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Experimental Investigation of the Nonlinear Response of a Hanging Cable. Part I: Local Analysis

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Abstract

An experimental model of an elastic cable carrying eight concentrated masses and hanging at in-phase or out-of-phase vertically moving supports is considered. The system parameters are adjusted to approximately realize multiple 1:1 and 2:1 internal resonance conditions involving planar and nonplanar, symmetric and antisymmetric modes. Response measurements are made in various frequency ranges including meaningful external resonance conditions. A ‘local’ analysis of the system response is made on the basis of numerous amplitude-frequency and amplitude-forcing plots obtained in different ranges of the control parameter space. Attention is mainly devoted to the detection of the main features of the regular motions exhibited by the system, and to the analysis of the relevant phenomena of nonlinear modal interaction, competition, and local bifurcation between planar and nonplanar regular responses. The resulting picture appears very rich and varied.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, via A. Gramsci 53, 00197, Roma, Italy

    G. Rega

  2. Dipartimento di Ingegneria delle Strutture, Acque e Terreno, Università dell'Aquila, 67040, Monteluco Roio, L'Aquila, Italy

    R. Alaggio & F. Benedettini

Authors
  1. G. Rega
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  2. R. Alaggio
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  3. F. Benedettini
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Rega, G., Alaggio, R. & Benedettini, F. Experimental Investigation of the Nonlinear Response of a Hanging Cable. Part I: Local Analysis. Nonlinear Dynamics 14, 89–117 (1997). https://doi.org/10.1023/A:1008246504104

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