Numerical method of structural cable free vabrition and nonlinear anylysis

Abstract

    This paper presents the geometrically nonlinear analysis and free vibration analysis subjected to self-weight, pretension, and external loads. The finite element procedure is used the Lagrangian formulation associated with isoparametric interpolation polynomials. The Newton-Raphson iterative scheme with incremental load determined the static displacement of the cable structure. In addition, the free vibration of this cable structure is also considered, the natural frequency of the cable structure is also determined by the parametric finite element method. Numerical example is presented to evaluate the accuracy and reliability of this method in comparison with previously investigated results.