Nonlinear vibration analysis: analytic versus numerical methods – application to cable dynamics

The analysis and prediction of the dynamic response of a nonlinear system can be very demanding because, apart from the primary resonance response, the suband super-harmonic responses can be induced, and if natural frequencies have integer ratio internal resonance is also possible. Mathematical analysis of such system usually requires the use of an asymptotic methods and numerical procedures. The paper presents the applications of analytical and numerical methods to nonlinear cable response, and discussion on both approaches is given.