Nonlinear Vibration Caused by Beam of Cable Structures
The nonlinear vibrations of cables excited by thevibration of beam were investigated. At first, a simpleconnection condition and boundary condition of thecable-stayed beam structure were applied. Thenonlinear equations of motion of the cable-stayedbeam structure were derived, and the static sag of thecable as well as the geometric nonlinearity wasconsidered, moreover, Appling the multi-scaleperturbation method, the nonlinear vibrations ofcables were studied, the nonlinear vibration responseof cables was analyzed by the Runge-Kutta numericalmethod to obtain the frequency-response curves. Theresults indicate that the beam small scale vibration canstimulate the cable the large scale movement whenlocal oscillation frequency of beams is in the certainregion, it affects the cable-stayed beam structure thestability and the security in the Engineering. For thesystem in which the damping and the frequency ratiowas given, the enough low excitation amplitudes canavoid the system resonances.
Rain-wind induced vibration of cables of cable-stayed bridges
Abstract This paper provides the exciting factors and mechanism of rain-wind induced vibration of polyethylene-lapped cable of cable-stayed bridges and the aerodynamic countermeasure to suppress the vibration.
On non-linear free vibrations of an elastic cable
Abstract The effect of non-linear terms in the equations of motion on the first normal modes of the oscillations of an elastic flexible cable under the action of gravity is studied. The non-linear equations are derived and approximate solutions are found by the Ritz-Galerkin method. A numerical example is given and the significance of the results is discussed with regard to the galloping oscillations of overhead transmission lines.