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Encompassing the latest developments on tire mechanics, this definitive third edition combines theory, guidance, discussion and insight in one comprehensive reference. In this well-known resource, the author, leading tire model expert Hans Pacejka, explains the relationship between operational variables, vehicle variables and tire modeling, taking you on a journey through the effective modeling of complex tire and vehicle dynamics problems.

The influence of boundary conditions on the vibration transmission properties of tires is investigated in this paper. It is shown that these properties can be represented by a basic set of transfer functions of the free tire-wheel system. Using the modal synthesis method, the vibration transmission of tires subjected to various boundary conditions can be derived from this basic set of transfer functions.

The behaviour of the tyre plays an important role in controlling the horizontal motion of the vehicle. In vehicle dynamics studies, a good representation of tyre behaviour is therefore a necessity. A series of tyre measurements have been carried out on the road in stationary conditions. The data obtained have been represented by mathematical expressions on the basis of a formula. The coefficients in the formula represent some of the typifying quantities of the tyre and the formula is capable of describing all characteristics of side force, brake force and self aligning torque with great accuracy. The behaviour of the tyre during combined cornering and braking has successfully been described by a model which makes use of the obtained mathematical expressions and some tyre-modelling theory. The side force characteristic governs the behaviour in lateral direction and the brake force characteristic in longitudinal direction.

A new way of representing tyre data obtained from measurements in pure cornering and pure braking conditions has been developed in order to further improve the Dynamic Safety of vehicles. The method makes use of a formula with coefficients which describe some of the typifying quantities of a tyre, such as slip stiffnesses at zero slip and force and torque peak values. The formula is capable of describing the characteristics of side force, brake force and self aligning torque with great accuracy. This mathematical representation is limited to steady-state conditions during either pure cornering or pure braking and forms the basis for a model describing tyre behaviour during combined braking and cornering.