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Research Papers

Nonlinear Reduced Order Models for the Structural Dynamics of Combustor Systems With Prestress and Friction

[+] Author and Article Information
Chulwoo Jung

Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48109-2125
e-mail: cwjung@umich.edu

Bogdan I. Epureanu

Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48109-2125
e-mail: epureanu@umich.edu

Sanghum Baik

GE Global Research Center,
Niskayuna, NY 12309
e-mail: baik@research.ge.com

Marcus B. Huffman

GE Power and Water,
Greenville, SC 29615
e-mail: marcus.huffman@ge.com

1Corresponding author.

2Present address: GE Aviation, Cincinnati, OH 45215.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 20, 2013; final manuscript received July 12, 2014; published online September 12, 2014. Assoc. Editor: Ahmet S. Yigit.

J. Comput. Nonlinear Dynam 10(1), 011009 (Sep 12, 2014) (8 pages) Paper No: CND-13-1147; doi: 10.1115/1.4028014 History: Received June 20, 2013; Revised July 12, 2014

An efficient methodology to capture the nonlinear responses of combustor systems with prestress and Coulomb friction is developed. The combustor systems experience wear at the interfaces between components due to flow-induced vibrations. In particular, wear has been observed at the interface between the transition piece and the hula seal, and at the interface between the hula seal and the liner. These interfaces are prestressed, and their vibratory response has a softening nonlinearity caused by Coulomb friction combined with microslip. In addition, the contact between the hula seal and the transition piece is that between a convex surface and a concave surface. Hence, geometric nonlinearity of the contact stiffness in the normal direction is present also. These phenomena are hard to capture by full-order finite element (FE) approaches because they require time marching or harmonic balancing of very large models. To address this issue, we develop reduced order models (ROMs) which are specifically designed to capture Coulomb friction (combined with micro- and macroslip). To demonstrate the proposed approach, a simplified hula seal is placed between two very rigid plates (which relate to the transition piece and the liner). For validation, contact elements are used to model the interface between the plates and the hula seal. Transient dynamic analysis (TDA) in ansys is applied to the full-order model. The model is shown to exhibit softening nonlinearity and microslip at all levels of prestress. To show that ROMs for this system are possible (i.e., they exist), we use proper orthogonal decomposition (POD) to show that the dynamics is dominated by a low number of spatial coherences. For a variety of frequency ranges and prestress levels, we show that a single such coherence is dominant. Next, low order models are proposed and their parameters are identified. A systematic method to identify these parameters is developed. Particular attention is paid to the amount of calculations needed for obtaining these parameters. Finally, the ROMs are validated by comparing their predictions with results from TDA for the full-order model. We show that these ROMs can accurately predict the nonlinear response of the system.

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Figures

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Fig. 2

Sample of hysteresis loop

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Fig. 3

Simplified hula seal model

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Fig. 8

A schematic diagram of a ROM for the extended hula seal

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Fig. 9

Results of ROMs (○) for the extended hula seal model compared to those of TDA () for predisplacements of: (a) 23.2% of h, (b) 25.6% of h, and (c) 30.4% of h

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Fig. 4

Softening nonlinearity observed in the hula seal model with a predisplacement of 32.8% of h and various forcing amplitudes: F = 8 lbf (), F = 6 lbf (△), F = 5 lbf (○), and F = 2 lbf (×)

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Fig. 7

Extended hula seal model: (a) overview and (b) close-up

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Fig. 5

Hysteresis loop of the hula seal model obtained for a predisplacement of 23.2% of h

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Fig. 6

Validation of ROMs (○) developed for a simplified hula seal using TDA results () obtained for predisplacements of: (a) 23.2% of h, (b) 25.6% of h, and (c) 30.4% of h

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