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  • 1
    Electronic Resource
    Electronic Resource
    Experimental Investigation of the Nonlinear Response of a Hanging Cable. Part I: Local Analysis (1997)
    Springer
    Nonlinear dynamics 14 (1997), S. 89-117 
    Details
    ISSN: 1573-269X
    Keywords: Experimental analysis ; cables ; nonlinear vibrations ; modal interaction ; bifurcations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008246504104
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  • 2
    Electronic Resource
    Electronic Resource
    Experimental Investigation of the Nonlinear Response of a Hanging Cable. Part II: Global Analysis (1997)
    Springer
    Nonlinear dynamics 14 (1997), S. 119-138 
    Details
    ISSN: 1573-269X
    Keywords: Experimental analysis ; cables ; nonlinear and chaotic vibrations ; simultaneous resonances ; response charts
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The nonlinear dynamics of the same experimental model of an internally resonant hanging elastic cable considered in Part I [1] are addressed here from the point of view of the ‘global’ system behaviour in the control parameter space. Synthetic results of systematic response measurements, made at different amplitudes of the support motion in frequency ranges including meaningful external resonance conditions, are reported and discussed. Attention is devoted to the detection of the most robust classes of motion. Quite complicated overall pictures of regular response regions with variable contributions from different planar and nonplanar cable modes are observed, as well as several regions of quasiperiodic and chaotic responses. Sample quantitative characterizations of nonregular motions are presented. Some experimental results are also observed against the background of the nonlinear dynamic phenomena exhibited by a theoretical model of a continuous cable with four-degrees-of-freedom.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008259120942
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    Paper (German National Licenses)
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