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Uspekhi Fizicheskikh Nauk, 2015, Volume 185, Number 12, Pages 1339–1341
DOI: https://doi.org/10.3367/UFNr.0185.201512g.1339 (Mi ufn5370) 		 
This article is cited in 3 scientific papers (total in 3 papers)

LETTERS TO THE EDITORS

Notes on new friction models and nonholonomic mechanics

A. V. Borisovab, I. S. Mamaevc

a Udmurt State University, Izhevsk
b National Research Nuclear University MEPhI, Moscow
c Kalashnikov Izhevsk State Technical University
Full-text PDF (457 kB) Citations (3)
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DOI: https://doi.org/10.3367/UFNr.0185.201512g.1339
Abstract: This is a reply to the comment by V F Zhuravlev (see Usp. Fiz. Nauk 185 1337 (2015) [Phys. Usp. 58 1218 (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.
Funding agency Grant number
Russian Science Foundation 14-19-01303
The research was carried out under a partial financial support from the Russian Science Foundation (project 14-19-01303).
Received: October 8, 2015
Accepted: October 8, 2015
English version:
Physics–Uspekhi, 2015, Volume 58, Issue 12, Pages 1220–1222
DOI: https://doi.org/10.3367/UFNe.0185.201512g.1339
Bibliographic databases:
Document Type: Letter, errata
PACS: 05.45.-a, 45.40.-f
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “Notes on new friction models and nonholonomic mechanics”, UFN, 185:12 (2015), 1339–1341; Phys. Usp., 58:12 (2015), 1220–1222
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/ufn5370
  • https://www.mathnet.ru/eng/ufn/v185/i12/p1339
    • This publication is cited in the following 3 articles:
    1. I. A. Bizyaev, I. S. Mamaev, “Separatrix splitting and nonintegrability in the nonholonomic rolling of a generalized chaplygin sphere”, Int. J. Non-Linear Mech., 126 (2020), 103550  crossref  isi  scopus
    2. I. A. Bizyaev, A. V. Borisov, S. P. Kuznetsov, “Chaplygin Sleigh With Periodically Oscillating Internal Mass”, EPL, 119:6 (2017), 60008  crossref  isi
    3. Yu. L. Karavaev, A. A. Kilin, “Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments”, Proc. Steklov Inst. Math., 295 (2016), 158–167  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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