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.
NON-LINEAR DYNAMIC ANALYSIS OF THE TWO-DIMENSIONAL SIMPLIFIED MODEL OF AN ELASTIC CABLE
The non-linear behavior of an elastic cable subjected to a harmonic excitation is investigated in this paper. Using Garlerkin's method and method of multiple scales, the discrete dynamical equations and a set of first order non-linear differential equations are obtained. A numerical simulation is used to obtain the steady state response and stable solutions. Finally the coupled dynamic features between the out-planar pendulation and the in-planar vibration of an elastic cable are analyzed.
Prevalence of Headache Within a College Student Population: A Preliminary Analysis
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