Abstract
In this paper, the continuation technique is used to investigate the non-linear response of a suspended cable under harmonic excitation. A modified iteration procedure is applied to the nonlinear oscillator containing a quadratic term. From the formulated mathematical model of the suspended cable, the solution for the cable is obtained by means of the mixed averaging method. Also we can give the frequency simple with the modified iteration procedure. Moreover, the results obtained by this method and the numerical integration are compared. Also the offset is studied. Finally, the effects of the amplitude of the harmonic excitation on the suspended cable and the stability of the system are investigated.
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