Modal coupling in the free nonplanar finite motion of an elastic cable

DOI10.1007/BF01556315zbMath0647.73031MaRDI QIDQ1104802

F. Benedettini, Fabrizio Vestroni, Giuseppe Rega

Publication date: 1986

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

free oscillationssmall oscillationsdynamic equilibrium equationsnonlinear couplingfinite motionsin-plane motionout-of-plane oscillationsperturbational expansion of order threesuspended elastic cabletwo degree-of-freedom model

Mathematics Subject Classification ID

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

Related Items (9)

Multimode Interactions in Suspended Cables ⋮ Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. I: Theoretical formulation and model validation ⋮ Cable's mode interactions under vertical support motions: boundary resonant modulation ⋮ Oscillation periods of electric transmission lines with and without effect of bending deformation energy ⋮ NUMERICAL ANALYSIS OF THE NON-LINEAR DYNAMIC BEHAVIOUR OF SUSPENDED CABLES UNDER TURBULENT WIND EXCITATION ⋮ Analysis of stability and modal interaction for multi-modal coupling galloping of iced transmission lines ⋮ Strong nonlinear modal interaction in shallow suspended cables with oscillating ends ⋮ On the dynamics of wires ⋮ Two-to-one internal resonance of an inclined marine riser under harmonic excitations

Cites Work

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• On the non-linear vibration of elastic bars

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