 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.Ph. Zhuravlev, D.M. Klimov, and P.K. Plotnikov, "A New Model of Shimmy," Mech. Solids. 48 (5), 490-499 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
5 |
Pages |
490-499 |
| DOI |
10.3103/S0025654413050026 |
| Title |
A New Model of Shimmy |
| Author(s) |
V.Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, zhurav@ipmnet.ru)
D.M. Klimov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, klimov@ipmnet.ru)
P.K. Plotnikov (Saratov State Technical University, Politekhnicheskaya 77, Saratov, 410054 Russia, pribor@sstu.ru) |
| Abstract |
Shimmy is the phenomenon of intensive angular self-excited vibrations of a vehicle wheel. Such self-excited vibrations seriously threaten the safety of motion, which explains scientists' profound interest in this phenomenon. This problem is most serious for the front wheels of aircraft.
Tyre deformation is usually viewed to be the main cause of shimmy. Without casting doubt on this point, we still note that this is not the only cause. The shimmy phenomenon can also be observed in everyday life and for various hand carts, where any reference to tyre elasticity is most often irrelevant if the wheels are rigid.
We show that the polycomponent dry friction theory can completely explain the shimmy phenomenon for absolutely rigid wheels and hence polycomponent dry friction is at least one of its causes in the general case.
Dry friction has been neglected by scientists when explaining shimmy because dry friction theory has not been sufficiently well developed until recently; at the same time, shimmy cannot be explained in the framework of earlier conceptions. |
| Keywords |
shimmy, polycomponent dry friction, Padé approximation |
| References |
| 1. | V. S. Gozdek,
"Reaction of the Ground on a Vibrating Rolling Wheel with an Elastic Tire,"
Dokl. Akad. Nauk SSSR
186 (5), 1031-1033 (1969)
[Soviet Phys. Dokl. (Engl. Transl.)
14, 536 (1969)]. |
| 2. | M. V. Keldysh,
"Fore Wheel Shimmy of a Three-Wheel Landing Gear,"
in Selected Works. Mechanics
(Nauka, Moscow , 1985),
pp. 491-530
[in Russian]. |
| 3. | K. S. Kolesnikov,
Self-Excited Oscillations of the Car Steering Wheels
(Gostekhizdat, Moscow, 1955)
[in Russian]. |
| 4. | J. Medzorian,
"An Investigation of Landing Gear Shimmy: Tire Models, Tire Test Methodologies,
Analysis and Parameter Studies,"
in 1999 World Aviation Conf. San Francisco, CA
(1999), Docum. No. 1999-01-SS27. |
| 5. | H. B. Pacejka,
Tyre and Vehicle Dynamics
(Butterworth-Heinemann, Oxford, 2002). |
| 6. | Y. Rocard,
Dynamique Général des Vibrations
(Masson, Paris, 1949). |
| 7. | J. Svendenius,
The Models for Use in Braking Applications
(Department of Automatic Control, Lund Institute of Technology, Lund, 2003). |
| 8. | I. G. Goryacheva,
Mechanics of Friction Interaction
(Nauka, Moscow, 2001)
[in Russian]. |
| 9. | V. Ph. Zhuravlev,
"On the Model of Dry Friction in Problems of Rigid Body Dynamics,"
Uspekhi Mekh.
3 (6), 157-168 (2005). |
| 10. | V. Ph. Zhuravlev and D. M. Klimov,
"On the Dynamics of the Thompson Top (Tippe Top) on the Plane with Real Dry Friction,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 157-168 (2005)
[Mech. Solids (Engl. Transl.)
40 (6), 117-127 (2005)]. |
| 11. | V. Ph. Zhuravlev and D. M. Klimov,
"The Causes of the Shimmy Phenomenon,"
Dokl. Ross. Akad. Nauk
428 (6), 761-764
[Dokl. Phys. (Engl. Transl.)
54 (10), 475-478 (2009)]. |
|
| Received |
15 January 2013 |
| Link to Fulltext |
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