Strong nonlinear modal interaction in shallow suspended cables with oscillating ends

DOI10.1016/S0960-0779(96)00115-4zbMath0973.74559OpenAlexW2087138287WikidataQ127866072 ScholiaQ127866072MaRDI QIDQ1807532

Raouf A. Ibrahim, Valery N. Pilipchuk

Publication date: 29 November 2001

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00115-4

zbMATH Keywords

configuration spaceLagrange functionsuspended cablesresonance regionstretching natural frequencystretching-bending interactions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Strings (74K05)

Related Items (5)

Multimode Interactions in Suspended Cables ⋮ Dynamic modeling and in-plane \(1:1:1\) internal resonance analysis of cable-stayed bridge ⋮ Stability analyses for axially moving strings in nonlinear free and aerodynamically excited vibrations ⋮ Strong nonlinear modal interaction in shallow suspended cables with oscillating ends ⋮ Analytical solutions for resonant response of suspended cables subjected to external excitation

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• Strong nonlinear modal interaction in shallow suspended cables with oscillating ends
• Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections

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