Details
| Original language | English |
|---|---|
| Pages (from-to) | 159-171 |
| Number of pages | 13 |
| Journal | Mechanical Systems and Signal Processing |
| Volume | 127 |
| Early online date | 12 Mar 2019 |
| Publication status | Published - 15 Jul 2019 |
Abstract
Keywords
- Complex nonlinear modes, Harmonic balance method, Nonlinear modal analysis
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Signal Processing
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Mechanical Systems and Signal Processing, Vol. 127, 15.07.2019, p. 159-171.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Comparison of different harmonic balance based methodologies for computation of nonlinear modes of non-conservative mechanical systems
AU - Jahn, Martin
AU - Tatzko, Sebastian
AU - Panning-von Scheidt, Lars
AU - Wallaschek, Jörg
N1 - Funding information: The authors thank the German Research Foundation (DFG) for the support within the priority program SPP 1897 “Calm, Smooth and Smart”.
PY - 2019/7/15
Y1 - 2019/7/15
N2 - For the determination of periodic solutions for forced or free vibrations of nonlinear systems, several proven methods exist. The motion of autonomous nonlinear non-conservative mechanical systems is in general non-periodic which contradicts the computation of their nonlinear modes as natural periodic solutions. Utilizing the harmonic balance method (HBM) two approaches for nonlinear mode computation of non-conservative systems exist – the so called concept of complex nonlinear modes (CNM) and the extension of the periodic motion concept (E-PMC). Each nonlinear mode computed using one of these methods is then described by its frequency, damping, the harmonics, and the corresponding phase angles of each degree of freedom as functions of the generalized amplitude. Applying averaging methods transient system responses of the system can be efficiently computed regarding one nonlinear mode. In this work differences between complex nonlinear modes and the extended periodic motion concept as well as corresponding results will be addressed.
AB - For the determination of periodic solutions for forced or free vibrations of nonlinear systems, several proven methods exist. The motion of autonomous nonlinear non-conservative mechanical systems is in general non-periodic which contradicts the computation of their nonlinear modes as natural periodic solutions. Utilizing the harmonic balance method (HBM) two approaches for nonlinear mode computation of non-conservative systems exist – the so called concept of complex nonlinear modes (CNM) and the extension of the periodic motion concept (E-PMC). Each nonlinear mode computed using one of these methods is then described by its frequency, damping, the harmonics, and the corresponding phase angles of each degree of freedom as functions of the generalized amplitude. Applying averaging methods transient system responses of the system can be efficiently computed regarding one nonlinear mode. In this work differences between complex nonlinear modes and the extended periodic motion concept as well as corresponding results will be addressed.
KW - Complex nonlinear modes
KW - Harmonic balance method
KW - Nonlinear modal analysis
UR - http://www.scopus.com/inward/record.url?scp=85062588488&partnerID=8YFLogxK
U2 - 10.1016/j.ymssp.2019.03.005
DO - 10.1016/j.ymssp.2019.03.005
M3 - Article
AN - SCOPUS:85062588488
VL - 127
SP - 159
EP - 171
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
SN - 0888-3270
ER -