Statics of shallow inclined elastic cables under general vertical loads: a perturbation approach

DOI10.3390/math6020024zbMath1458.74102OpenAlexW2792940438MaRDI QIDQ1657276

Daniele Zulli, Angelo Luongo

Publication date: 13 August 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6020024

zbMATH Keywords

asymptotic solutioncompatibility conditionelastic catenaryfunicular equation

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Thin bodies, structures (74K99)

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Semi-analytical approach for the study of linear static behaviour and buckling of shells with single constant curvature ⋮ Nonlinear energy sink to control elastic strings: the internal resonance case ⋮ Buckling of tower buildings on elastic foundation under compressive tip forces and self-weight ⋮ Large deformations of Timoshenko and Euler beams under distributed load ⋮ A continuum approach to the nonlinear in-plane galloping of shallow flexible cables ⋮ Variational asymptotic homogenization of beam-like square lattice structures ⋮ A discrete formulation of Kirchhoff rods in large-motion dynamics ⋮ Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass ⋮ A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling

Cites Work

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• Nonlinear energy sink to control elastic strings: the internal resonance case
• Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. I: Theoretical formulation and model validation
• Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. II: Internal resonance activation, reduced-order models and nonlinear normal modes
• Large amplitude three-dimensional free vibrations of inclined sagged elastic cables
• Nonlinear energy sink to control vibrations of an internally nonresonant elastic string
• Combined parametrical transverse and in-plane harmonic response of an inclined stretched string
• THE DYNAMICS OF TAUT INCLINED CABLES
• Linear and Nonlinear Structural Mechanics

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