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Tr. Mat. Inst. Steklova, 2013, Volume 281, Pages 32–41 (Mi tm3464)  

This article is cited in 1 scientific paper (total in 1 paper)

A new shimmy model

V. F. Zhuravleva, D. M. Klimova, P. K. Plotnikovb

a Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
b Saratov State Technical University, Saratov, Russia

Abstract: Shimmy is a phenomenon of intense angular self-excited vibrations of the wheels of a carriage. Such self-excited vibrations present a serious threat to traffic safety, which accounts for the great interest of researchers in this phenomenon. The problem is of highest importance for the front wheels of aircraft. Usually, the deformation of pneumatic tires is considered to be the main factor responsible for shimmy. Without challenging this thesis, we nevertheless note that this is not the only factor. The shimmy phenomenon can be observed in everyday life in the case of various carriages that often have nothing to do with pneumatics if the wheels are rigid. Below we will show that the theory of polycomponent dry friction fully explains the shimmy phenomenon for absolutely rigid wheels and, hence, is at least one of the factors responsible for shimmy in the general case. The reason why researchers have not taken dry friction into account when explaining shimmy is that the theory of this kind of friction has not been well developed; at the same time one has failed to explain shimmy in the framework of other existing theories.


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English version:
Proceedings of the Steklov Institute of Mathematics, 2013, 281, 27–36

Bibliographic databases:

Document Type: Article
UDC: 531
Received in September 2012

Citation: V. F. Zhuravlev, D. M. Klimov, P. K. Plotnikov, “A new shimmy model”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Tr. Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 32–41; Proc. Steklov Inst. Math., 281 (2013), 27–36

Citation in format AMSBIB
\by V.~F.~Zhuravlev, D.~M.~Klimov, P.~K.~Plotnikov
\paper A new shimmy model
\inbook Modern problems of mechanics
\bookinfo Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday
\serial Tr. Mat. Inst. Steklova
\yr 2013
\vol 281
\pages 32--41
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 281
\pages 27--36

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    This publication is cited in the following articles:
    1. J. Lu, J. Jiang, J. Li, M. Wen, “Analysis of dynamic mechanism and global response of vehicle shimmy system with multi-clearance joints”, J. Vib. Control, 24:11 (2018), 2312–2326  crossref  mathscinet  isi  scopus
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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