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Unbalance Response Analysis of a Spinning Rotor Mounted on a Precessing Platform

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Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 1011))

Abstract

The present work deals with analysis of a uniformly spinning shaft with a non-central disc mounted on a rotating (precessing) base, where the spin axis and the precession axis intersect at right angle. The motion of the rotor is such that it undergoes small elastic deformation superposed on rigid body rotation about a point. It is assumed that the shaft is axially and torsionally stiff and the disc has four degrees of freedom. Due to unbalance excitation, somewhat like a rotor on an orthotropic support, this rotor has also been found to undergo backwardwhirl.

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References

  1. Nelson, H.D., McVaugh, J.M.: The dynamics of rotor bearing systems using finite elements. J.Eng. Ind. 98(2), 593–600(1976)

    Article  Google Scholar 

  2. Gmur, T.C., Rodrigues, J.D.: Shaft finite elements for rotor dynamics analysis. J. Vib. Acoust. 113, 482–493(1993)

    Article  Google Scholar 

  3. Stephenson, R.W., Rouch, K.E.: Modeling rotating shafts using axisymmetric solid finite elements with matrix reduction. J. Vib. Acoust. 115(1), 484–489(1993)

    Article  Google Scholar 

  4. Nandi, A., Neogy, S.: Modeling of rotors using three-dimensional solid finite elements. J. Strain Anal. Eng. 36(4), 359–371(2001)

    Article  Google Scholar 

  5. Nandi, A., Neogy, S., Das, A.S.: Application of harmonic balance technique to finite element models of asymmetric rotors via sparse Kronecker products. J. Strain Anal. Eng. 40, 1–9(2005)

    Article  Google Scholar 

  6. Mahadevan, P., Jog, C.S., Chatterjee, A.: Modal projections for synchronous rotor whirl. P.Roy. Soc. Lond. A. Mat. 464, 1739–1760(2008)

    Article  MATH  MathSciNet  Google Scholar 

  7. Lin, F., Meng, G. Study on the dynamics of a rotor in a maneuvering aircraft. J. Vib. Acoust. 125, 324–327(2003)

    Article  Google Scholar 

  8. Genta, G.: Dynamics of Rotating Systems. Springer, Italy (2004)

    Google Scholar 

  9. Oguamanam, D.C.D., Arshad, M.: On the natural frequency of a flexible manipulator with a tip payload. J. Mech. Eng. Sci. 219(11), 1199–1205(2005)

    Google Scholar 

  10. Xiao, S., Chen, B., Du, Q.: On dynamic behavior of a cantilever with tip mass in centrifugal field. Mech. Base Des. Struc. 33, 79–98(2005)

    Article  Google Scholar 

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Correspondence to Arghya Nandi .

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© 2011 Springer Science+Business Media B.V.

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Saha, A., Ghosh, R., Nandi, A., Neogy, S. (2011). Unbalance Response Analysis of a Spinning Rotor Mounted on a Precessing Platform. In: Gupta, K. (eds) IUTAM Symposium on Emerging Trends in Rotor Dynamics. IUTAM Bookseries, vol 1011. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0020-8_12

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  • DOI: https://doi.org/10.1007/978-94-007-0020-8_12

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0019-2

  • Online ISBN: 978-94-007-0020-8

  • eBook Packages: EngineeringEngineering (R0)

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