2011
DOI: 10.1007/s11044-011-9282-7
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A bicycle model for education in multibody dynamics and real-time interactive simulation

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Cited by 36 publications
(20 citation statements)
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“…Designing the bicycle for performance or rider comfort is a more complex task than designing for sufficient strength, since, the interaction between rider and bicycle is involved (Lessard et al, 1995;Chang, 2002). Qualitative judgments such as 'too springy' or 'too stiff' must be quantified in terms of frame stiffness (Escalona and Recuero, 2012).…”
Section: Methodsmentioning
confidence: 99%
“…Designing the bicycle for performance or rider comfort is a more complex task than designing for sufficient strength, since, the interaction between rider and bicycle is involved (Lessard et al, 1995;Chang, 2002). Qualitative judgments such as 'too springy' or 'too stiff' must be quantified in terms of frame stiffness (Escalona and Recuero, 2012).…”
Section: Methodsmentioning
confidence: 99%
“…As an example they demonstrated the stability analysis of an uncontrolled bicycle. Escalona and Recuero [76], for educational purposes, derived equations of motion for an uncontrolled bicycle in a differential-algebraic equation (DAE) form, transformed it to an ordinary differential equation (ODE) form and linearized these equations about a steady motion. As an example, the non-linear equations were implemented in Matlab-Simulink to make an interactive real-time bicycle simulator.…”
Section: Bicycle Dynamicsmentioning
confidence: 99%
“…The mass matrix consists of two submatrices, which are shown in Eq. (12) and rewritten as follows: The damping matrix consists of a speed-dependent term, as shown in Eq. (13):…”
Section: Appendixmentioning
confidence: 99%
“…The rear sideslip angle oscillates with the rear wobble frequency, and the front sideslip angle oscillates with the front wobble frequency.For comparison, the Dymola multibody software[12] is used to verify the linear model developed in this study. Given that Dymola version 7.4 does not have a tire model, the slip force model in Eqs (9).…”
mentioning
confidence: 99%