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  • Communications and Radar  (1)
  • PACS. 47.54.+r Pattern selection; pattern formation – 61.30.-v Liquid crystals – 47.20.Ky Nonlinearity (including bifurcation theory)  (1)
  • nonlinear dynamics  (1)
  • 2000-2004  (3)
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  • 1
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    Unknown
    In:  Other Sources
    Publication Date: 2018-06-08
    Keywords: Communications and Radar
    Type: International Geological Congress; Rio de Janeiro; Brazil
    Format: text
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Nonlinear dynamics 23 (2000), S. 271-284 
    ISSN: 1573-269X
    Keywords: breakwater ; cylinder ; mooring lines ; nonlinear dynamics ; snap loads ; three-dimensional motions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The nonlinear dynamic response of a moored, rigid, horizontalcylinder is considered. Use of the structure as a breakwater or a waveenergy device is envisaged. Inertial and nonlinear damping effects ofthe external fluid are not included, i.e., a ‘dry’ analysis is carriedout. The four mooring lines are modeled as massless springs which onlyresist tension. The six coupled equations of motion of the cylinder arederived and solved numerically. Linear free vibrations are treatedfirst, followed by the nonlinear three-dimensional response to harmonicforces simulating the action of waves. Normal, longitudinal, and obliqueforces are considered, and time histories of the displacements andmooring line tensions are computed. Snap loads tend to occur in thelines when they are alternately slack and taut. The effects of theforcing direction, amplitude, and frequency are investigated. Chaoticmotions are observed in some cases, and the structure collapses forsufficiently large forcing amplitudes.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 26 (2002), S. 515-520 
    ISSN: 1434-6036
    Keywords: PACS. 47.54.+r Pattern selection; pattern formation – 61.30.-v Liquid crystals – 47.20.Ky Nonlinearity (including bifurcation theory)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We develop a characterization method of electroconvection structures in a planar nematic liquid crystal layer by a study of the electric current transport. Because the applied potential difference has a sinusoidal time dependence, we define two electric Nusselt numbers corresponding to the in-phase and out-of-phase components of the current. These Nusselt numbers are predicted theoretically using a weakly nonlinear analysis of the standard model. Our measurements of the electric current confirm that both numbers vary linearly with the distance from onset until the occurence of secondary transitions. A systematic comparison between our theoretical and experimental results, using no adjusted parameters, demonstrates moderate agreement, but discrepancies remain. Electric transport measurements during electroconvection represent a quantitative test of the standard model completely independent from optical probes. Thus, the technique described here can be a useful complement to traditional structural measurements.
    Type of Medium: Electronic Resource
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