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The Model of a Deformable String with Discontinuities at Spatial Description in the Dynamics of a Belt Drive

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Mechanics and Model-Based Control of Advanced Engineering Systems

Abstract

We study dynamics of a belt drive with a nonlinear model of an extensible string at contour motion, in which the trajectories of particles of the belt are pre-determined. Writing the equations of string dynamics in a spatial frame and assuming the absence of slip of the belt on the surface of the pulleys we arrive at a new model with a discontinuous velocity field and concentrated contact forces. It is demonstrated how the model may be applied for analytical study of stationary regimes, and differences in the behavior of synchronous and friction belt drives are pointed out. We also present a novel approach for modeling transient behavior of the system, e.g. for the analysis of start up of the belt drive or its frequency response. Both numerical and analytical solutions of the resulting problem are possible.

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Acknowledgements

Support of Yu. Vetyukov from the K2 Austrian Center of Competence in Mechatronics (ACCM) is gratefully acknowledged.

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Authors and Affiliations

  1. Institute of Technical Mechanics, Johannes Kepler University, Altenberger Str. 69, A-4040, Linz, Austria

    Yury Vetyukov

  2. Faculty of Mechanics and Mechanical Engineering, St. Petersburg State Polytechnical University, Polytechnicheskaya ul. 29, 195251, St. Petersburg, Russia

    Vladimir Eliseev

Authors
  1. Yury Vetyukov
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  2. Vladimir Eliseev
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Corresponding author

Correspondence to Yury Vetyukov .

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Editors and Affiliations

  1. Inst. of Problems in Mech. Eng., Russian Academy of Sciences, St. Petersburg, Russia

    Alexander K. Belyaev

  2. Universität Linz, Linz, Austria

    Hans Irschik

  3. Universität Linz, Linz, Austria

    Michael Krommer

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Vetyukov, Y., Eliseev, V. (2014). The Model of a Deformable String with Discontinuities at Spatial Description in the Dynamics of a Belt Drive. In: Belyaev, A., Irschik, H., Krommer, M. (eds) Mechanics and Model-Based Control of Advanced Engineering Systems. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1571-8_30

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  • DOI: https://doi.org/10.1007/978-3-7091-1571-8_30

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-1570-1

  • Online ISBN: 978-3-7091-1571-8

  • eBook Packages: EngineeringEngineering (R0)

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