Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics

Yukio Ishida; Tsuyoshi Inoue

doi:10.1115/1.1805000

Journal of Vibration and Acoustics | Volume 126 | Issue 4 | TECHNICAL PAPERS

< Previous Article Next Article >

TECHNICAL PAPERS

Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics

Yukio Ishida and Tsuyoshi Inoue

[+] Author and Article Information

Yukio Ishida, Tsuyoshi Inoue

Department of Electronic-Mechanical Engineering, School of Engineering, Nagoya University, Nagoya, Aichi, 464-8603, Japan

J. Vib. Acoust 126(4), 476-484 (Dec 21, 2004) (9 pages) doi:10.1115/1.1805000 History: Received February 01, 2001; Revised February 01, 2004; Online December 21, 2004

Article

References

Figures

Citing Articles

Purchase this Content

$25.00

Purchase

Learn about subscription and purchase options

Your Session has timed out. Please sign back in to continue.

References

Figures

Time histories and spectra (the major critical speed): (a) Steady-state oscillation (ω=1.0); (b) Almost-periodic motion (ω=1.17)

View Large | Save Figure | Download Slide (.ppt)

Resonance curves of the rotor with discrepancy among critical speeds (the major critical speed): (a) Slight discrepancies; (b) Small discrepancies

View Large | Save Figure | Download Slide (.ppt)

Resonance curves of the Jeffcott rotor (twice the major critical speed)

View Large | Save Figure | Download Slide (.ppt)

Resonance curves of the rotor with discrepancies among critical speeds (at twice the major critical speed): (a) Slight discrepancies; (b) Time histories and spectra; (c) Small discrepancies

View Large | Save Figure | Download Slide (.ppt)

Resonance curves of the Jeffcott rotor (three times the major critical speed): (a) ε⁽¹⁾=0.1; (b) Time histories and spectra; (c) ε⁽¹⁾=0.055

View Large | Save Figure | Download Slide (.ppt)

Resonance curves of the rotor with discrepancies among critical speeds (three times the major critical speed)

View Large | Save Figure | Download Slide (.ppt)

Experimental system: (a) Setup; (b) Natural frequencies

View Large | Save Figure | Download Slide (.ppt)

Experimental results (the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 4)

View Large | Save Figure | Download Slide (.ppt)

Time histries and spectra (the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (Setup 4)

View Large | Save Figure | Download Slide (.ppt)

Experimental results (twice the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 2)

View Large | Save Figure | Download Slide (.ppt)

Time histories and Spectra (twice the major critical speed, experimental results): (a) Steady-state oscillation (1491 rpm); (b) Almost-periodic motion (1458 rpm)

View Large | Save Figure | Download Slide (.ppt)

Experimental results (three times the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 3)

View Large | Save Figure | Download Slide (.ppt)

Time histries and spectra (three times the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (setup 3)

View Large | Save Figure | Download Slide (.ppt)

Tables

Errata

Discussions

Web of Science® Times Cited: 19

Some tools below are only available to our subscribers or users with an online account.

PDF
Email

You must be logged in as an individual user to share content.

Return to: Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics

Copyright in the material you requested is held by the American Society of Mechanical Engineers (unless otherwise noted). This email ability is provided as a courtesy, and by using it you agree that you are requesting the material solely for personal, non-commercial use, and that it is subject to the American Society of Mechanical Engineers' Terms of Use. The information provided in order to email this topic will not be used to send unsolicited email, nor will it be furnished to third parties. Please refer to the American Society of Mechanical Engineers' Privacy Policy for further information.
Share
Get Citation

Ishida Y, Inoue T. Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics. ASME. J. Vib. Acoust. 2004;126(4):476-484. doi:10.1115/1.1805000.

Download citation file:

RIS (Zotero)

EndNote

BibTex

Medlars

ProCite

RefWorks

Reference Manager

© Copyright
Get Alerts

Processing your request... Please Wait.

Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics

References

Figures

Analytical model: (a) The Jeffcott rotor; (b) 2-dof inclination model

Natural frequencies: (a) The Jeffcott rotor; (b) 2-dof inclination model

Resonance curves of the Jeffcott rotor (the major critical speed) (i_p=0.0)

Time histories and spectra (the major critical speed): (a) Steady-state oscillation (ω=1.0); (b) Almost-periodic motion (ω=1.17)

Resonance curves of the rotor with discrepancy among critical speeds (the major critical speed): (a) Slight discrepancies; (b) Small discrepancies

Resonance curves of the Jeffcott rotor (twice the major critical speed)

Resonance curves of the rotor with discrepancies among critical speeds (at twice the major critical speed): (a) Slight discrepancies; (b) Time histories and spectra; (c) Small discrepancies

Resonance curves of the Jeffcott rotor (three times the major critical speed): (a) ε⁽¹⁾=0.1; (b) Time histories and spectra; (c) ε⁽¹⁾=0.055

Resonance curves of the rotor with discrepancies among critical speeds (three times the major critical speed)

Experimental system: (a) Setup; (b) Natural frequencies

Experimental results (the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 4)

Time histries and spectra (the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (Setup 4)

Experimental results (twice the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 2)

Time histories and Spectra (twice the major critical speed, experimental results): (a) Steady-state oscillation (1491 rpm); (b) Almost-periodic motion (1458 rpm)

Experimental results (three times the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 3)

Time histries and spectra (three times the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (setup 3)

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics

References

Figures

Analytical model: (a) The Jeffcott rotor; (b) 2-dof inclination model

Natural frequencies: (a) The Jeffcott rotor; (b) 2-dof inclination model

Resonance curves of the Jeffcott rotor (the major critical speed) (ip=0.0)

Time histories and spectra (the major critical speed): (a) Steady-state oscillation (ω=1.0); (b) Almost-periodic motion (ω=1.17)

Resonance curves of the rotor with discrepancy among critical speeds (the major critical speed): (a) Slight discrepancies; (b) Small discrepancies

Resonance curves of the Jeffcott rotor (twice the major critical speed)

Resonance curves of the rotor with discrepancies among critical speeds (at twice the major critical speed): (a) Slight discrepancies; (b) Time histories and spectra; (c) Small discrepancies

Resonance curves of the Jeffcott rotor (three times the major critical speed): (a) ε(1)=0.1; (b) Time histories and spectra; (c) ε(1)=0.055

Resonance curves of the rotor with discrepancies among critical speeds (three times the major critical speed)

Experimental system: (a) Setup; (b) Natural frequencies

Experimental results (the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 4)

Time histries and spectra (the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (Setup 4)

Experimental results (twice the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 2)

Time histories and Spectra (twice the major critical speed, experimental results): (a) Steady-state oscillation (1491 rpm); (b) Almost-periodic motion (1458 rpm)

Experimental results (three times the major critical speed): (a) The Jeffcott rotor (setup 1); (b) Rotor with discrepancies among critical speeds (setup 3)

Time histries and spectra (three times the major critical speed, experimental results): (a) Steady-state oscillation (Setup 1); (b) Almost-periodic motion (setup 3)

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Resonance curves of the Jeffcott rotor (the major critical speed) (i_p=0.0)

Resonance curves of the Jeffcott rotor (three times the major critical speed): (a) ε⁽¹⁾=0.1; (b) Time histories and spectra; (c) ε⁽¹⁾=0.055