Nonlinear Dynamic of cable-stayed-beam by a parametric analytical model

The governing equations for dynamic transverse motion of a cable-stayed beam are obtained by means of a classical variational formulation. The analytical model permits a parametric investigation of lin- ear and non-linear behaviour in a family of cable-stayed beam systems. Analytical eigensolutions of the linearized equations are used to investigate how the mechanical characteristics in��uence the occur- rence of global, local and coupled modes. The exact eigenfunctions are assumed to describe the forced harmonic motion in the neighbourhood of a selected frequency. The frequency–amplitude relationship, obtained by the use of the multiple scale method, permits the description of softening and harden- ing behaviour in the global, local and coupled classes of motion. Copyright ? 2002 John Wiley & Sons, Ltd.