The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques
Open accessAbstract
The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part I. One reason of the still limited use of NNMs in structural dynamics is that their computation is often regarded as impractical. However, when resorting to numerical algorithms, we show that the NNM computation is possible with limited implementation effort, which paves the way to a practical method for determining the NNMs of nonlinear mechanical systems. The proposed algorithm relies on two main techniques, namely a shooting procedure and a method for the continuation of NNM motions. The algorithm is demonstrated using four different mechanical systems, a weakly and a strongly nonlinear two-degree-of-freedom system, a simplified discrete model of a nonlinear bladed disk and a nonlinear cantilever beam discretized by the finite element method.
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Cites
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Self-citationEnergy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
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Nonlinear system identification in structural dynamics: 10 more years of progress
Noël, J. P., & Kerschen, G. (2017) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2016.07.020 · Cited by 527
Self-citationNumerical and experimental investigations of a rotating nonlinear energy sink
AL-Shudeifat, M. A., Wierschem, N. E., Bergman, L. A., & Vakakis, A. F. (2017) · Meccanica · doi:10.1007/s11012-016-0422-2 · Cited by 109
Zang, J., Cao, R.-Q., Zhang, Y.-W., Fang, B., & Chen, L.-Q. (2021) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2020.105620 · Cited by 84
Tao, H., & Gibert, J. (2019) · Nonlinear Dynamics · doi:10.1007/s11071-018-04734-4 · Cited by 41
Al-Shudeifat, M. A., & Saeed, A. S. (2022) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4053509 · Cited by 31
Metadata
- Authors
- Peeters, M., Viguié, R., Sérandour, G., Kerschen, G., & Golinval, J.-C.
- Venue
- Mechanical Systems and Signal Processing
- Publisher
- Elsevier BV
- Published
- 2009-01
- Volume
- 23
- Issue
- 1
- Pages
- 195-216
- ISSN
- 0888-3270 (ISSN-L)
- OpenAlex
- W2060580180
- Cited by
- 543
- References
- 22
- FWCI
- 63.75
- Type
- journal article
- Language
- en
- Open access
- green
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- Peeters, M., Viguié, R., Sérandour, G., Kerschen, G., & Golinval, J.-C. (2009). Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques. Mechanical Systems and Signal Processing. https://doi.org/10.1016/j.ymssp.2008.04.003
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