Skip to main content
SpringerLink
Log in

Vibroimpulsive processes in the family of elastic systems with boundary elements interacting through non-Newtonian impacts

  • Mechanics of Machines
  • Published:
Journal of Machinery Manufacture and Reliability Aims and scope Submit manuscript

Abstract

A procedure is proposed for analysis of dynamic systems comprised of a large number of elastic systems of a simple structure with an arbitrary number of degrees of freedom. This composite system is supposed to contain a series of clearances the presence of which can cause development of strongly nonlinear motion modes as a result of a contact interaction not expected to be the Newtonian interaction. Generalization of methods for time-frequency analysis of vibroimpulsive processes and singularization suitable for investigation of these systems is constructed. General constitutive relations are derived. Calculation examples are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Babitskii, V.I. and Krupenin, V.L., Kolebaniya v sil’no nelineinykh sistemakh (Oscillations in Strongly Nonlinear Systems), Moscow: Nauka, 1985.

    Google Scholar 

  2. Babitsky, V.I. and Krupenin, V.L., Vibration of Strongly Nonlinear Discontinuous Systems, Berlin, Heidelberg, New York: Springer-Verlag, 2001.

    Book  MATH  Google Scholar 

  3. Krupenin, V.L., Periodical motions in elastic systems with boundary elements interacting by shocks, Probl. Mashinostr. Nadezhn. Mash., 2001, no. 3, pp. 20–28.

    Google Scholar 

  4. Krupenin, V.L., Veprik, A.M., et al., Shirokopolosnye vibroudarnye generatory mekhanicheskikh kolebanii (Broadband Vibroimpact Generators of Mechanical Oscillations), Leningrad: Mashinostroenie, 1987.

    Google Scholar 

  5. Krupenin, V.L., Forecasting vibrational field structures in constructions with impact pairs, J. Mach. Manuf. Reliab., 2013, vol. 42, no. 3, p. 244.

    Article  Google Scholar 

  6. Krupenin, V.L., The way to calculate mechanisms with threshold nonlinearity by means of singularity method, Mashinovedenie, 1984, no. 1, pp. 6–12.

    Google Scholar 

  7. Krupenin, V.L., The way to transform the shape of string oscillations that interacts with double-ended stopper, Dokl. Akad. Nauk, 1990, vol. 313, no. 6, pp. 562–566.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Blagonravov Institute of Machine Science, Russian Academy of Sciences, Malyi Khariton’evskii per. 4, Moscow, 101990, Russia

    V. L. Krupenin

Authors
  1. V. L. Krupenin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. L. Krupenin.

Additional information

Original Russian Text © V.L. Krupenin, 2014, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2014, No. 4, pp. 10–20.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Krupenin, V.L. Vibroimpulsive processes in the family of elastic systems with boundary elements interacting through non-Newtonian impacts. J. Mach. Manuf. Reliab. 43, 261–269 (2014). https://doi.org/10.3103/S1052618814040098

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1052618814040098

Keywords

Search

Navigation