Abstract
This paper presents a detailed study of the kinematics of single-track vehicles, with a special emphasis on motorcycles. We consider a general class of tyre profiles as well as general vehicle geometry. We show that the kinematic problem may be reduced to the problem of finding the zero of a (single) nonlinear equation in the pitch angle which may then be solved using a safeguarded Newton method, providing rapid convergence. Special care, enabled by the systematic use of rotation matrices, is taken to understand the range of pitch angles for which all quantities in the equation are well defined. The paper provides a fast and numerically reliable algorithm that can be used within analysis tools such as those involving numerical integration of system dynamics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
