Predicting a jump to resonance using transient maps and beats
Publication
, Journal Article
Thompson, JMT; Virgin, LN
Published in: International Journal of Non-Linear Mechanics
January 1, 1986
In this paper it is shown how the transient frequencies can be used to predict an incipient jump to resonance of a lightly damped non-linear oscillator. The appropriate frequency ω can be determined from the rotation number of a Poincaré map, or measured directly from the beats superimposed on the steady state oscillation. The relative advantages of using an ω2 or an ω4 predictor are explored in digital computations and in an experimental study of a vibrating beam. © 1986.
Duke Scholars
Published In
International Journal of Non-Linear Mechanics
DOI
ISSN
0020-7462
Publication Date
January 1, 1986
Volume
21
Issue
3
Start / End Page
205 / 216
Related Subject Headings
- Mechanical Engineering & Transports
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Thompson, J. M. T., & Virgin, L. N. (1986). Predicting a jump to resonance using transient maps and beats. International Journal of Non-Linear Mechanics, 21(3), 205–216. https://doi.org/10.1016/0020-7462(86)90004-1
Thompson, J. M. T., and L. N. Virgin. “Predicting a jump to resonance using transient maps and beats.” International Journal of Non-Linear Mechanics 21, no. 3 (January 1, 1986): 205–16. https://doi.org/10.1016/0020-7462(86)90004-1.
Thompson JMT, Virgin LN. Predicting a jump to resonance using transient maps and beats. International Journal of Non-Linear Mechanics. 1986 Jan 1;21(3):205–16.
Thompson, J. M. T., and L. N. Virgin. “Predicting a jump to resonance using transient maps and beats.” International Journal of Non-Linear Mechanics, vol. 21, no. 3, Jan. 1986, pp. 205–16. Scopus, doi:10.1016/0020-7462(86)90004-1.
Thompson JMT, Virgin LN. Predicting a jump to resonance using transient maps and beats. International Journal of Non-Linear Mechanics. 1986 Jan 1;21(3):205–216.
Published In
International Journal of Non-Linear Mechanics
DOI
ISSN
0020-7462
Publication Date
January 1, 1986
Volume
21
Issue
3
Start / End Page
205 / 216
Related Subject Headings
- Mechanical Engineering & Transports
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0102 Applied Mathematics