Hands-free circular motions of a benchmark bicycle

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 463, Issue 2084, 2007, Pages 1983-2003

  Basu Mandal, Pradipta ^a   Chatterjee, Anindya ^a   Papadopoulos, J M ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b NONE   (United States)

Author keywords

Bicycle dynamics; Circular motions; Stability

Indexed keywords

EID: 36349001832     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.1849     Document Type: Article

References (14)

1. Aström, K. J., Klein, R. E. & Lennartsson, A. 2005 Bicycle dynamics and control: adapted bicycles for education and research. IEEE Control Syst. Mag. 25, 26-47. (doi:10.1109/MCS.2005.1499389)
2. Basu-Mandal, P. In preparation. PhD thesis, Indian Institute of Science.
3. Collins, R. N. 1963 A mathematical analysis of the stability of two-wheeled vehicles. PhD thesis, Department of Mechanical Engineering, University of Wisconsin.
4. Cossalter, V. & Lot, R. 2002 A motorcycle multi-body model for real time simulations based on the natural coordinates approach. Vehicle Syst. Dyn. 37, 423-447. (doi:10.1076/vesd.37.6.423.3523)
5. Cossalter, V., Doria, A. & Lot, R. 1999 Steady turning of two-wheeled vehicles. Vehicle Syst. Dyn. 31, 157-181. (doi:10.1076/vesd.31.3. 157.2013)
6. Franke, G., Suhr, W. & Rieß, F. 1990 An advanced model of bicycle dynamics. Eur. J. Phys. 11, 116-121. (doi:10.1088/0143- 0807/11/2/010)
7. Kane, T. R. 1977 Steady turning of single-track vehicles. Paper 770057, Society of Automotive Engineers, International Automotive Engineering Congress and Exposition, Detroit.
8. Lennartsson, A. 1999 Efficient multibody dynamics. PhD thesis, Royal Institute of Technology, Stockholm.
9. Man, G. K. & Kane, T. R. 1979 Steady turning of two-wheeled vehicles, SAE paper 790187. In Proc. Dynamics of Wheeled Recreational Vehicles, Detroit, February-March 1979, pp. 55-75.
10. Meijaard, J. P. & Popov, A. A. 2006 Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics. Nonlin. Dyn. 43, 97-116. (doi:10.1007/s11071-006-0753-y)
11. Meijaard, J. P., Papadopoulos, J. M., Ruina, A. & Schwab, A. L. 2007 Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review. Proc. R. Soc. A 463, 1955-1982. (doi:10.1098/rspa.2007.1857)
12. Psiaki, M. L. 1979 Bicycle stability: a mathematical and numerical analysis. Undergraduate thesis, Physics Department, Princeton University, NJ.
13. Roland, R. D. 1973 Computer simulation of bicycle dynamics. In Mechanics and sport (ed. J. L. Bleustein), pp. 35-83. New York, NY: American Society of Mechanical Engineers.
14. Whipple, F. J. W. 1899 The stability of the motion of a bicycle. Q. J. Pure Appl. Math. 30, 312-348. (http://ruina.tam.cornell.edu/ research/)