Details
| Original language | English |
|---|---|
| Pages (from-to) | 81-90 |
| Number of pages | 10 |
| Journal | Computers and Structures |
| Volume | 169 |
| Early online date | 2 Apr 2016 |
| Publication status | Published - Jun 2016 |
Abstract
A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates in the frequency domain and its central idea is to assume a constant phase lag between forcing and response. The method is validated for a two-degree-of-freedom oscillator with cubic spring and a bladed disk with shroud contact. The method provides superior computational efficiency, but is limited to weakly-damped systems. Finally, the capability to reveal isolated solution branches is highlighted.
Keywords
- Backbone curve, Detached branches, Direct parametric analysis, Harmonic balance, Locus of resonances, Nonlinear vibrations
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 169, 06.2016, p. 81-90.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems
AU - Förster, Alwin
AU - Krack, M.
PY - 2016/6
Y1 - 2016/6
N2 - A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates in the frequency domain and its central idea is to assume a constant phase lag between forcing and response. The method is validated for a two-degree-of-freedom oscillator with cubic spring and a bladed disk with shroud contact. The method provides superior computational efficiency, but is limited to weakly-damped systems. Finally, the capability to reveal isolated solution branches is highlighted.
AB - A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates in the frequency domain and its central idea is to assume a constant phase lag between forcing and response. The method is validated for a two-degree-of-freedom oscillator with cubic spring and a bladed disk with shroud contact. The method provides superior computational efficiency, but is limited to weakly-damped systems. Finally, the capability to reveal isolated solution branches is highlighted.
KW - Backbone curve
KW - Detached branches
KW - Direct parametric analysis
KW - Harmonic balance
KW - Locus of resonances
KW - Nonlinear vibrations
UR - http://www.scopus.com/inward/record.url?scp=84962449537&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2016.03.003
DO - 10.1016/j.compstruc.2016.03.003
M3 - Article
VL - 169
SP - 81
EP - 90
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
ER -