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Motion of two interconnected mass points under action of non-symmetric viscous friction

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Abstract

This paper deals with the analysis of a one-dimensional motion of two mass points in a resistive medium. The force of resistance is described by small non-symmetric viscous friction acting on each mass point. The magnitude of this force depends on the direction of motion. The mass points are interconnected with a kinematic constraint or with an elastic element. Using the averaging method the expressions for the stationary “on the average” velocity of the systems’s motion as a single whole is found. In case of a small degree of non-symmetry an explicit expression for the stationary “on the average” velocity of the system is derived. For the other case we obtained algebraic equations for the corresponding stationary velocity.

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Authors and Affiliations

  1. Ilmenau University of Technology, Ilmenau, Germany

    Klaus Zimmermann, Igor Zeidis, Michail Pivovarov & Carsten Behn

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  1. Klaus Zimmermann
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  2. Igor Zeidis
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  3. Michail Pivovarov
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  4. Carsten Behn
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Correspondence to Igor Zeidis.

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Zimmermann, K., Zeidis, I., Pivovarov, M. et al. Motion of two interconnected mass points under action of non-symmetric viscous friction. Arch Appl Mech 80, 1317–1328 (2010). https://doi.org/10.1007/s00419-009-0373-3

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  • DOI: https://doi.org/10.1007/s00419-009-0373-3

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