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Multiple internal resonance in suspended cables under random in-plane loading

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Publication:1362210
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DOI10.1023/A:1008232209273zbMath0890.73042MaRDI QIDQ1362210

O. Diekmann

Publication date: 3 August 1997

Published in: Nonlinear Dynamics (Search for Journal in Brave)


zbMATH Keywords

Monte Carlo simulationsstochastic bifurcationFokker-Planck-Kolmogorov equationsnon-Gaussian closureGaussian closurein-plane modesmixed-mode interactionout-of-plane modestime history records


Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Random vibrations in dynamical problems in solid mechanics (74H50) Strings (74K05)


Related Items (4)

Multimode Interactions in Suspended Cables ⋮ Stochastic excitation of suspended cables involving three simultaneous internal resonances using Monte Carlo simulation ⋮ Linear and nonlinear dynamics of suspended cable considering bending stiffness ⋮ Estimation of time-variant system reliability of nonlinear randomly excited systems based on the Girsanov transformation with state-dependent controls







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