On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution

作者:

Highlights:

• Rolling of a heavy ball without slipping over a fixed surface is considered.

• Imperfectly rough contact between the ball and the surface is assumed.

• The condition of transition into the rolling with slipping is derived.

摘要

•Rolling of a heavy ball without slipping over a fixed surface is considered.•Imperfectly rough contact between the ball and the surface is assumed.•The condition of transition into the rolling with slipping is derived.

论文关键词:nonholonomic mechanics,heavy ball,Coulomb friction,rolling without slipping,dynamics,point contact

论文评审过程:Received 24 June 2020, Revised 10 November 2021, Accepted 28 December 2021, Available online 10 January 2022, Version of Record 10 January 2022.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126906