Dynamics of Coupled Oscillators Excited by Dry FrictionSource: Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 003::page 31009Author:Madeleine Pascal
DOI: 10.1115/1.2908272Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we present an analytical method to investigate the behavior of a two-degree-of-freedom oscillator excited by dry friction. The system consists of two masses connected by linear springs. These two masses are in contact with a driving belt moving at a constant velocity. The contact forces between the masses and the belt are obtained assuming Coulomb’s friction law. Two families of periodic motions are found in closed form. The first one includes stick-slip oscillations with two switches per period, the second one is also composed of stick-slip motion, but includes three switches per period. In both cases, the initial conditions and the time duration of each kind of motions (stick or slip phases) are obtained in analytical form.
keyword(s): Motion AND Dry-friction whip and whirl ,
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| contributor author | Madeleine Pascal | |
| date accessioned | 2017-05-09T00:27:09Z | |
| date available | 2017-05-09T00:27:09Z | |
| date copyright | July, 2008 | |
| date issued | 2008 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-25657#031009_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/137549 | |
| description abstract | In this paper, we present an analytical method to investigate the behavior of a two-degree-of-freedom oscillator excited by dry friction. The system consists of two masses connected by linear springs. These two masses are in contact with a driving belt moving at a constant velocity. The contact forces between the masses and the belt are obtained assuming Coulomb’s friction law. Two families of periodic motions are found in closed form. The first one includes stick-slip oscillations with two switches per period, the second one is also composed of stick-slip motion, but includes three switches per period. In both cases, the initial conditions and the time duration of each kind of motions (stick or slip phases) are obtained in analytical form. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Dynamics of Coupled Oscillators Excited by Dry Friction | |
| type | Journal Paper | |
| journal volume | 3 | |
| journal issue | 3 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.2908272 | |
| journal fristpage | 31009 | |
| identifier eissn | 1555-1423 | |
| keywords | Motion AND Dry-friction whip and whirl | |
| tree | Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 003 | |
| contenttype | Fulltext |