Toeplitz Jacobian method for nonlinear double-periodic excitations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 351-359 |
| Journal / Publication | Shock and Vibration |
| Volume | 4 |
| Issue number | 5-6 |
| Publication status | Published - 1997 |
| Externally published | Yes |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
|
| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-0031329442&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(7277f77b-cf64-401c-be54-e605a7d29a71).html |
Abstract
The Toeplitz Jacobian matrix method is an efficient algorithm for computing the steady state solutions of nonlinear periodic vibration. In this paper, the method is generalized by using multiple time scales to double-periodic solutions in a multi-frequency excited system. The method is combined with a standard multi-dimensional FFT algorithm to accurately simulate the nonlinear oscillators with widely separated frequencies. The continuation technique can also be incorporated with the Newton-Raphson iteration further increase its efficiency, and to achieve the complete frequency response characteristics. © 1997 IOS Press.
Research Area(s)
Citation Format(s)
Toeplitz Jacobian method for nonlinear double-periodic excitations. / Ge, T.; Leung, A. Y T.
In: Shock and Vibration, Vol. 4, No. 5-6, 1997, p. 351-359.
In: Shock and Vibration, Vol. 4, No. 5-6, 1997, p. 351-359.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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