engleski

Numerical Investigation of Cable Parametric Vibrations

It is well known that parametrically induced vibrations can be a considerable problem of cable lightweight structures. The scope of this paper is to investigate adequacy of applying different types of FEM elements for dynamic instability problem investigation of cable structures. We considered parametric vibrations of inclined cable structures induced by the vertical harmonic support excitation and investigated two types of nonlinear elements for numerical model. The first one of these two types is the axial element, most used for engineering design of cable structures, and the second one is more complicated elastic catenary element based on analytical solution functions. We explored which of the elements mentioned above is more suitable to compute a nonlinear dynamic analysis of cable structures. The numerical calculation is carried out by the program language “Wolfram Mathematica 8.0” with imple-mented Predictor-Corrector method, and cross check compliance with known solutions.

cable structures; parametric vibration; nonlinear analysis

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