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TECHNICAL PAPERS

Nonlinear Vibration of Rotating Thin Disks

[+] Author and Article Information
Albert C. J. Luo

Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62034-1805

C. D. Mote

Office of the President, Main Administration Building, University of Maryland, College Park, MD 20742

J. Vib. Acoust 122(4), 376-383 (May 01, 2000) (8 pages) doi:10.1115/1.1310363 History: Received February 01, 1999; Revised May 01, 2000
Copyright © 2000 by ASME
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References

Figures

Grahic Jump Location
Asymmetric, rotating disk with clamped-free boundaries
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Natural frequency of the computer disk predicted through the linear analysis (a=15.5 mm, b=43 mm, h=0.775 mm, ρ0=3641kg/m3,E=69 GPa, ν=0.33)
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Natural frequency (s=0) of the disk. As=f sc2+f ss2 is modal amplitude. Two nonlinear theories give the identical predictions. Two nonlinear models at As=0 reduce to the linear model. (a=15.5 mm, b=43 mm, h=0.775 mm, ρ0=3641kg/m3,E=69 GPa, ν=0.33).
Grahic Jump Location
Natural frequency (s=3) of the hardening disk. As=f sc2+f ss2 is modal amplitude. The solid and dash lines denote this theory and the von Karman theory. Two nonlinear models at As=0 reduce to the linear model. ΩcrLcrK and ΩcrN denote critical speeds predicted through the linear theory, the von Karman theory and the new theory, respectively. (a=15.5 mm, b=43 mm, h=0.775 mm, ρ0=3641kg/m3,E=69 GPa, ν=0.33).
Grahic Jump Location
Natural frequency (s=4) of the hardening disk. As=f sc2+f ss2 is modal amplitude. The solid and dash lines denote this theory and the von Karman theory. Two nonlinear models at As=0 reduce to the linear model. ΩcrLcrK and ΩcrN denote critical speeds predicted through the linear theory, the von Karman theory and the new theory, respectively. (a=15.5 mm, b=43 mm, h=0.775 mm, ρ0=3641kg/m3,E=69 GPa, ν=0.33).
Grahic Jump Location
Natural frequency (s=6) of the softening disk. As=f sc2+f ss2 is modal amplitude. The solid and dash lines denote this theory and the von Karman theory. Two nonlinear models at As=0 reduce to the linear model. ΩcrLcrK and ΩcrN denote critical speeds predicted through the linear theory, the von Karman theory and the new theory, respectively. (a=15.5 mm, b=43 mm, h=0.775 mm, ρ0=3641kg/m3,E=69 GPa, ν=0.33).

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