 | | 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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| A. A. Kireenkov, "Torsional vibrations in systems with combined dry friction," Mech. Solids. 44 (3), 361-365 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
3 |
Pages |
361-365 |
| DOI |
10.3103/S0025654409030042 |
| Title |
Torsional vibrations in systems with combined dry friction |
| Author(s) |
A. A. Kireenkov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, kireenk@ipmnet.ru) |
| Abstract |
We consider an example of torsional vibrations of a vertically located cylindrical rod one of whose ends is elastically fixed and the other end rests on an infinite band moving at a constant velocity. We compare the main models of dry friction, such as “pure” dry friction and “viscous” friction, and the models based on the Padé expansions of the corresponding order. We show that the model based on linear-fractional Padé expansions of the exact integral model, which is written under the assumption that the Coulomb law in differential form is true, is the simplest form of the model of combined dry friction, which gives correct results, while the models of pure dry and viscous friction cannot provide correct descriptions of the effects of combined dry friction. |
| References |
| 1. | V.Ph. Zhuravlev, "The Model of Dry Friction in the Problem of the Rolling of Rigid Bodies," Prikl. Mat. Mekh.
62 (5), 762-767 (1998) [J. Appl. Math. Mech. (Engl. Transl.)
62 (5), 705-710 (1998)]. |
| 2. | A.A. Kireenkov, "On the Motion of a Homogeneous Rotating Disk along a Plane in the Case of Combined Friction," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 60-67 (2002) [Mech. Solids (Engl. Transl.) 37 (1), 47-53 (2002)]. |
| 3. | A.A. Kireenkov, "A Method for the Calculation of the Force and Torque of Friction in a Combined Model of Dry Friction for Circular Contact Areas," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 51-56 (2003) [Mech. Solids (Engl. Transl.) 38 (3), 39-43 (2003)]. |
| 4. | V.Ph. Zhuravlev, "Friction Laws in the Case of Combination of Slip and Spin," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 81-88 (2003) [Mech. Solids (Engl. Transl.) 38 (4), 52-58 (2003)]. |
| 5. | V.Ph. Zhuravlev and A.A. Kireenkov, "Padé Expansions in the Two-Dimensional Model of Coulomb Friction," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 3-14 (2005) [Mech. Solids (Engl. Transl.) 40 (2), 1-10 (2005)]. |
| 6. | A.A. Kireenkov, "Torsional Oscillations in Systems with Combined Dry Friction," in Proc. 5th EUROMECH Nonlinear Dynamics Conf. 2005. TUE. Einhoven (CD-Rom, Einhoven, The Netherlands, 2005), pp. 2370-2375. |
|
| Received |
24 January 2007 |
| Link to Fulltext |
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