The response and natural frequencies for the linear and nonlinear vibrations of rotating disks are given analytically through the new plate theory proposed by Luo in 1999. The results for the nonlinear vibration can reduce to the ones for the linear vibration when the nonlinear effects vanish and for the von Karman model when the nonlinear effects are modified. They are applicable to disks experiencing large-amplitude displacement or initial flatness and waviness. The natural frequencies for symmetric and asymmetric responses of a 3.5-inch diameter computer memory disk as an example are predicted through the linear theory, the von Karman theory and the new plate theory. The hardening of rotating disks occurs when nodal-diameter numbers are small and the softening of rotating disks occurs when nodal-diameter numbers become larger. The critical speeds of the softening disks decrease with increasing deflection amplitudes. [S0739-3717(00)02004-3]
Skip Nav Destination
Article navigation
October 2000
Technical Papers
Nonlinear Vibration of Rotating Thin Disks
Albert C. J. Luo, Assistant Professor, Mem. ASME,,
Albert C. J. Luo, Assistant Professor, Mem. ASME,
Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62034-1805
Search for other works by this author on:
C. D. Mote,, Jr., Glen L. Martin Professor of Engineering, Honorary Mem. ASME,
C. D. Mote,, Jr., Glen L. Martin Professor of Engineering, Honorary Mem. ASME,
Office of the President, Main Administration Building, University of Maryland, College Park, MD 20742
Search for other works by this author on:
Albert C. J. Luo, Assistant Professor, Mem. ASME,
Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62034-1805
C. D. Mote,, Jr., Glen L. Martin Professor of Engineering, Honorary Mem. ASME,
Office of the President, Main Administration Building, University of Maryland, College Park, MD 20742
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 1999; revised May 2000. Associate Technical Editor: C. Pierre.
J. Vib. Acoust. Oct 2000, 122(4): 376-383 (8 pages)
Published Online: May 1, 2000
Article history
Received:
February 1, 1999
Revised:
May 1, 2000
Citation
Luo, A. C. J., and Mote, , C. D., Jr. (May 1, 2000). "Nonlinear Vibration of Rotating Thin Disks ." ASME. J. Vib. Acoust. October 2000; 122(4): 376–383. https://doi.org/10.1115/1.1310363
Download citation file:
Get Email Alerts
Boundary-Element Analysis of the Noise Scattering for Urban Aerial Mobility Vehicles: Solver Development and Assessment
J. Vib. Acoust (October 2024)
Related Articles
Rocking Vibration of Rotating Disk and Spindle Systems With Asymmetric Bearings
J. Appl. Mech (March,2003)
A Note on the Post-Flutter Dynamics of a Rotating Disk
J. Appl. Mech (November,2002)
In-Plane Vibrations of a Thin Rotating Disk (Deshpande, M., and Mote, C.D., Jr., 2003, ASME J. Vibr. Acoust., 125 , No. 1, pp. 68–72)
J. Vib. Acoust (April,2004)
In-Plane Vibrations of a Thin Rotating Disk
J. Vib. Acoust (January,2003)
Related Proceedings Papers
Related Chapters
Polar, Bode, and APHT Plots
Fundamentals of Rotating Machinery Diagnostics
Motion Analysis for Multilayer Sheets
Ultrasonic Welding of Lithium-Ion Batteries
Experimental and Statistical Study on the Noise Generated by Surface Defects of Bearing Rolling Bodies
Bearing and Transmission Steels Technology