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Wave Radiation from a Stick-Slip-Like Source Motion (SH-Wave)

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Advanced Dynamics and Model-Based Control of Structures and Machines

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Abstract

A simple mathematical model for the stick-slip motion is introduced and the dynamic response of an elastic solid to a moving SH-source with the stick-slip motion is discussed. Its exact response is obtained in the form of an infinite sum of time-harmonic response. Each component in the summation has a parametric-like frequency, i.e. a combination of two frequencies, stick-slip motion and time-harmonic source magnitude. The Doppler frequency shift is extracted from each component response. Due to the presence of two velocity parameters, the mean velocity and the frequency of the stick-slip motion, the Doppler effects take place even if the source magnitude is constant, not time-harmonic. The response is shown in graphical forms and it is found that the lowest frequency component has the dominant contribution to the total response.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Yamagata University, Yonezawa, Yamagata, 992-8510, Japan

    Kazumi Watanabe

Authors
  1. Kazumi Watanabe
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Correspondence to Kazumi Watanabe .

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Editors and Affiliations

  1. Institut für Technische Mechanik, Universität Linz, Altenbergstr. 69, Linz, 4040, Austria

    Hans Irschik

  2. Abt. Technische Mechanik, Universität Linz, Altenbergerstraße 69, Linz, 4040, Austria

    Michael Krommer

  3. Inst. Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave. V. O. 61, St. Petersburg, 199178, Russian Federation

    Alexander K. Belyaev

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Watanabe, K. (2012). Wave Radiation from a Stick-Slip-Like Source Motion (SH-Wave). In: Irschik, H., Krommer, M., Belyaev, A. (eds) Advanced Dynamics and Model-Based Control of Structures and Machines. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0797-3_24

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  • DOI: https://doi.org/10.1007/978-3-7091-0797-3_24

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0796-6

  • Online ISBN: 978-3-7091-0797-3

  • eBook Packages: EngineeringEngineering (R0)

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