What question did this study set out to answer?

To derive the nonlinear rolling resistance on an inclined viscous surface and evaluate the stability of cylinder motion under drag and stochastic noise.

June 10, 2005Open Access

Rolling friction and bistability of rolling motion

View Full Paper

Ask AI

Bookmark

Authors

TPThorsten PoeschelFriedrich-Alexander-Universität Erlangen-Nürnberg TSThomas SchwagerCal Poly Humboldt NBNikolai V. BrilliantovSkolkovo Institute of Science and Technology

Discussion

Member takes

Implication

Physical modeling demonstrates bistable rolling motion of cylinders on inclined viscous surfaces, suggesting noise-induced shifts in average rolling velocity.

Key Points

To derive the nonlinear rolling resistance on an inclined viscous surface and evaluate the stability of cylinder motion under drag and stochastic noise.
Formulated the nonlinear resistance force against rolling as a function of cylinder velocity, material deformation rate, and contact area.
Incorporated viscous drag and stochastic fluctuations from the surrounding ambient medium into the dynamic equations of motion.
Rolling resistance increases at low velocities due to higher surface deformation rates, but decreases at higher velocities due to reduced contact area.
The rolling cylinder exhibits bistability across a broad parameter range, with ambient noise driving increases or decreases in average velocity depending on material properties.

Cite This Study

Poeschel et al. (2005) studied this question.

synapsesocial.com/papers/6a91610180800acc723402aa https://doi.org/10.48550/arxiv.cond-mat/0506255

View Full Paper

Ask AI

Bookmark

June 10, 2005Open Access

Rolling friction and bistability of rolling motion

View Full Paper

Ask AI

Bookmark

Authors

TPThorsten PoeschelFriedrich-Alexander-Universität Erlangen-Nürnberg TSThomas SchwagerCal Poly Humboldt NBNikolai V. BrilliantovSkolkovo Institute of Science and Technology

Discussion

Member takes

Implication

Physical modeling demonstrates bistable rolling motion of cylinders on inclined viscous surfaces, suggesting noise-induced shifts in average rolling velocity.

Key Points

To derive the nonlinear rolling resistance on an inclined viscous surface and evaluate the stability of cylinder motion under drag and stochastic noise.
Formulated the nonlinear resistance force against rolling as a function of cylinder velocity, material deformation rate, and contact area.
Incorporated viscous drag and stochastic fluctuations from the surrounding ambient medium into the dynamic equations of motion.
Rolling resistance increases at low velocities due to higher surface deformation rates, but decreases at higher velocities due to reduced contact area.
The rolling cylinder exhibits bistability across a broad parameter range, with ambient noise driving increases or decreases in average velocity depending on material properties.

Cite This Study

Poeschel et al. (2005) studied this question.

synapsesocial.com/papers/6a91610180800acc723402aa https://doi.org/10.48550/arxiv.cond-mat/0506255

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

View Full Paper

Ask AI

Bookmark