FINITE ELEMENT ANALYSIS FOR NONLINEAR VIBRATION OF CABLE-BEAM STRUCTURE
In order to analyze the nonlinear vibration including parametric vibration of a cable-beam structure accurately,a cable element and a procedure for removing the self-weight term are proposed for the parametric vibration finite element analysis of cables.The extended Rayleigh damping considering element damping for the damping matrix is also proposed for considering the damping of the beam and the relatively small damping of the cable.Those methods are implemented in the self-coded program NL_Beam3D,to consider the interaction between a stay cable and a beam.Through the case of a cable-beam structure experiment by Fujino in 1993,the parametric vibration in the secondary or principal unstable regions can be modeled exactly using the proposed methods.