Bicycles, motorcycles, and models

Limebeer, D.J.N.; Sharp, R. D.

doi:10.1109/mcs.2006.1700044

Cited by 137 publications

(16 citation statements)

References 48 publications

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“…Front-assembly stiffness k β (Nm rad −1 ) 2800 Front-assembly damping c β (Nm s rad −1 ) 25 Height of front-assembly twist axis h W (m) 0.44 Cornering stiffness C F α (-) 12.7 Camber stiffness C F γ (-) 1.15 Self-aligning stiffness C Mα (m) 0.31 Twisting stiffness C Mγ (m) 0.052 Overturning stiffness C Mx (m) 0.015 Relaxation length due to sideslip σ α (m) 0.075 Relaxation length due to camber σ γ (m) 0.0075 mass properties. A set of 25 geometric and mass properties is needed to describe this bicycle model (Meijaard et al, 2007). Actually, some of these parameters cannot be affected by the designer, e.g.…”

Section: Parameter Valuementioning

confidence: 99%

“…In all the previous models the rider with the hands-off the handlebar is simulated assuming the center of mass and inertia properties as in Meijaard et al (2007). The model developed in Klinger et al (2014) makes it possible to simulate bicycle dynamics considering the rider with the hands-on the handlebar as well.…”

Section: Parameter Valuementioning

confidence: 99%

“…Stability of bicycles and powered-two-wheeled vehicles usually is analyzed by plotting the real and imaginary parts of the eigenvalues against forward speed (Meijaard et al, 2007). This research focuses on the stability of city bicycles and the nominal geometric and mass properties of the reference bicycle are set equal to the ones of the benchmark bicycle defined in (Meijaard et al, 2007). Figures 2-5 represent the eigenvalue plots of the bicycle with the reference parameters of Tables 1 and 2 that are obtained carrying out stability analysis by means of the four models here considered.…”

Section: Stability Indicesmentioning

confidence: 99%

“…This model makes it possible to conduct open loop analysis with the rider hands-off the handlebar. Many authors have analyzed bicycle stability using the WCBM (Limebeer and Sharp, 2006;Meijaard et al, 2007;Schwab et al, 2007;Sharp, 2008) by solving the eigenvalue problem in order to analyze the modes of vibration of the system.…”

Section: Introductionmentioning

confidence: 99%

“…Some researchers have extended the WCBM in order to include compliance of the front assembly (CFA). This compliance commonly includes the effects of the frame head tube, the fork, and the wheel Klinger et al, 2014;Limebeer and Sharp, 2006;Plöchl et al, 2012;Sharp, 2008). These models add an additional velocity degree of freedom to the WCBM in order to take into account the lateral velocity of the front-assembly due to compliance.…”

Section: Introductionmentioning

confidence: 99%

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Stability analysis of bicycles by means of analytical models with increasing complexity

2019

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Abstract. The basic Whipple-Carvallo bicycle model for the study of stability takes into account only geometric and mass properties. Analytical bicycle models of increasing complexity are now available, they consider frame compliance, tire properties, and rider posture. From the point of view of the designer, it is important to know if geometric and mass properties affect the stability of an actual bicycle as they affect the stability of a simple bicycle model. This paper addresses this problem in a numeric way by evaluating stability indices from the real parts of the eigenvalues of the bicycle's modes (i.e., weave, capsize, wobble) in a range of forward speeds typical of city bicycles. The sensitivity indices and correlation coefficients between the main geometric and mass properties of the bicycle and the stability indices are calculated by means of bicycle models of increasing complexity. Results show that the simpler models correctly predict the effect of most of geometric and mass properties on the stability of the single modes of the bicycle. Nevertheless, when the global stability indices of the bicycle are considered, often the simpler models fail their prediction. This phenomenon takes place because with the basic model some design parameters have opposite effects on the stability of weave and capsize, but, when tire sliding is included, the capsize mode is always stable and low speed stability is chiefly determined by weave stability.

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Section: Parameter Valuementioning

confidence: 99%

Section: Parameter Valuementioning

confidence: 99%