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Passive control of flutter and forced response in bladed disks via mistuning


Shapiro, Benjamin (1999) Passive control of flutter and forced response in bladed disks via mistuning. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1xae-bn33.


Mistuning or blade to blade variation in jet-engine bladed-disks can lead to large changes in engine performance. Even the small random mistuning associated with manufacturing tolerances can significantly change both stability boundaries and forced response. This thesis addresses two questions. Analysis: given any mistuning (random or intentional), what is the resulting change in performance? And passive control: can intentional mistuning be used to improve stability and forced response in a robust manner?

A general framework based on symmetry arguments and eigenvalue/vector perturbations is presented to answer both questions. Symmetry constrains all facets of mistuning behaviour and provides simplifications for both the analysis and control problems. This is combined with the eigenvalue/vector perturbation which captures the nonlinear mistuning dependence and solves the analysis problem. It is shown that intentional mistuning can provide robust damping and so guarantee improved stability and forced response under fixed manufacturing tolerances. Results are demonstrated on a high-fidelity low-order model derived from computational-fluid-dynamic data.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Control and Dynamical Systems
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Murray, Richard M.
Thesis Committee:
  • Unknown, Unknown
Defense Date:7 May 1999
Record Number:CaltechETD:etd-02272008-083040
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:784
Deposited By: Imported from ETD-db
Deposited On:12 Mar 2008
Last Modified:19 Apr 2021 22:29

Thesis Files

PDF (Shapiro_b_1999.pdf) - Final Version
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