A TRANSFER MATRIX APPROACH TO FREE VIBRATION LOCALIZATION IN MISTUNED BLADE ASSEMBLIES
✍ Scribed by G. Óttarsson; C. Pierre
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 417 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
A study of mode localization in mistuned bladed disks is performed using transfer matrices. The transfer matrix approach yields the free response of a general, mono-coupled, perfectly cyclic assembly in closed form. A mistuned structure is represented by random transfer matrices, and the expansion of these matrices in terms of the small mistuning parameter leads to the definition of a measure of sensitivity to mistuning. An approximation of the localization factor, the spatially averaged rate of exponential attenuation per blade-disk sector, is obtained through perturbation techniques in the limits of high and low sensitivity. The methodology is applied to a common model of a bladed disk and the results verified by Monte Carlo simulations. The easily calculated sensitivity measure may prove to be a valuable design tool due to its system-independent quantification of mistuning effects such as mode localization.