions have been introduced to model the combined slip force generation. This facilitates its combined slip description. The aligning torque description is based on the concepts of pneumatic trail and residual torque. The steady-state empirical ‘Magic Formula tyre model’ is discussed. For this purpose, mathematical models of the tyre are being used in vehicle simulation models. Knowledge of tyre properties is necessary to properly design vehicle components and advanced control systems. Abstract: The tyre force and moment generating properties connected with the vehicle's horizontal motions are considered.
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