The search for ever lighter weight has become a major goal in the aeronautical industry as it has a direct impact on fuel consumption. It also implies the design of increasingly thin structures made of sophisticated and flexible materials. This may result in nonlinear behaviors due to large structural displacements. Stator vanes can be affected by such phenomena, and as they are a critical part of turbojets, it is crucial to predict these behaviors during the design process in order to eliminate them. This paper presents a reduced order modeling process suited for the study of geometric nonlinearities. The method is derived from a classical component mode synthesis (CMS) with fixed interfaces, in which the reduced nonlinear terms are obtained through a stiffness evaluation procedure (STEP) procedure using an adapted basis composed of linear modes completed by modal derivatives (MD). The whole system is solved using a harmonic balance procedure and a classic iterative nonlinear solver. The application is implemented on a schematic stator vane model composed of nonlinear Euler–Bernoulli beams under von Kàrmàn assumptions.
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April 2019
Research-Article
Dynamic Analysis and Reduction of a Cyclic Symmetric System Subjected to Geometric Nonlinearities
Adrien Martin,
Adrien Martin
Laboratoire de Tribologie et
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
e-mail: adrien.martin@doctorant.ec-lyon.fr
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
e-mail: adrien.martin@doctorant.ec-lyon.fr
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Fabrice Thouverez
Fabrice Thouverez
Laboratoire de Tribologie et
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
Search for other works by this author on:
Adrien Martin
Laboratoire de Tribologie et
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
e-mail: adrien.martin@doctorant.ec-lyon.fr
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
e-mail: adrien.martin@doctorant.ec-lyon.fr
Fabrice Thouverez
Laboratoire de Tribologie et
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
Dynamique des Systèmes,
École Centrale de Lyon,
Écully CEDEX 69134, France
1Corresponding author.
Manuscript received June 25, 2018; final manuscript received June 29, 2018; published online December 5, 2018. Editor: Jerzy T. Sawicki.
J. Eng. Gas Turbines Power. Apr 2019, 141(4): 041027 (8 pages)
Published Online: December 5, 2018
Article history
Received:
June 25, 2018
Revised:
June 29, 2018
Citation
Martin, A., and Thouverez, F. (December 5, 2018). "Dynamic Analysis and Reduction of a Cyclic Symmetric System Subjected to Geometric Nonlinearities." ASME. J. Eng. Gas Turbines Power. April 2019; 141(4): 041027. https://doi.org/10.1115/1.4041001
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