Details
| Original language | English |
|---|---|
| Title of host publication | Calm, Smooth and Smart |
| Subtitle of host publication | Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 285-303 |
| Number of pages | 19 |
| ISBN (electronic) | 978-3-031-36143-2 |
| ISBN (print) | 978-3-031-36142-5, 978-3-031-36145-6 |
| Publication status | Published - 2023 |
Publication series
| Name | Lecture Notes in Applied and Computational Mechanics |
|---|---|
| Volume | 102 |
| ISSN (Print) | 1613-7736 |
| ISSN (electronic) | 1860-0816 |
Abstract
Many nonlinear systems exhibit phenomena that have no counterpart in linear theory, like energy dependent modal parameters, sudden amplitude changes due to bifurcations or harmonic coupling between modes. Well established methods for the experimental analysis of linear systems, where the system is simply excited in open-loop, can not cope with such nonlinear effects. However, a novel approach called experimental continuation, allows to account for strongly nonlinear behavior by tracing the solution curves of nonlinear systems through fold bifurcations experimentally. Within the Priority Program Calm, Smooth and Smart (SPP1897) continuation has been exploited for the numerical computation of nonlinear normal modes applying the harmonic balance method [9, 10]. The experience gained in the first phase was consequently used by embedding a continuation algorithm in a closed-loop experiment utilizing a real-time processor. Herein, the control-loop is designed to stabilize unstable steady states of the system under harmonic excitation. This enables the experimental evaluation of nonlinear frequency response curves together with the resonance frequency-and nonlinear damping-curves.
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
Cite this
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Calm, Smooth and Smart: Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation. Springer Science and Business Media Deutschland GmbH, 2023. p. 285-303 (Lecture Notes in Applied and Computational Mechanics; Vol. 102).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - A Combined Numerical-Experimental Approach for the Damping Evaluation of Non-Linear Dissipative Vibration Systems
AU - Kleyman, Gleb
AU - Jahn, Martin
AU - Tatzko, Sebastian
AU - Scheidt, Lars Panning von
PY - 2023
Y1 - 2023
N2 - Many nonlinear systems exhibit phenomena that have no counterpart in linear theory, like energy dependent modal parameters, sudden amplitude changes due to bifurcations or harmonic coupling between modes. Well established methods for the experimental analysis of linear systems, where the system is simply excited in open-loop, can not cope with such nonlinear effects. However, a novel approach called experimental continuation, allows to account for strongly nonlinear behavior by tracing the solution curves of nonlinear systems through fold bifurcations experimentally. Within the Priority Program Calm, Smooth and Smart (SPP1897) continuation has been exploited for the numerical computation of nonlinear normal modes applying the harmonic balance method [9, 10]. The experience gained in the first phase was consequently used by embedding a continuation algorithm in a closed-loop experiment utilizing a real-time processor. Herein, the control-loop is designed to stabilize unstable steady states of the system under harmonic excitation. This enables the experimental evaluation of nonlinear frequency response curves together with the resonance frequency-and nonlinear damping-curves.
AB - Many nonlinear systems exhibit phenomena that have no counterpart in linear theory, like energy dependent modal parameters, sudden amplitude changes due to bifurcations or harmonic coupling between modes. Well established methods for the experimental analysis of linear systems, where the system is simply excited in open-loop, can not cope with such nonlinear effects. However, a novel approach called experimental continuation, allows to account for strongly nonlinear behavior by tracing the solution curves of nonlinear systems through fold bifurcations experimentally. Within the Priority Program Calm, Smooth and Smart (SPP1897) continuation has been exploited for the numerical computation of nonlinear normal modes applying the harmonic balance method [9, 10]. The experience gained in the first phase was consequently used by embedding a continuation algorithm in a closed-loop experiment utilizing a real-time processor. Herein, the control-loop is designed to stabilize unstable steady states of the system under harmonic excitation. This enables the experimental evaluation of nonlinear frequency response curves together with the resonance frequency-and nonlinear damping-curves.
UR - http://www.scopus.com/inward/record.url?scp=85172724764&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-36143-2_15
DO - 10.1007/978-3-031-36143-2_15
M3 - Contribution to book/anthology
AN - SCOPUS:85172724764
SN - 978-3-031-36142-5
SN - 978-3-031-36145-6
T3 - Lecture Notes in Applied and Computational Mechanics
SP - 285
EP - 303
BT - Calm, Smooth and Smart
PB - Springer Science and Business Media Deutschland GmbH
ER -