Abstract
In the present study, two nonlinear systems are experimentally investigated near their resonance frequencies by applying the recently proposed Control-Based-Continuation (CBC) method [1]. System a) is a purely academic single degree of freedom (sdof) system, which in its dynamic properties resembles the Duffing-oscillator. System b) is a system consisting of two cantilever beams, coupled to each other by a frictional contact, which generates a significant nonlinear damping in the investigated parameter range. The idea of the applied CBC-method is to exploit the ambiguous load-displacement characteristic at different frequencies near resonance, the so-called s-curve. Thus, instead of the traditional representation as frequency response functions, the near resonance vibrations of the systems are characterized as a three-dimensional surface under variation of excitation-force and frequency. This study contributes to the application of the CBC method for experimental tracking of nonlinear vibration responses of non-conservative systems.
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