A COMPARISON OF THREE TECHNIQUES USING STEADY STATE DATA TO IDENTIFY NON-LINEAR MODAL BEHAVIOR OF AN EXTERNALLY EXCITED CANTILEVER BEAM
✍ Scribed by T.A. DOUGHTY; P. DAVIES; A.K. BAJAJ
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 459 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
Non-linear system identi"cation is used to generate models of modes in physical structures. Analysis of the theoretical non-linear model of a cantilevered beam is used to predict the inputs to the physical system that will produce responses suitable for enhanced parameter estimation, thereby improving the model. Three identi"cation techniques are described and applied to both numerical and experimental data: the "rst is based on the continuous-time di!erential equation model of the system, the second uses relationships generated by the method of harmonic balance, and the third is based on "tting steady state response data to the amplitude and phase modulation equations resulting from a multiple time scales analysis. The performance of each method improves as the non-linearities in the system become more pronounced. The bene"ts and limitations of the methods are discussed.