Details
| Original language | English |
|---|---|
| Article number | 103520 |
| Journal | Mechanics research communications |
| Volume | 106 |
| Early online date | 27 Apr 2020 |
| Publication status | Published - Jun 2020 |
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.
Keywords
- Control-based continuation, Frictional damping, Nonlinear frequency response, Nonlinear measurement
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Mechanics research communications, Vol. 106, 103520, 06.2020.
Research output: Contribution to journal › Article › Research › peer review
}
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 -