Journal ArticleDOI
Non-linear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions
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TLDR
In this article, a four-degree-of-freedom model able to capture the main phenomena which are likely to occur in the nonplanar finite dynamics of an elastic suspended cable subjected to external forcings and support motions is developed from the continuum equations.About:
This article is published in Journal of Sound and Vibration.The article was published on 1995-05-18. It has received 147 citations till now. The article focuses on the topics: Frequency response & Equations of motion.read more
Citations
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Nonlinear vibrations of suspended cables—Part I: Modeling and analysis
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Nonlinear vibrations of suspended cables—Part II: Deterministic phenomena
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Multiple resonances in suspended cables: direct versus reduced-order models
TL;DR: In this article, two analytical approaches were applied to construct asymptotic models for the non-linear three-dimensional responses of an elastic suspended shallow cable to a harmonic excitation.
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Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: Theoretical formulation and model validation
TL;DR: In this paper, an analytical investigation of resonant multi-modal dynamics due to 2:1 internal resonances in the finite-amplitude free vibrations of horizontal/inclined cables is presented.
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Resonant non-linear normal modes. Part II: activation/orthogonality conditions for shallow structural systems
Walter Lacarbonara,Giuseppe Rega +1 more
TL;DR: In this article, a detailed picture of activation/orthogonality of bimodal interactions in buckled beams, shallow arches, and suspended cables is presented, and a detailed analysis of the activation and activation of these modes is given.