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TECHNICAL PAPERS

On the Steady Motions of a Rotating Elastic Rod

[+] Author and Article Information
N. M. Kinkaid, O. M. O’Reilly

Department of Mechanical Engineering, University of Berkeley, Berkeley, CA 94720-1740

J. S. Turcotte

AFRL/VAS, Building 45, 2130 Eighth Street, Suite 1, Wright-Patterson AFB, OH 45433-7765

J. Appl. Mech 68(5), 766-771 (Jan 02, 2001) (6 pages) doi:10.1115/1.1381003 History: Received August 16, 2000; Revised January 02, 2001
Copyright © 2001 by ASME
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References

Figures

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A rod-like body rotating with an angular speed Ω about the E1-axis. The angle θ of rotation is such that θ̇=Ω.
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The reference configuration of the rod-like body
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The dimensionless axial displacement u(s) and lateral strains γ11(s) and γ22(s) for various values of ω: (i), ω2=0.5; (ii), ω2=1.0; (iii), ω2=1.5; (iv), ω2=2.0, and (v), ω2=2.64. For these results, ν=0.3 and a rod whose length is ten times its height and width was considered: h/L=w/L=0.1.
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The dimensionless lateral strain γ22(s) for various values of ω: (i), ω2=0.5; (ii), ω2=1.0; (iii), ω2=1.5; (iv), ω2=2.0, and (v), ω2=2.64. For these results, ν=0.3 and a rectangular cross section was considered: h/L=0.1 and w/L=0.05.
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The dimensionless axial displacement u(s) predicted by the uniaxial model (18) for various values of ω: (i), ω2=0.5; (ii), ω2=1.0; (iii), ω2=2.5; (iv), ω2=5.0; (v) ω2=10.0; and (vi), ω2=15.0.
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The dimensionless displacement Δu(s) for various values of ω: (i), ω2=0.5; (ii), ω2=1.0; (iii), ω2=1.5; (iv), ω2=2.0, and (v), ω2=2.64. For these results, ν=0.3 and a square cross section was considered: h/L=w/L=0.1.

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