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THE MAGIC FORMULA TYRE MODEL
Abstract
An account is given of the latest version 3 of the Magic Formula tyre model. The model provides a set of mathematical formulae from which the forces and moment acting from road to tyre can be calculated at longitudinal, lateral and camber slip conditions, which may occur simultaneously. The model aims at an accurate description of measured steady-state tyre behaviour. The coefficients of the basic formula represent typifying quantities of the tyre characteristic. By selecting proper values, the characteristics for either side force, aligning torque or fore and aft force can be obtained. The new version of the model contains physically based formulations to avoid the introduction of correction factors. Double-sided, possibly non-symmetric pure slip curves are employed as the basis for combined slip calculations. Suggestions are given to estimate the driving part of the longitudinal slip curve and to represent the characteristic at rolling backwards.
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Citations
Cited by
Dual extended Kalman filter for vehicle state and parameter estimation
Wenzel, T. A., Burnham, K. J., Blundell, M. V., & Williams, R. A. (2006) · Vehicle System Dynamics · doi:10.1080/00423110500385949 · Cited by 406
Coordinated and Reconfigurable Vehicle Dynamics Control
Wang, J., & Longoria, R. G. (2009) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2008.2002264 · Cited by 286
Zhang, S., Luo, Y., Wang, J., Wang, X., & Li, K. (2017) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2017.2672542 · Cited by 106
Metadata
- Authors
- Pacejka, H. B., & Bakker, E.
- Venue
- Vehicle System Dynamics
- Publisher
- Informa UK Limited
- Published
- 1992-01
- Volume
- 21
- Issue
- sup001
- Pages
- 1-18
- ISSN
- 0042-3114 (ISSN-L)
- 1744-5159
- OpenAlex
- W2027758424
- Cited by
- 1,316
- References
- 0
- FWCI
- 14.47
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: THE MAGIC FORMULA TYRE MODEL. https://app.cochat.ai/papers/10.1080/00423119208969994
- The paper
- Pacejka, H. B., & Bakker, E. (1992). THE MAGIC FORMULA TYRE MODEL. Vehicle System Dynamics. https://doi.org/10.1080/00423119208969994
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
