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Space-time numerical simulation and validation of analytical predictions for nonlinear forced dynamics of suspended cables

Srinil, N. and Rega, G. (2008) Space-time numerical simulation and validation of analytical predictions for nonlinear forced dynamics of suspended cables. Journal of Sound and Vibration, 315 (3). pp. 394-413. ISSN 0022-460X

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    Abstract

    This paper presents space-time numerical simulation and validation of analytical predictions for the finite-amplitude forced dynamics of suspended cables. The main goal is to complement analytical and numerical solutions, accomplishing overall quantitative/qualitative comparisons of nonlinear response characteristics. By relying on an approximate, kinematically non-condensed, planar modeling, a simply supported horizontal cable subject to a primary external resonance and a 1:1, or 1:1 vs. 2:1, internal resonance is analyzed. To obtain analytical solution, a second-order multiple scales approach is applied to a complete eigenfunction-based series of nonlinear ordinary-differential equations of cable damped forced motion. Accounting for both quadratic/cubic geometric nonlinearities and multiple modal contributions, local scenarios of cable uncoupled/coupled responses and associated stability are predicted, based on chosen reduced-order models. As a cross-checking tool, numerical simulation of the associated nonlinear partial-differential equations describing the dynamics of the actual infinite-dimensional system is carried out using a finite difference technique employing a hybrid explicit-implicit integration scheme. Based on system control parameters and initial conditions, cable amplitude, displacement and tension responses are numerically assessed, thoroughly validating the analytically predicted solutions as regards the actual existence, the meaningful role and the predominating internal resonance of coexisting/competing dynamics. Some methodological aspects are noticed, along with a discussion on the kinematically approximate versus exact, as well as planar versus non-planar, cable modeling.

    Item type: Article
    ID code: 18550
    Keywords: suspended cable, direct numerical simulation, analytical prediction, reduced-order model, internal resonance, nonlinear forced vibration, Naval architecture. Shipbuilding. Marine engineering, Engineering (General). Civil engineering (General), Mechanics of Materials, Mechanical Engineering, Acoustics and Ultrasonics, Condensed Matter Physics
    Subjects: Naval Science > Naval architecture. Shipbuilding. Marine engineering
    Technology > Engineering (General). Civil engineering (General)
    Department: Faculty of Engineering > Naval Architecture and Marine Engineering
    Related URLs:
      Depositing user: Dr Narakorn Srinil
      Date Deposited: 08 Apr 2010 10:19
      Last modified: 05 Sep 2014 13:17
      URI: http://strathprints.strath.ac.uk/id/eprint/18550

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