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  2. Hans B. Pacejka - Wikipedia

    en.wikipedia.org/wiki/Hans_B._Pacejka

    The slipping velocity (difference between the velocity of the car and the velocity of the tire in the contact point) will change very quickly and the model becomes a stiff system (a system whose eigenvalues differ a lot), which may require a special solver. The general form of the Magic Formula, given by Pacejka, is: [8]

  3. Tire model - Wikipedia

    en.wikipedia.org/wiki/Tire_model

    Tire model. Example of the slip angle curve obtained from a Pacejka Magic Formula empirical tire model. In vehicle dynamics, a tire model is a type of multibody simulation used to simulate the behavior of tires. In current vehicle simulator models, the tire model is the weakest and most difficult part to simulate. [1][2]

  4. Vehicle dynamics - Wikipedia

    en.wikipedia.org/wiki/Vehicle_dynamics

    In current vehicle simulator models, the tire model is the weakest and most difficult part to simulate. [2] The tire model must produce realistic shear forces during braking, acceleration, cornering, and combinations, on a range of surface conditions. Many models are in use. Most are semi-empirical, such as the Pacejka Magic Formula model.

  5. The Magic Formula for Auto Components - AOL

    www.aol.com/2011/12/12/the-magic-formula-for...

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  6. Tire load sensitivity - Wikipedia

    en.wikipedia.org/wiki/Tire_load_sensitivity

    Tire load sensitivity. Tire load sensitivity describes the behaviour of tires under load. Conventional pneumatic tires do not behave as classical friction theory would suggest. . The load sensitivity of most real tires in their typical operating range is such that the coefficient of friction decreases as the vertical load, Fz, increas

  7. Self aligning torque - Wikipedia

    en.wikipedia.org/wiki/Self_aligning_torque

    Self aligning torque (SAT), also known as aligning torque or aligning moment (Mz, moment about the z direction), is the torque that a tire creates as it rolls along, which tends to steer it, i.e. rotate it around its vertical axis. In the presence of a non-zero slip angle, this torque tends to steer the tire toward the direction in which it is ...

  8. Relaxation length - Wikipedia

    en.wikipedia.org/wiki/Relaxation_length

    The results from three separate test runs are superimposed. Relaxation length is a property of pneumatic tires that describes the delay between when a slip angle is introduced and when the cornering force reaches its steady-state value. [1] It is also described as the distance that a tire rolls before the lateral force builds up to 63% of its ...

  9. Formula One tyres - Wikipedia

    en.wikipedia.org/wiki/Formula_One_tyres

    Formula One. The 2023 Pirelli tyres include (from left to right) the three slicks – called the softs, mediums, and hards – intermediates, and full wets. Formula One tyres are specialised racing tyres designed for use on a Formula One car. These tyres play a crucial role in the car's performance, affecting grip, handling, and overall speed.

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