Theorie und Anwendungen des echten Kugelgetriebes

Erismann, Theodor H.

doi:10.1007/bf01600548

Cited by 12 publications

(4 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It is interesting that the simple linear model of rolling friction used in this work gives highly satisfactory results explaining the qualitative behaviour of the system. In contrast to studies using more complicated friction models with the pressure distributed over the support on the contact area at a constant friction coefficient or taking into account the Stribeck effect (see [22][23][24][25][26][27] and references therein), the theoretical results obtained in this work are supported experimentally with a very good accuracy.…”

Section: Discussionmentioning

confidence: 64%

Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)

et al. 2018

View full text Add to dashboard Cite

In this work we investigate the motion of a homogeneous ball rolling without slipping on uniformly rotating horizontal and inclined planes under the action of a constant external force supplemented with the moment of rolling friction, which depends linearly on the angular velocity of the ball. We systematise well-known results and supplement them with the stability analysis of partial solutions of the system. We also perform an experimental investigation whose results support the adequacy of the rolling friction model used. Comparison of numerical and experimental results has shown a good qualitative agreement.

show abstract

Section: Discussionmentioning

confidence: 64%

Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)

et al. 2018

View full text Add to dashboard Cite

show abstract

“…According to the Contensou-Erismann model [1,2] to compute the dry friction total force and torque vectors one has to evaluate integrals over the contact elliptic area in the following way…”

Section: Figure 1: the Contact Spot Areamentioning

confidence: 99%

“…The simplest case one could encounter in this way is one of the dry friction forces distributed over the elliptic area arising in the Hertz model. It is known as the Contensou-Erismann friction model [1,2]. The model assumes the resulting wrench of the dry friction tangent forces.…”

Section: Introductionmentioning

confidence: 99%

Implementation of the Contensou–Erismann Model of Friction in Frame of the Hertz Contact Problem on Modelica

Kosenko

Aleksandrov

2009

Linköping Electronic Conference Proceedings

View full text Add to dashboard Cite

An approximate model to compute resulting wrench of the dry friction tangent forces in frame of the Hertz contact problem is built up. An approach under consideration develops in a natural way the contact model constructed earlier. Generally an analytic computation of the integrals in the Contensou-Erismann model leads to the cumbersome calculation, decades of terms, including rational functions depending in turn on complete elliptic integrals. To implement the elastic bodies contact interaction computer model fast enough one builds up an approximate model in the way initially proposed by Contensou. To verify the model built results obtained by several authors were applied. First the Tippe-Top dynamic model is used as an example under testing. It turned out the top revolution process is identical to one simulated with use of the set-valued functions approach. In addition, the ball bearing dynamic model was also used to verify different approaches to the tangent forces computational implementation in details. A model objects corresponding to contacts between balls and raceways were replaced by ones of a new class developed here. Then the friction model of the approximate Contensou type embedded into the whole bearing dynamic model was thoroughly tested.

show abstract

“…Одна из моделей сухого трения, учитывающая скольжение и верчение тела в точке контакта, была предложена Контенсу и Эрисманом [77,84]. В модели Контенсу-Эрисмана локально используется закон трения Кулона, а интегрирование силы трения Кулона по площадке контакта приводит к ненулевой суммарной силе трения и к ненулевому моменту трения верчения.…”

Section: модель трения контенсу-эрисманаunclassified

Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems

Borisov¹,

Mamaev²

2008

Nelin. Dinam.

View full text Add to dashboard Cite

show abstract

Theorie und Anwendungen des echten Kugelgetriebes

Cited by 12 publications

References 4 publications

Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)

Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)

Implementation of the Contensou–Erismann Model of Friction in Frame of the Hertz Contact Problem on Modelica

Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems

Contact Info

Product

Resources

About