Application of Control-Based-Continuation for characterization of dynamic systems with stiffness and friction nonlinearities

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.