Hands-free circular motions of a benchmark bicycle

DOI10.1098/rspa.2007.1849zbMath1173.70011OpenAlexW2163453725MaRDI QIDQ5438864

Pradipta Basu-Mandal, Anindya Chatterjee, Jim M. Papadopoulos

Publication date: 8 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.1849

zbMATH Keywords

stabilitylinearizationNewton-Euler equationsLagrange equations

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Stability problems in rigid body dynamics (70E50)

Related Items (8)

Non-smooth dynamic modeling and simulation of an unmanned bicycle on a curved pavement ⋮ State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches ⋮ Stability analysis of a waveboard multibody model with toroidal wheels ⋮ Nonlinear secondary whirl of an overhung rotor ⋮ Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review ⋮ Reduced dynamics of the non-holonomic whipple bicycle ⋮ Stability analysis for the Whipple bicycle dynamics ⋮ Symmetry and Relative Equilibria of a Bicycle System

Uses Software

• Maple
• Matlab

Cites Work

• A pulsating line source in the presence of a nearly circular cylinder submerged in deep water
• Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics
• Bicycle dynamics and control: adapted bicycles for education and research
• Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review

This page was built for publication: Hands-free circular motions of a benchmark bicycle