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REVIEW ARTICLES

Nonlinear vibrations of suspended cables—Part I: Modeling and analysis

[+] Author and Article Information
Giuseppe Rega

Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza,” Rome, Italygiuseppe.rega@uniroma1.it

Appl. Mech. Rev 57(6), 443-478 (Feb 16, 2005) (36 pages) doi:10.1115/1.1777224 History: Online February 16, 2005
Copyright © 2004 by ASME
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Figures

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Spectrum of natural frequencies of theoretical cable/mass model, and experimental planar mode shapes 192
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Quasiperiodic motion: a) time laws, b) power spectra, c) autocorrelation functions, d) orbit shapes (upper) and probability density functions (lower), of the vertical (upper) and horizontal (lower) displacement components of one observed mass 193
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Chaotic motion: a) time laws, b) power spectra, c) autocorrelation functions, d) orbit shapes (upper) and probability density functions (lower), of the vertical (upper) and horizontal (lower) displacement components of one observed mass 193
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Quasiperiodic motion: correlation dimension a–c), Lyapunov exponent d), and Poincaré section e) 193
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Chaotic motion: correlation dimension a–c), Lyapunov exponent d), and Poincaré section e) 193
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Cable configurations and displacement components in a global reference system
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Possible forms of the first symmetric vertical modal component. a) λ2<4π2;b) λ2=4π2;c) λ2>4π213.
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Spectrum of natural frequencies of parabolic cable. Dashed (horizontal continuous) lines denote frequencies of out-of-plane symmetric (in-plane and out-of-plane antisymmetric) modes.
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Cable potentials a) and static equilibrium configurations b)
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Schematic layout of experimental apparatus

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