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Vibro-Impact Effects in Limited Vibrations of String Lattices with Massive Nodes

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Abstract

The dynamics of a lattice structure consisting of strings and point bodies at the places of their intersection, as well as limiters that can be struck by these bodies (nodes), is investigated. Equations of motion are given, and methods for their solution are pointed out. In particular, the existence of standing waves characterized by synchronous impacts of all nodes in the power excitation mode is experimentally established. The results of analysis of such movements are presented.

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References

  1. L. I. Mandel’shtam, Lectures on Oscillation Theory (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

  2. V. K. Astashev, V. L. Krupenin, V. N. Perevezentsev, L. V. Kolik, and N. A. Andrianov. J. Mach. Manuf. Reliab. 40 (5), 463 (2011).

    Article  Google Scholar 

  3. R. F. Nagaev and K. Sh. Khodzhaev, Vibrations of Mechanical Systems with Periodic Structure (FAN, Tashkent, 1973) [in Russian].

    Google Scholar 

  4. V. L. Krupenin. J. Mach. Manuf. Reliab. 45 (2), 104 (2016).

    Article  Google Scholar 

  5. V. Astachev, N. Andrianov, and V. Krupenin, Vibroengineering Procedia 8, 97 (2016).

    Google Scholar 

  6. V. I. Babitsky and V. L. Krupenin, Vibration of Strongly Nonlinear Discontinuous Systems (Springer, Berlin, 2001).

    Book  MATH  Google Scholar 

  7. V. I. Babitskii, A. M. Veprik, and V. L. Krupenin, Sov. Phys. Dokl. 33, 343 (1988).

    ADS  Google Scholar 

  8. V. K. Astashev, V. L. Krupenin, and A. N. Tresvyatskii, Dokl. Phys. 41 (11), 532 (1996).

    ADS  Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, Oxford, 1967; Nauka, Moscow, 1965).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Blagonravov Institute of Machine Science, Russian Academy of Sciences, Moscow, 101000, Russia

    V. K. Astashev, V. L. Krupenin & N. A. Andrianov

Authors
  1. V. K. Astashev
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  2. V. L. Krupenin
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  3. N. A. Andrianov
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Corresponding author

Correspondence to V. L. Krupenin.

Additional information

Original Russian Text © V.K. Astashev, V.L. Krupenin, N.A. Andrianov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 480, No. 6, pp. 661–665.

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Astashev, V.K., Krupenin, V.L. & Andrianov, N.A. Vibro-Impact Effects in Limited Vibrations of String Lattices with Massive Nodes. Dokl. Phys. 63, 249–252 (2018). https://doi.org/10.1134/S1028335818060083

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  • DOI: https://doi.org/10.1134/S1028335818060083

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