Validity and accuracy of solutions for nonlinear vibration analyses of suspended cables with one-to-one internal resonance

DOI10.1016/j.nonrwa.2009.09.006zbMath1194.35251OpenAlexW2009777660MaRDI QIDQ984543

Akira Abe

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.09.006

zbMATH Keywords

method of multiple scalesinternal resonanceshooting methodnonlinear vibrationsuspended cablequadratic and cubic nonlinearitiesGalerkin's procedure

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Two perturbation formulations of the nonlinear dynamics of a cable excited by a boundary motion ⋮ Accuracy improvement of the method of multiple scales for nonlinear vibration analyses of continuous systems with quadratic and cubic nonlinearities ⋮ Modeling and vibratory characteristics of a mass-carrying cable system with multiple pulley supports in span range

Uses Software

• Mathematica

Cites Work

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• The effects of kinematic condensation on internally resonant forced vibrations of shallow horizontal cables
• On methods for continuous systems with quadratic, cubic and quartic nonlinearities
• 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
• Resonant non-linear normal modes. I: Analytical treatment for structural one-dimensional systems
• On non-linear vibration analyses of continuous systems with quadratic and cubic non-linearities
• Reduced-order models of weakly nonlinear spatially continuous systems
• Experimental validation of reduction methods for nonlinear vibrations of distributed-parameter systems: Analysis of a buckled beam
• On the discretization of distributed-parameter systems with quadratic and cubic nonlinearities
• Two-mode response of simply supported, rectangular laminated plates
• Multiple resonances in suspended cables: direct versus reduced-order models
• One-to-One Internal Resonance of Symmetric Crossply Laminated Shallow Shells
• Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells
• DIRECT TREATMENT AND DISCRETIZATIONS OF NON-LINEAR SPATIALLY CONTINUOUS SYSTEMS

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