Stochastic excitation of suspended cables involving three simultaneous internal resonances using Monte Carlo simulation

DOI10.1016/S0045-7825(98)00146-7zbMath0976.74522OpenAlexW2014811404WikidataQ127725394 ScholiaQ127725394MaRDI QIDQ1965215

Yanyan Li

Publication date: 19 December 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00146-7

zbMATH Keywords

autocorrelation functionsstochastic bifurcationdouble-precision Adam-Moulton algorithmfour normal modesinternal resonance conditionsmean squares power spectra

Mathematics Subject Classification ID

Related Items (4)

Multimode Interactions in Suspended Cables ⋮ PARAMETRIC VIBRATION OF STAY CABLES UNDER AXIAL NARROW-BAND STOCHASTIC EXCITATION ⋮ Modeling and vibratory characteristics of a mass-carrying cable system with multiple pulley supports in span range ⋮ Response of a suspended cable to narrow-band random excitation with peaked P.S.D.

Cites Work

• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Planar nonlinear free vibrations of an elastic cable
• Modal interactions in the non-linear response of elastic cables under parametric/external excitation
• Multiple internal resonance in suspended cables under random in-plane loading
• Planar and non-planar nonlinear dynamics of suspended cables under random in-plane loading. I: Single internal resonance
• Non-linear response of a string to random excitation
• Non-linear string random vibration
• Random Excitation of a Loaded Nonlinear String
• Analysis of a randomly excited non-linear stretched string
• Parametric oscillations of a non-linear string
• Non-linear resonance in strings under narrow band random excitation, part I: Planar response and stability

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