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Rolling Friction of a Hard Cylinder over a Viscoelastic Material


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1 Mechanical Engineering Department, Lukhdhirji Engineering College, Morbi-363643, India
     

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The problem of a hard cylinder rolling with constant velocity over a viscoelastic half space has been treated in terms of the bulk properties of the half space. It was theoretically found that the rolling friction changes with the relaxation time T; when T is very small, the frictional moment is proportional to the velocity of the cylinder, whereas, when T is very large, the moment is independent of the velocity. The attenuation of the amplitude of a swinging pendulum consists of two terms, one is in proportion to the velocity and the other is a constant. When the amplitude becomes very small, the constant term of the moment diminishes.
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  • Rolling Friction of a Hard Cylinder over a Viscoelastic Material

Abstract Views: 209  |  PDF Views: 1

Authors

U. M. Chhatrapati
Mechanical Engineering Department, Lukhdhirji Engineering College, Morbi-363643, India

Abstract


The problem of a hard cylinder rolling with constant velocity over a viscoelastic half space has been treated in terms of the bulk properties of the half space. It was theoretically found that the rolling friction changes with the relaxation time T; when T is very small, the frictional moment is proportional to the velocity of the cylinder, whereas, when T is very large, the moment is independent of the velocity. The attenuation of the amplitude of a swinging pendulum consists of two terms, one is in proportion to the velocity and the other is a constant. When the amplitude becomes very small, the constant term of the moment diminishes.