On the wobble mode of a bicycle

Plöchl, Manfred; Edelmann, Johannes; Angrosch, Bernhard; Ott, Christoph

doi:10.1080/00423114.2011.594164

Cited by 33 publications

(49 citation statements)

References 6 publications

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“…Plo¨chl et al 10 reported this as well. Cossalter et al 28 reported a high influence of the cornering stiffness for high speeds of racing motorcycles.…”

Section: Discussionsupporting

confidence: 53%

“…Notable is that he did not incorporate the twisting torque into the tyre model. In return, Plo¨chl et al 10 and Klinger et al 13 did include the twisting torque and found a significant effect of their tyre model on the capsize and weave mode. In agreement with the results presented in this article, they found that the capsize mode becomes stable and the weave mode significantly destabilizes by implementing the realistic tyre model.…”

Section: Discussionmentioning

confidence: 99%

“…Adding the rider's dynamics changes the properties of the system significantly, and modelling of tyre properties could become even more important. 6 Recently, Plo¨chl et al 10 gave details of a linear tyre model that includes self-aligning and twisting torques. The results showed a significant effect of tyre and rider properties on the stability of the wobble mode.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The effect of tyre and rider properties on the stability of a bicycle

Bulsink

Doria

Belt

et al. 2015

Advances in Mechanical Engineering

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To work towards an advanced model of the bicycle-rider-environment system, an open-loop bicycle-rider model was developed in the commercial multibody dynamics software ADAMS. The main contribution of this article to bicycle dynamics is the analysis of tyre and rider properties that influence bicycle stability. A system identification method is used to extract linear stability properties from time domain analysis. The weave and capsize eigenmodes of the bicycle-rider system are analysed. The effect of tyre properties is studied using the tyre's forces and torques that have been measured in several operating conditions. The main result is that extending simplified models with a realistic tyre model leads to a notable decrease in the weave stability and a stabilization of the capsize mode. This effect is mainly caused by the twisting torque. Different tyres and tyre inflation pressures have little effect on the bicycle's stability, in the case of riding straight at a constant forward speed. On the other hand, the tyre load does have a large effect on bicycle stability. The sensitivity study of rider properties shows that body stiffness and damping have a small effect on the weave and capsize mode, whereas arm stiffness destabilizes the capsize mode and arm damping destabilizes the weave mode.

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“…Plo¨chl et al 10 reported this as well. Cossalter et al 28 reported a high influence of the cornering stiffness for high speeds of racing motorcycles.…”

Section: Discussionsupporting

confidence: 53%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The effect of tyre and rider properties on the stability of a bicycle

Bulsink

Doria

Belt

et al. 2015

Advances in Mechanical Engineering

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“…The representation of the dynamics of the bicycle-rider system applied in this paper for numerical simulation is basically the bicycle-rider model derived by Plöchl et al (2012), see Figure 1. Besides the mass of the rider's upper torso m r , the model consists of the masses of the mainframe m m , including the lower part of the rider and…”

Section: Bicycle-rider Modelmentioning

confidence: 99%

Bicycle Rider Control Modelling for Path Tracking

2015

Self Cite

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Rider models are employed to gain insight into bicycle rider steering behaviour and to improve characteristic properties of bicycles. In this paper, stability properties as well as basic dynamic characteristics of the passive (uncontrolled) bicycle-rider system and consequences on the rider control modelling are addressed. In particular, the unstable motion of the system at low velocities and bandwidth limitations caused by non-minimum phase dynamics are emphasized. To analyse the effectiveness of the steering torque and the lean torque as possible rider's inputs to control the dynamics of the bicycle, a controllability analysis of the bicycle-rider system has been performed. It turns out that lean torque input, in contrast to steering torque input, has marginal impact on the dynamics of the system. Finally, a bicycle rider control model considering human rider properties is presented, and its capabilities are demonstrated by performing a curve entering manoeuvre.

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“…Meijaard et al [5] reviewed bicycle dynamics, compared the equations of motion proposed in early works, and presented a benchmark model. Plochl et al [6] conducted a theoretical and experimental study on the wobble mode of a bicycle. Dynamic analyses of bicycles and motorcycles based on linear and nonlinear models that consider various tire forces, driving forces, and flexibility have been published [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Influence of tire side forces on bicycle self-stability

Souh

2015

J Mech Sci Technol

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Lateral forces are known to be important in motorcycle stability. These forces also affect the stability of bicycles. In this study, we focus on the influence of tire lateral forces on bicycle self-stability. On the basis of the work of Whipple, we develop a linear bicycle model, including front and rear wheel lateral forces, in symbolic equations of motion. Modal analysis and dynamic simulation of the bicycle model are conducted and used to examine self-stability. The lateral stability of a bicycle is characterized by two oscillatory vibration modes, namely, wobble and weave, and one non-oscillatory capsize mode. Tire sideslip force modeling reveals the wobble mode, and relaxation modeling reveals the rear wobble mode. At low speed, the unstable capsize mode dominates. At medium speed, the weave mode vibratory motion dominates. At high speed, the wobble mode dominates. The influence of lateral forces on self-stability is identified using the developed model. A nonlinear multibody bicycle model is used to confirm the results of the linear analysis.

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On the wobble mode of a bicycle

Cited by 33 publications

References 6 publications

The effect of tyre and rider properties on the stability of a bicycle

The effect of tyre and rider properties on the stability of a bicycle

Bicycle Rider Control Modelling for Path Tracking

Influence of tire side forces on bicycle self-stability

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