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Periodic Motion Stability of a Dual-Disk Rotor System with Rub-Impact at Fixed Limiter

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Vibro-Impact Dynamics of Ocean Systems and Related Problems

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 44))

Abstract

The stability of periodic motions of a dual-disk rotor system, in which rub-impacts occur between a disk and a fixed limiter, is investigated. The dynamical model of the system is proposed with ordinary differential equations with two dimensional freedoms of transverse vibrations of the two rigid disks along the shaft. With the first order approximation of the piece-wisely rub-impact force, the solutions of periodic motions are deduced with harmonic expansion technique. Then, the stability and bifurcations of the system are discussed via the Floquet theory analytically. In the same range of rotating frequency, the stability analysis of the analytical solution shows good agreement with the stability and bifurcation diagrams from direct numerical integration.

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References

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Author information

Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China

    Qingkai Han & Bangchun Wen

  2. Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Leicestershire, LE11 3TU, UK

    Zhiwei Zhang

  3. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, 200237, China

    Changli Liu

Authors
  1. Qingkai Han
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  2. Zhiwei Zhang
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  3. Changli Liu
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  4. Bangchun Wen
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Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Wayne State University, 5050 Anthony Wayne Dr., Room 2119 Engineering Bldg, MI 48202, Detroit, USA

    Raouf A. Ibrahim

  2. Department of Mechanical Engineering, Loughborough, Loughborough University, LE11 3TU, Leicestershire, UK

    Vladimir I. Babitsky

  3. Department of Mechanical and Aerospace Engineering, Graduate School of Science and Engineering, Tokyo Institute of Technology, 2-12-1-I3-15, O-okayama, Meguro-ku, 152-8552, Tokyo, Japan

    Masaaki Okuma

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© 2009 Springer-Verlag Berlin Heidelberg

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Han, Q., Zhang, Z., Liu, C., Wen, B. (2009). Periodic Motion Stability of a Dual-Disk Rotor System with Rub-Impact at Fixed Limiter. In: Ibrahim, R.A., Babitsky, V.I., Okuma, M. (eds) Vibro-Impact Dynamics of Ocean Systems and Related Problems. Lecture Notes in Applied and Computational Mechanics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00629-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-00629-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00628-9

  • Online ISBN: 978-3-642-00629-6

  • eBook Packages: EngineeringEngineering (R0)

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