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Effect of break of the elastic axis of a rotor with transverse crack on its vibrational characteristics

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Abstract

We perform a numerical analysis of the effect of break of the elastic axis on the characteristics of bending vibrations of a multispanned unbalanced rotor with transverse crack mounted on elastic damping supports. The break of the elastic axis in the cross section with crack is caused by local plastic strains. The solution of the problem is sought in the form of a sum of the contributions of the forces of gravity, residual disbalance, and the crack responsible for the break of the axis. The problem is reduced to the numerical analysis of the trajectory of the shaft with its subsequent improvement by the method of iterations. Amplitudes and phases of several first harmonics of vibrational displacements are found as functions of sizes, initial orientation of the crack, and the ratio of vibrational and static displacements. In the presence of the break of the elastic axis, the magnitudes of vibrational characteristics undergo significant changes. The amplitudes of vibrations induced by the crack are comparable with the amplitudes of vibrations caused by disbalance. It is shown that the behavior of the trajectory of motion regarded as a function of principal parameters is nonlinear.

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References

  1. N. G. shulzhenko, “A method for the determination of the spectrum of vibrational displacements of the shaft line of a turbine set with transverse crack,”Probl. Mashinostr., Issue 37, 10–15 (1992).

    Google Scholar 

  2. N. G. Shulzhenko and V. P. Biletchenko, “Analysis of the spectrum of vibrations of the shaft line of a turbine set with transverse crack”,Probl. Mashinostr. Nadezhn. Mash., No. 2, 26–37 (1993).

    Google Scholar 

  3. N. G. Shulzhenko, G. B. Ovcharova, and V. P. Biletchenko, “Analysis of the characteristics of vibrations of a multispanned rotor with transverse crack under small static strains,”Probl. Prochn., No. 2, 92–99 (1996).

    Google Scholar 

  4. A. S. Sekhar and B. S. Prabhu, “Crack detection and vibration characteristics of cracked shafts,”J. Sound Vibr.,157, No. 2, 375–381 (1992).

    Article  Google Scholar 

  5. L. K. Nilsson, “On the vibration behavior of a cracked rotor,”Eng. Elet.,59, No. 10, 514–524 (1982).

    Google Scholar 

  6. D. Broek,Elementary Engineering Fracture Mechanics, Noordhoff, Leyden (1974).

    Google Scholar 

  7. G. A. Korn and T. M. Korn,Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1961).

    Google Scholar 

  8. V. I. Olimpiev, “On the effect of uncentering on the vibrations of multispanned rotors,” in:Trudy TsKTI, Issue 115, 28–42 (1972).

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Authors
  1. N. G. Shulzhenko
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  2. G. B. Ovcharova
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Additional information

Institute for Problems in Mechanical Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine. Translated from Problemy Prochnosti, No. 4, pp. 82–89, July–August, 1997.

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Shulzhenko, N.G., Ovcharova, G.B. Effect of break of the elastic axis of a rotor with transverse crack on its vibrational characteristics. Strength Mater 29, 380–385 (1997). https://doi.org/10.1007/BF02767823

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  • DOI: https://doi.org/10.1007/BF02767823

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