Planar nonlinear free vibrations of an elastic cable
From MaRDI portal
Publication:787745
DOI10.1016/0020-7462(84)90017-9zbMath0529.73056OpenAlexW1982565715MaRDI QIDQ787745
Giuseppe Rega, Angelo Luongo, Fabrizio Vestroni
Publication date: 1984
Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7462(84)90017-9
perturbation methodapproximate solutionGalerkin procedurefree motioncable planar motioncontinuum nonlinear equationsdeformed initial configurationdifferent values of cable propertiesheavy elastic cablemode techniquenondimensional resultsordinary equationvibrations in first symmetric mode
Related Items (37)
Natural oscillations of yarn balloons in ring spinning ⋮ Dynamics of traveling, inextensible cables ⋮ Multimode Interactions in Suspended Cables ⋮ On the contribution of Angelo Luongo to mechanics: in honor of his 60th birthday ⋮ Optimal feedback control of the deployment of a tethered subsatellite subject to perturbations ⋮ Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. I: Theoretical formulation and model validation ⋮ Boundary control for flexible mechanical systems with input dead-zone ⋮ Modal coupling in the free nonplanar finite motion of an elastic cable ⋮ Cable's mode interactions under vertical support motions: boundary resonant modulation ⋮ Vibration control for a flexible satellite system with output constraints ⋮ Dynamic modeling and in-plane \(1:1:1\) internal resonance analysis of cable-stayed bridge ⋮ Elastic equilibria of translating cables ⋮ Modeling, dynamics, and parametric studies of a multi-cable-stayed beam model ⋮ Planar nonlinear galloping of iced transmission lines under forced self-excitation conditions ⋮ Vibration control of a flexible marine riser with joint angle constraint ⋮ Planar nonlinear dynamic behavior of a cable-stayed bridge under excitation of tower motion ⋮ Revisited modeling and nonlinear oscillation behaviors of multi-segment damaged suspended cables in thermal environments ⋮ 1:1 internal resonance in a two d.o.f. complete system: a comprehensive analysis and its possible exploitation for design ⋮ Modelling and transient planar dynamics of suspended cables with moving mass ⋮ Stochastic excitation of suspended cables involving three simultaneous internal resonances using Monte Carlo simulation ⋮ Modeling and parameter analysis of in-plane dynamics of a suspension bridge with transfer matrix method ⋮ Three-to-one internal resonance analysis for a suspension bridge with spatial cable through a continuum model ⋮ Modeling of the multi-cable supported arch and a novel technique to investigate the natural vibratory characteristics ⋮ Oscillation periods of electric transmission lines with and without effect of bending deformation energy ⋮ Dynamic analysis of a non-conservative band-wheel system with a moving boundary. I: Mathematical modelling ⋮ Nonlinear free vibrations of coupled spans of overhead transmission lines ⋮ NUMERICAL ANALYSIS OF THE NON-LINEAR DYNAMIC BEHAVIOUR OF SUSPENDED CABLES UNDER TURBULENT WIND EXCITATION ⋮ Modeling and vibratory characteristics of a mass-carrying cable system with multiple pulley supports in span range ⋮ 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 ⋮ Boundary output feedback control of a flexible string system with input saturation ⋮ Nonlinear modeling of cables with flexural stiffness ⋮ On the dynamics of wires ⋮ Linear and nonlinear dynamics of suspended cable considering bending stiffness ⋮ An exact, closed-form solution for equilibrium of traveling, sagged, elastic cables under uniformly distributed loading ⋮ Analytical solutions for resonant response of suspended cables subjected to external excitation ⋮ Asymptotic behavior of coupled linear systems modeling suspension bridges
This page was built for publication: Planar nonlinear free vibrations of an elastic cable