 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 48, Issue 4 / 2013 | Next article >> |
| V.Ph. Zhuravlev, "On the History of the Dry Friction Law," Mech. Solids. 48 (4), 364-369 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
4 |
Pages |
364-369 |
| DOI |
10.3103/S002565441304002X |
| Title |
On the History of the Dry Friction Law |
| 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) |
| Abstract |
We discuss the role played by Amontons, Coulomb, Leonardo da Vinci, Morin, and Euler in the discovery of the dry friction law. In particular, reference is given to Euler's 1748 paper, where an exhaustive statement of the dry friction law was given 37 years before Coulomb's main publications.
Painlevé's criticism of the Coulomb law is assessed, and the main points of the theory of polycomponent dry friction are given. |
| Keywords |
dry friction, Coulomb law |
| References |
| 1. | Leonardo da Vinci, About Myself and My New Science (1508),
in Pictorial Works of Art, Vol. 1
(Academia, Moscow, 1932)
[in Russian]. |
| 2. | G. Amontons,
"De la Résistance Causée Dans les Machines,"
Mem. Acad. Roy,
206-222 (1699). |
| 3. | L. Euler,
"Sur la Diminution de la Résistance du Frottement,"
Histoire de l'Académie Royale des Sciences et Belles-Lettres de Berlin,
4, 133-148 (1748). |
| 4. | C. A. Coulomb,
"Theorie des Machines Simples,"
Mem. Math. Phys. Acad. Sci.
10, 161-331 (1785). |
| 5. | A. J. Morin,
"Nouvelles Expériences sur le Frottement Faites à Metz en 1831-1833,"
Mém. Présentés par Divers Savants à l'Académie des Sciences
4, 1-128, 591-696 (1833); 641-783 (1835). |
| 6. | D. Bellet,
Cours de Mécanique Générale
(Cépaduès-Editions, Toulouse, 1988)
[in French]. |
| 7. | P. Painlevé,
Lecons sur le Frottement
(Hermann, Paris, 1895; Gostekhizdat, Moscow, 1954). |
| 8. | J. Hadamard,
"Sur les Integrals d'un System d'Équations Différentielles Ordinaries, Considérées
Comme Functions des Donnes Initiakes,"
Bull. Soc. Math. France
28, 64-66 (1900) [3]. |
| 9. | N. E. Zhukovskii,
"Equilibrium Condition for a Rigid Body Contacting with an Immovable Plane by a Site and
Able to Move along This Plane with Friction,"
in Complete Papers, Vol. 1
(Gostekhizdat, Moscow-Leningrad, 1948),
pp. 399-354
[in Russian]. |
| 10. | N. E. Zhukovskii,
"Friction of Railway Wheel Treads on Railways,"
Complete Papers, Vol. 7
(Gostekhizdat, Moscow-Leningrad, 1948),
pp. 426-478
[in Russian]. |
| 11. | G. Coriolis,
Théorie Mathématique des Effects du Jeu de Billiard
(Carilian-Goeury, Paris, 1835; Gostekhizdat, Moscow, 1956). |
| 12. | A. P. Markeev,
Dynamics of a Body Contacting with a Rigid Surface
(Nauka, Fizmatlit, Moscow, 1992)
[in Russian]. |
| 13. | E. J. Routh,
Dynamics of a System of Rigid Bodies, Part 2
(Nauka, Moscow, 1983)
[in Russian]. |
| 14. | J. A. Euler,
"Recherches Plus Exactes sur l'Effect des Moulin à Vent,"
Mem. Acad. Roy. Sci. Berlin
12, 165-234 (1758). |
| 15. | P. Contensou,
"Couplage Entre Frottenment de Glissement et Frottenment de Pivotement Dans la Théorie de la
Toupie,"
in Kreiselprobleme Gyrodynamics
(IUTAM Symp. Celerina, Berlin etc., Springer; Mir, Moscow, 1967),
pp. 201-216 (60-77). |
| 16. | V. Ph. Zhuravlev,
"Moment of Friction of Rotating Pivot in Motion on a Moving Base,"
Vopr. Oboron. Tekhn. Ser. 9.
No. 2 (1969). |
| 17. | V. Ph. Zhuravlev and D. M. Klimov,
"The Causes of the Shimmy Phenomenon,"
Dokl. Ross. Akad. Nauk
428 (6), 761-764 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (10), 475-478 (2009)]. |
| 18. | V. V. Andronov and V. Ph. Zhuravlev,
Dry Friction in Problems of Mechanics
(IKI, NITs "Regular and Chaotic Mechanics", Moscow-Izhevsk, 2010)
[in Russian]. |
| 19. | I. V. Kragelskii and V. S. Shchedrov,
Progress in Science of Friction. Dry Friction
(Izd-vo AN SSSR, Moscow, 2010)
[in Russian]. |
|
| Received |
20 February 2013 |
| Link to Fulltext |
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