Shapiro, Benjamin (1997) Solving the Optimal Mistuning Problem by Symmetry: A General Framework for Extending Flutter Boundaries in Turbomachines via Mistuning. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1997.004
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A general framework is presented for analyzing and optimizing stability increases due to mistuning. The framework given is model independent and is based primarily on symmetry arguments. Difficult practical issues are transformed to tractable mathematical questions. It is shown that mistuning analysis reduces to a block circular matrix eigenvalue/vector problem which can be solved efficiently even for large problems. Similarly, the optimization becomes a standard linear constraint quadratic programming problem and can be solved numerically. Since the methods given are model independent, they can be applied to various models and allow the researcher to easily conclude which models accurately capture mistuning, and which do not. A simple quasi-steady model for flutter in a cascade is used to illustrate and validate results in this paper.
|Item Type:||Report or Paper (Technical Report)|
|Additional Information:||This work was performed at United Technologies Research Center during the summer of 1996. The author would like to thank M. Myers, D. Gysling, S. Copeland, G. Hendricks and M. Barnett for their willingness to answer questions at inopportune moments. Suggestions and advice from my advisor, R. Murray, are greatfully acknowledged. Thanks are also due to F. Al-Khayyal and T. Van Voorhis at Georgia Tech for their time and numerical optimization code. Numerical solutions would not have been possible without their help.|
|Group:||Control and Dynamical Systems Technical Reports|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechCDSTR|
|Deposited On:||02 Sep 2006|
|Last Modified:||26 Dec 2012 14:29|
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