Skip to main content
SpringerLink
Log in

Simulation Model of Propagation of Vibrations in a System of Connected Bodies for the Solution of Problems of Vibration Diagnostics

  • SAFETY, DIAGNOSIS, AND REPAIR
  • Published:
Chemical and Petroleum Engineering Aims and scope

An approach to the construction of a mathematical model of the process of propagation of acoustic vibrations in equipment that is in the form of a system of connected bodies is considered. The proposed structure of the mathematical model is implemented as a graph whose edges are links between the elements of a system of connected bodies formalized by nonhomogeneous wave equations that take into account dissipative losses. Through the use of the mathematical model together with the introduction of sources of an external disturbance in any node of the graph, it becomes possible to describe a variation in the vibration signal at a contact point, estimate its properties, and select on a well-defined basis the point of attachment of the vibration signal sensor. The mathematical model is tested to assure it corresponds qualitatively to the actual processes in the propagation of vibration signals by means of test disturbances, and it is shown that it may be used to evaluate the selection of the points of attachment of the vibration signal sensors in problems of vibration diagnostics of equipment.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. G. Sh. Rozenberg, E. Z. Madorskii, E. S. Golub, et al., Vibration Diagnostics, PEIPIK, St. Petersburg (2003).

  2. I. G. Mikhailov, V. A. Solov’ev, and Yu. P. Syrnikov, Foundations of Molecular Acoustics, Nauka, Moscow (1964).

  3. Mathworks, http://matlab.ru/, acces. March 2, 2015.

  4. J. W. Strett (Lord Rayleigh), Theory of Sound [Russian translation], Gos. Izd. Tekhn.-Teor. Lit., Moscow (1955), Vol. 1.

  5. V. D. Goryachenko, Elements of the Theory of Vibrations, Vysshaya Shkola, Moscow (2001), 2nd ed.

  6. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, Moscow Univ., Nauka, Moscow (2004).

  7. A. G. Butkovskii, Characteristics of Systems with Distributed Parameters: Ref. Book, Nauka, Moscow (1979).

  8. V. V. Meshcheryakov, Problems in Mathematics with Matlab & Simulink, Dialog-MIFI, Moscow (2007).

  9. M. D. Genkin and A. G. Sokolov, Vibration Acoustic Diagnostics of Machines and Mechanisms, Mashinostroenie, Moscow (1987).

  10. F. M. Dimentberg and K. S. Kolesnikov, Vibrations in Engineering: Ref. Book, Mashinostroenie, Moscow (1980), Vol. 3.

  11. V. A. Russov, Diagnostics of Defects in Rotating Equipment from Vibration Signals, Perm (2012).

Download references

Author information

Authors and Affiliations

  1. Military Training and Research Center of Airforce – Zhukovskii and Gagarin Airforce Academy, Voronezh, Russia

    A. A. Khvostov & N. A. Degtyarev

  2. Voronezh State University of Engineering Technologies, Voronezh, Russia

    S. Yu. Panov & A. N. Ryazanov

Authors
  1. A. A. Khvostov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. A. Degtyarev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Yu. Panov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. N. Ryazanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Khvostov.

Additional information

Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, No. 6, pp. 42–48, June, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khvostov, A.A., Degtyarev, N.A., Panov, S.Y. et al. Simulation Model of Propagation of Vibrations in a System of Connected Bodies for the Solution of Problems of Vibration Diagnostics. Chem Petrol Eng 52, 429–437 (2016). https://doi.org/10.1007/s10556-016-0211-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10556-016-0211-8

Keywords

Search

Navigation