Skip to main content
SpringerLink
Log in

Analysis of the dynamics of mechanical systems using symmetry groups

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

Abstract

A technique of analysis of dynamics of mechanisms with symmetry elements is given. One of possible schemes of such analysis is considered by example of the tooth wheel mechanism.

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. Banakh, L.Ya., Grinkevich, V.K., Ovchinnikova, N.F., and Fedoseev, Yu.N., Analysis of Dynamics of Mechanisms Using Symmetry Groups, Mashinovedenie, 1988, no. 2, pp. 67–70.

  2. Banakh, L.Ya. and Gadzhieva, E.N., Dynamics of Regular and Quasiregular Systems with Rotational Symmetry, Mashinovedenie, 1984, no. 3, pp. 9–16.

  3. Noks, R. and Gold, A., Simmetriya v tverdom tele (Symmetry in Rigid Body), Moscow: Nauka, 1970.

    Google Scholar 

  4. Lyubarskii, G.Ya., Teoriya grupp i ee primenenie v fizike (Group Theory and its Application in Physics), Moscow: Tekhniko-teoreticheskaya lit-ra, 1957.

    Google Scholar 

  5. Lyubarskii, G.Ya., Teoriya grupp v fizike (Group Theory in Physics), Moscow: Nauka, 1986.

    Google Scholar 

  6. Bagavantam, S. and Venkataraiudu, T., Teoriya grupp i ee primenenie k fizicheskim problemam (Group Theory and its Application to Physical Problems), Moscow: Izd-vo in. lit., 1959.

    Google Scholar 

  7. Aver’yanova, V.G. and Dimentberg, F.M., Geometric Interpretation of Vibrations of Elastically Suspended Rigid Body, Izv. AN SSSR. Mekhanika i mashinostroenie, 1964, no. 6. List of references.

  8. Airapetov, E.L., Aparkhov, V.I., Mel’nikova, T.N., et al., Consideration for Dynamical Loading in Strength Analysis of Gear Transmissions, Vestnik mashinostroeniya, 1997, no. 11.

  9. Aparkhov, V.I. and Panchenko, V.I., Peculiarities of Excitation of Vibrations from Teeth in Planetary Gear Transmissions, Mashinovedenie, 1966, no. 4.

Download references

Author information

Authors and Affiliations

  1. Moscow, Russia

    Yu. N. Fedoseev & A. K. Puzakina

Authors
  1. Yu. N. Fedoseev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. K. Puzakina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © Yu.N. Fedoseev, A.K. Puzakina, 2009, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2009, No. 1, pp. 26–34.

About this article

Cite this article

Fedoseev, Y.N., Puzakina, A.K. Analysis of the dynamics of mechanical systems using symmetry groups. J. Mach. Manuf. Reliab. 38, 19–26 (2009). https://doi.org/10.3103/S105261880901004X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S105261880901004X

Keywords

Search

Navigation