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

Mouad Garziad (), Abdelmjid Saka, Hassane Moustabchir and Maria Luminita Scutaru ()
Additional contact information
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

Mathematics, 2024, vol. 12, issue 9, 1-17

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.

Keywords: motorcycle dynamics; vertical dynamics; symbolic computing; simulation; graph theory; tire; suspension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/9/1390/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/9/1390/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:9:p:1390-:d:1387716

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().