TY - JOUR

T1 - Application of Control-Based-Continuation for characterization of dynamic systems with stiffness and friction nonlinearities

AU - Kleyman, Gleb

AU - Paehr, Martin

AU - Tatzko, Sebastian

PY - 2020/6

Y1 - 2020/6

N2 - 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.

AB - 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.

KW - Control-based continuation

KW - Frictional damping

KW - Nonlinear frequency response

KW - Nonlinear measurement

UR - http://www.scopus.com/inward/record.url?scp=85084041235&partnerID=8YFLogxK

U2 - 10.1016/j.mechrescom.2020.103520

DO - 10.1016/j.mechrescom.2020.103520

M3 - Article

AN - SCOPUS:85084041235

VL - 106

JO - Mechanics research communications

JF - Mechanics research communications

SN - 0093-6413

M1 - 103520

ER -