A Minimum Principle for the Law of Dry Friction—Part 2: Application to Nonsteadily Rolling Elastic CylindersSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004::page 881Author:J. J. Kalker
DOI: 10.1115/1.3408970Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A minimum principle for the law of dry friction was established in Part 1 of this paper. Here, in Part 2, the principle is applied to the nonsteady contact problem in which the traction evolves under the influence of a gross motion and loading program, and the principle appears to lead to a time sequence of linear programming problems. Such contact problems under several restrictions have been treated before by Kalker [3–5] without the aid of minimization techniques. In the present paper these restrictions are all removed. Numerical results are presented.
keyword(s): Cylinders , Dry-friction whip and whirl , Motion , Linear programming AND Traction ,
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| contributor author | J. J. Kalker | |
| date accessioned | 2017-05-09T00:47:16Z | |
| date available | 2017-05-09T00:47:16Z | |
| date copyright | December, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25950#881_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/147756 | |
| description abstract | A minimum principle for the law of dry friction was established in Part 1 of this paper. Here, in Part 2, the principle is applied to the nonsteady contact problem in which the traction evolves under the influence of a gross motion and loading program, and the principle appears to lead to a time sequence of linear programming problems. Such contact problems under several restrictions have been treated before by Kalker [3–5] without the aid of minimization techniques. In the present paper these restrictions are all removed. Numerical results are presented. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Minimum Principle for the Law of Dry Friction—Part 2: Application to Nonsteadily Rolling Elastic Cylinders | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408970 | |
| journal fristpage | 881 | |
| journal lastpage | 887 | |
| identifier eissn | 1528-9036 | |
| keywords | Cylinders | |
| keywords | Dry-friction whip and whirl | |
| keywords | Motion | |
| keywords | Linear programming AND Traction | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004 | |
| contenttype | Fulltext |