Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: theoretical formulation and model validation

Srinil, N. and Rega, G. and Chucheepsakul, S. (2007) Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: theoretical formulation and model validation. Nonlinear Dynamics, 48 (3). pp. 231-252. ISSN 0924-090X

[img]
Preview
PDF (strathprints018553.pdf)
Download (2755Kb) | Preview

    Abstract

    This paper is first of the two papers dealing with analytical investigation of resonant multimodal dynamics due to 2:1 internal resonances in the finite-amplitude free vibrations of horizontal/inclined cables. Part I deals with theoretical formulation and validation of the general cable model. Approximate nonlinear partial differential equations of 3-D coupled motion of small sagged cables - which account for both spatio-temporal variation of nonlinear dynamic tension and system asymmetry due to inclined sagged configurations - are presented. A multidimensional Galerkin expansion of the solution of nonplanar/planar motion is performed, yielding a complete set of system quadratic/cubic coefficients. With the aim of parametrically studying the behavior of horizontal/inclined cables in Part II [25], a second-order asymptotic analysis under planar 2:1 resonance is accomplished by the method of multiple scales. On accounting for higher-order effects of quadratic/cubic nonlinearities, approximate closedform solutions of nonlinear amplitudes, frequencies and dynamic configurations of resonant nonlinear normal modes reveal the dependence of cable response on resonant/nonresonant modal contributions. Depending on simplifying kinematic modeling and assigned system parameters, approximate horizontal/inclined cable models are thoroughly validated by numerically evaluating statics and non-planar/planar linear/non-linear dynamics against those of the exact model. Moreover, the modal coupling role and contribution of system longitudinal dynamics are discussed for horizontal cables, showing some meaningful effects due to kinematic condensation.

    Item type: Article
    ID code: 18553
    Keywords: Exact/approximate model, Horizontal/inclined sagged cable, Higher-order effects, Internal resonance, Longitudinal dynamics Nonlinear free vibration, Engineering (General). Civil engineering (General)
    Subjects: Technology > Engineering (General). Civil engineering (General)
    Department: Faculty of Engineering > Naval Architecture and Marine Engineering
    Related URLs:
    Depositing user: Dr Narakorn Srinil
    Date Deposited: 05 Apr 2010 11:22
    Last modified: 06 Oct 2012 08:41
    URI: http://strathprints.strath.ac.uk/id/eprint/18553

    Actions (login required)

    View Item

    Fulltext Downloads: