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Multistage Blisk and Large Mistuning Modeling using Fourier Constraint Modes and PRIME

[+] Author and Article Information
Eric Kurstak

Gas Turbine Laboratory, Department of Mechanical and Aeronautical Engineering, The Ohio State University, Columbus, OH 43235
kurstak.1@osu.edu

Kiran X. D'Souza

Gas Turbine Laboratory, Department of Mechanical and Aeronautical Engineering, The Ohio State University, Columbus, OH 43235
dsouza.60@osu.edu

1Corresponding author.

ASME doi:10.1115/1.4038613 History: Received August 28, 2017; Revised September 13, 2017

Abstract

Current efforts to model multistage turbomachinery systems rely on calculating independent constraint modes for each degree of freedom on the boundary between stages. While this approach works, it is computationally expensive to calculate all the required constraint modes. This paper presents a new way to calculate a reduced set of constraint modes referred to as Fourier constraint modes (FCMs). These FCMs greatly reduce the number of computations required to construct a multistage reduced order model (ROM). The FCM method can also be integrated readily with the component mode mistuning method to handle small mistuning and the pristine rogue interface modal expansion method to handle large and/or geometric mistuning. These methods all use sector level models and calculations, which makes them very efficient. This paper demonstrates the efficiency of the FCM method on a multistage system that is tuned and, for the first time, creates a multistage ROM with large mistuning using only sector level quantities and calculations. The results of the multistage ROM for the tuned and large mistuning cases are compared with full finite element results and are found in good agreement.

Copyright (c) 2017 by ASME
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