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Optimal Friction Laws for Damping the Forced Vibrations of Linear Mechanical Systems

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Book cover Proceedings of the Sixth European Conference on Mathematics in Industry August 27–31, 1991 Limerick

Part of the book series: European Consortium for Mathematics in Industry ((XECMI))

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Abstract

Forced vibrations of linear mechanical systems with dissipation are considered. Some problems for determination of optimal friction laws with regard to new energy criterion are solved. The performance index is connected with the maximizing of the average power dissipated for one period of the forced vibrations. An analytical-numerical algorithm for obtaining optimal periodical damp laws is proposed. It is shown how such an approach can be generalized for the mechanical systems with nonlinearities by using the harmonic balance method. For this purpose a model of forced vibrations of one-link articulated manipulator is studied. The results obtained can be used for optimal adjusting the dampers installed at the hinges of articulated manipulators.

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References

  1. Gantmacher, F.R. (1967) Matrix theory, Nauka Publishers, Moscow.

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  2. Dakev, N.V. (1988) ‘Optimal damping the forced vibrations of articulated manipulators’, in Proc. of the third conference on application of mechanics in robotics. Varna, 22–29 Sept. 1988, pp. 125–130.

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  3. Lurye, A.I. (1961) Analytical mechanics, Fizmatgiz Publ., Moscow.

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  4. Kolowsky, M.Z. (1966) Nonlinear theory of vibroisolation systems, Nauka Publishers, Moscow.

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Author information

Authors and Affiliations

  1. Institute of Mechanics & Biomechanics, Bulgarian Academy of Sciences, 4 “Akad.Bonchev” str., BG-1113, Sofia, Bulgaria

    A. Cheremensky & N. Dakev

Authors
  1. A. Cheremensky
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  2. N. Dakev
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Limerick, Limerick, Republic of Ireland

    Frank Hodnett

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© 1992 Springer Fachmedien Wiesbaden

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Cheremensky, A., Dakev, N. (1992). Optimal Friction Laws for Damping the Forced Vibrations of Linear Mechanical Systems. In: Hodnett, F. (eds) Proceedings of the Sixth European Conference on Mathematics in Industry August 27–31, 1991 Limerick. European Consortium for Mathematics in Industry. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09834-8_18

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  • DOI: https://doi.org/10.1007/978-3-663-09834-8_18

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-09835-5

  • Online ISBN: 978-3-663-09834-8

  • eBook Packages: Springer Book Archive

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