Notes on new friction models and nonholonomic mechanics

A.V. Borisov^a, b, c, I.S. Mamaev^d
^aInstitute of Computer Science, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation
^bUdmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation
^cMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
^dUdmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation

This is a reply to the comment by V.F. Zhuravlev (see Usp. Fiz. Nauk 185 1337 (2015) [Phys. Usp. 58 (12) (2015)]) on the inadequacy of the nonholonomic model when applied to the rolling of rigid bodies. The model of nonholonomic mechanics is discussed. Using recent results as examples, it is shown that the validity and potential of the nonholonomic model are not inferior to those of other dynamics and friction models.

Keywords: nonholonomic model, dry friction, rattleback, rolling motion of a rigid body
PACS: 05.45.−a, 45.40.−f (all)
DOI: 10.3367/UFNe.0185.201512g.1339
URL: https://ufn.ru/en/articles/2015/12/f/
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000371914300006
Scopus

2-s2.0-84962916605
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2015PhyU...58.1220B
Citation: Borisov A V, Mamaev I S "Notes on new friction models and nonholonomic mechanics" Phys. Usp. 58 1220–1222 (2015)

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Received: 8th, October 2015, accepted: 8th, October 2015

Оригинал: Борисов А В, Мамаев И С «Замечания о новых моделях трения и неголономной механике» УФН 185 1339–1341 (2015); DOI: 10.3367/UFNr.0185.201512g.1339