Skip to main content
SpringerLink
Log in

Stochastic Bifurcation and Control of the Nonlinear Axial Compression System

  • Conference paper
Information and Automation (ISIA 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 86))

Included in the following conference series:

  • 1168 Accesses

Abstract

Stochastic response and control of nonlinear axial compression systems are discussed in the paper. Based on equivalent method of nonlinear differential equation, the paper gives a deep theoretical analysis to random response of nonlinear axial compression systems and builds the nonlinear model of the system, as well as achieves approximate analysis solution of the system’s response; and the unstable behaviors—surge and rotating-stall in the system are researched by numerical simulating. It theoretically provides possibility to achieve more reliable stability control of nonlinear axial compression systems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Caughcy, T.K.: On the response of nonlinear oscillators to stochastic excitation. Prob. Eng. Mech., 2–4 (1986)

    Google Scholar 

  2. Zhu, W.Q., Yu, J.S.: The equivalent nonlinear system method. J. Sound Vib. 7, 385–395 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  3. Moore, F.K., Greitzer, E.M.: A Theory of Post-Stall Transients in Axial Compression Systems, Part I-D evelopment of Equations, and Part II-Application. ASME J. of Engineering for Gas Turbines and Power 108 (1986)

    Google Scholar 

  4. Piccardi, C.: Bifurcaton Analysis via Harmonic Balance in Periodic Systems with Feedback Structure. Int. J. Control 62(6), 57–65 (1995)

    Article  MathSciNet  Google Scholar 

  5. Guckenheimer, J., Holmes, P.: Nonlinear oscillations dynamical systems, and bifurcation of vector fields. Springer, New York (1991)

    MATH  Google Scholar 

  6. Zhu, w.: Random Vibration. Science Press, Beijing (1998) (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Math. and Phys., Science College, Air Force Engineering University, 710051, Xi’an, ShaanXi, China

    Hong Yao, Tao Deng & Guang-Jun Zhang

  2. Institute of Software Tech., Northeast University, 110004, Shenyang, Liaoning

    Bi-Yue Li

Authors
  1. Hong Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tao Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bi-Yue Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Guang-Jun Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Wuhan Institute of Technology, Wuhan, Hubei, China

    Luo Qi

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yao, H., Deng, T., Li, BY., Zhang, GJ. (2011). Stochastic Bifurcation and Control of the Nonlinear Axial Compression System. In: Qi, L. (eds) Information and Automation. ISIA 2010. Communications in Computer and Information Science, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19853-3_79

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-19853-3_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19852-6

  • Online ISBN: 978-3-642-19853-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation