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REVIEW ARTICLES

Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction

[+] Author and Article Information
Marco Amabili

Dipartimento di Ingegneria Industriale, Università di Parma, Parco Area delle Scienze 181/A, 43100 Parma, Italy; marco@me.unipr.it

Michael P. Paı̈doussis

Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street W., Montreal, Québec, H3A 2K6 Canada

Appl. Mech. Rev 56(4), 349-381 (Jul 22, 2003) (33 pages) doi:10.1115/1.1565084 History: Online July 22, 2003
Copyright © 2003 by ASME
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Figures

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Shell geometry and coordinate system
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Frequency-response curves for the driven mode without companion mode participation, and with one longitudinal half-wave: –, model with 3 axisymmetric modes; [[dashed_line]], model with 2 axisymmetric modes; –⋅– model with 1 axisymmetric mode; ω1,n is the linear natural frequency of vibration (from Amabili et al. 63)
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Frequency-response curves with driven and companion modes for water-filled shell; – stable solution; [[dashed_line]], unstable solution; branch 1 is without companion mode participation; branch 2 is with companion mode participation. a) Driven mode; b) companion mode (from Amabili et al. 63)
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Frequency-response curve without companion mode for the same shell. –, water-filled shell, damping ζ=0.011; [[dashed_line]], empty shell, damping ζ=0.001 (from Amabili et al. 64)
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Map showing the character of nonlinearity versus shell geometry. Circumferentially closed steel shell and mode with 6 circumferential waves and one longitudinal half-wave. Black: softening region; white: hardening region (from Pellicano et al. 115)
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Influence of the axial pre-stress on the nonlinear free vibration of circular cylindrical shell; two-mode expansion; Pcr=critical buckling load (from Gonçalves and Del Prado 243)
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Experimental forced response of a simply supported circular cylindrical shell partially filled with water (60% of length); mode with four circumferential waves and two longitudinal half-waves (n=4,m=2); 1 mil=10−3 inches;1 cps=1 Hz (from Chu and Kaña 297)
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Static bifurcations of a simply supported, circular cylindrical shell conveying water: a) first longitudinal mode; b) second longitudinal mode (from Amabili et al. 112)
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Frequency-response curves for the driven mode without companion mode participation at different non-dimensional flow-velocities V;ωV is the linear frequency of vibration for non-dimensional flow velocity V (from Amabili et al. 113)
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Flutter bifurcations of simply supported, circular cylindrical shell in supersonic air-flow: a) first longitudinal mode; b) second longitudinal mode (from Amabili and Pellicano 344)

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