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Nonlinear dynamics of the elastic smoothing of surfaces

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Abstract

An energy approach to the mathematical description of the nonlinear dynamics of surface smoothing is proposed. The analysis reveals a nonlinear dynamic core in the system that identifies the oscillatory interaction of the smoothing tool’s indenter with the surface. A multiple-sheet phase portrait of the nonlinear dynamics of elastic smoothing is created and, on that basis, the boundaries of dynamic stability of the system are determined.

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References

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Authors and Affiliations

  1. Kurgan State University, Kurgan, Russia

    V. P. Kuznetsov & V. G. Gorgots

Authors
  1. V. P. Kuznetsov
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  2. V. G. Gorgots
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Additional information

Original Russian Text © V.P. Kuznetsov, V.G. Gorgots, 2008, published in Vestnik Mashinostroeniya, 2008, No. 12, pp. 61–65.

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Kuznetsov, V.P., Gorgots, V.G. Nonlinear dynamics of the elastic smoothing of surfaces. Russ. Engin. Res. 28, 1201–1206 (2008). https://doi.org/10.3103/S1068798X08120113

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  • DOI: https://doi.org/10.3103/S1068798X08120113

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