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Issue 11, 2024
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Letters to the editors


Notes on new friction models and nonholonomic mechanics

 a, b, c,  d
a Institute of Computer Science, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation
b Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russian Federation
c Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
d Udmurt 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.

Fulltext pdf (325 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201512g.1339
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/
000371914300006
2-s2.0-84962916605
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, 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

References (27) Cited by (3) Similar articles (8) ↓

  1. S.P. Kuznetsov “On the validity of nonholonomic model of the rattleback” Phys. Usp. 58 1223–1224 (2015)
  2. V.F. Zhuravlev “Once more on the dynamics of the rattleback (comment on "Strange attractors in rattleback dynamics" by A.V. Borisov and I.S. Mamaev [Usp. Fiz. Nauk 173 407 (2003); Phys. Usp. 46 393 (2003)] and "Nonlinear dynamics of the rattleback: a nonholonomic model" by A.V. Borisov, A.O. Kazakov, S.P. Kuznetsov [Usp. Fiz. Nauk 184 493 (2014); Phys. Usp. 57 453 (2014)])” Phys. Usp. 58 1218–1219 (2015)
  3. G.R. Ivanitskii “Memory about the past is beneficial for survival and reproduction (reply to comment (Usp. Fiz. Nauk 182 1235 (2012) [Phys. Usp. 55 1152 (2012)]) by V I Klyatskin on “21st century: what is life from the perspective of physics” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)” Phys. Usp. 55 1155–1160 (2012)
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  5. S.N. Vladimirov “Does the sign correlation of quasiperiodic oscillations with incommensurable frequencies generate deterministic chaos?” Phys. Usp. 47 205–208 (2004)
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  7. G.B. Malykin, V.I. Pozdnyakova “On inconsistencies in the work of P Maraner (reply to comment [Usp. Fiz. Nauk 186 793 2016] to the paper "Quadratic Sagnac effect — the influence of gravitational potential of Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results, 1921—1926)" (Usp. Fiz. Nauk 185 431 (2015) [Phys. Usp. 58 398 (2015)])” Phys. Usp. 59 719–721 (2016)
  8. A.E. Dubinov, L.A. Mytareva “Is singularity-free cloaking possible? New cloaking ideas (a reply to comments on the paper “Invisible cloaking of material bodies using the wave flow method” [Phys. Usp. 53 455 (2010)])” Phys. Usp. 55 315–318 (2012)

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