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A New Approach for Modeling Vertical Dynamics of Motorcycles Based on Graph Theory

Author

Listed:
  • Mouad Garziad

    (Mechanical Engineering Laboratory, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, B.P. 2202 Route d’Imouzzer, Fez 30000, Morocco)

  • Abdelmjid Saka

    (Laboratory of Science Engineering and Applications, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72 Route d’Imouzzer, Fez 30000, Morocco)

  • Hassane Moustabchir

    (Laboratory of Science Engineering and Applications, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72 Route d’Imouzzer, Fez 30000, Morocco)

  • Maria Luminita Scutaru

    (Department of Mechanical Engineering, Transilvania University of Brașov, 500036 Brașov, Romania)

Abstract

The main objective of this research is to establish a new formulation and mathematical model based on graph theory to create dynamic equations and provide clarity on the fundamental formulation. We have employed graph theory as a new approach to develop a new representation and formulate the vertical dynamics of a motorcycle with four degrees of freedom, including a suspension and tire model. We have outlined the principal procedural steps required to generate the mathematical and dynamic equations. This systematic approach ensures clarity and precision in our formulation process and representation. Subsequently, we implemented the dynamics equations to examine the dynamic behavior of both the sprung and unsprung masses’ vertical displacements, while considering the varying conditions of the road profile.

Suggested Citation

  • Mouad Garziad & Abdelmjid Saka & Hassane Moustabchir & Maria Luminita Scutaru, 2024. "A New Approach for Modeling Vertical Dynamics of Motorcycles Based on Graph Theory," Mathematics, MDPI, vol. 12(9), pages 1-17, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1390-:d:1387716
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    References listed on IDEAS

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    1. John McPhee & Chad Schmitke & Scott Redmond, 2004. "Dynamic Modelling of Mechatronic Multibody Systems With Symbolic Computing and Linear Graph Theory," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 10(1), pages 1-23, March.
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