System identification through chaotic interrogation
Publication
, Journal Article
Nichols, JM; Virgin, LN
Published in: Mechanical Systems and Signal Processing
January 1, 2003
We introduce a method by which the coefficient of viscous damping for a linear ndof system may be estimated. The technique utilises the unique properties of chaos by driving the system with the output of a non-linear oscillator. By tuning the Lyapunov exponents of the driving signal to the eigenvalues of the linear structure, the dimension of the output is effectively controlled. Estimates of the complete Lyapunov spectrum may then be used to extract the real part of the dominant eigenvalue, and hence the damping, for the system. Results are presented for a 2-dof spring-mass-damper driven with the output of the chaotic Lorenz oscillator. The effects of additive noise are also considered.
Duke Scholars
Published In
Mechanical Systems and Signal Processing
DOI
ISSN
0888-3270
Publication Date
January 1, 2003
Volume
17
Issue
4
Start / End Page
871 / 881
Related Subject Headings
- Acoustics
- 4017 Mechanical engineering
- 4006 Communications engineering
- 0915 Interdisciplinary Engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
Citation
APA
Chicago
ICMJE
MLA
NLM
Nichols, J. M., & Virgin, L. N. (2003). System identification through chaotic interrogation. Mechanical Systems and Signal Processing, 17(4), 871–881. https://doi.org/10.1006/mssp.2001.1471
Nichols, J. M., and L. N. Virgin. “System identification through chaotic interrogation.” Mechanical Systems and Signal Processing 17, no. 4 (January 1, 2003): 871–81. https://doi.org/10.1006/mssp.2001.1471.
Nichols JM, Virgin LN. System identification through chaotic interrogation. Mechanical Systems and Signal Processing. 2003 Jan 1;17(4):871–81.
Nichols, J. M., and L. N. Virgin. “System identification through chaotic interrogation.” Mechanical Systems and Signal Processing, vol. 17, no. 4, Jan. 2003, pp. 871–81. Scopus, doi:10.1006/mssp.2001.1471.
Nichols JM, Virgin LN. System identification through chaotic interrogation. Mechanical Systems and Signal Processing. 2003 Jan 1;17(4):871–881.
Published In
Mechanical Systems and Signal Processing
DOI
ISSN
0888-3270
Publication Date
January 1, 2003
Volume
17
Issue
4
Start / End Page
871 / 881
Related Subject Headings
- Acoustics
- 4017 Mechanical engineering
- 4006 Communications engineering
- 0915 Interdisciplinary Engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering