Modal Analysis of Ballooning Strings With Small Curvature

[+] Author and Article Information
R. Fan, S. K. Singh, C. D. Rahn

Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802

J. Appl. Mech 68(2), 332-338 (Aug 29, 2000) (7 pages) doi:10.1115/1.1355776 History: Received September 07, 1999; Revised August 29, 2000
Copyright © 2001 by ASME
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Schematic diagram of a ballooning string system
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The dependence on the nondimensional rotation speed ω on the nondimensional balloon height h and eyelet length d. Theoretical solid (d=0.01), dashed (d=0.038) and dash-dotted (d=0.1) curves and experimental data (* ) are shown.
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Theoretical (dash-dotted and experimental data (* ) and best fit line (solid) steady-state in-plane displacement: (a) ω=0.6π,d=0.038,γ=400; (b) ω=0.9π,d=0.038,γ=400. Experimental data correspond to circled points in Fig. 3.
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Theoretical (solid) and experimental (* ) natural frequencies (d=0.038,γ=400). Mode shapes (1st solid, 2nd dash-dotted, 3rd dashed): (a) ω=0.3π, (b) ω=0.6π, (c) ω=0.9π.
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Theoretical (dash-dotted) and experimental (solid) mode shapes (ω=0.9π,d=0.038,γ=400): (a) first mode in-plane, (b) second mode in-plane, (c) first mode out-of-plane, (d) second mode out-of-plane. Experimental mode shapes correspond to the circled points in Fig. 5.




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