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Research Papers: Gas Turbines: Structures and Dynamics

Computational Studies of the Unbalance Response of a Whole Aero-Engine Model With Squeeze-Film Bearings

[+] Author and Article Information
Philip Bonello, Pham Minh Hai

School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester, M60 1QD, UK

J. Eng. Gas Turbines Power 132(3), 032504 (Dec 03, 2009) (7 pages) doi:10.1115/1.3159381 History: Received March 23, 2009; Revised March 27, 2009; Published December 03, 2009; Online December 03, 2009

The computation of the unbalance vibration response of aero-engine assemblies fitted with nonlinear bearings requires the retention of a very large number of modes for reliable results. This renders most previously proposed nonlinear solvers unsuitable for this application. This paper presents three methods for the efficient solution of the problem. The first method is the recently developed impulsive receptance method (IRM). The second method is a reformulation of the Newmark-beta method. In addition to these two time-domain methods, a whole-engine receptance harmonic balance method (RHBM) is introduced that allows, for the first time, the frequency domain calculation of the periodic vibration response of a real engine. All three methods use modal data calculated from a one-off analysis of the linear part of the engine at zero speed. Simulations on a realistically-sized representative twin-spool engine model with squeeze-film damper bearings provide evidence that the popular Newmark-beta method can be unreliable for large-order nonlinear systems. The excellent correlation between the IRM and RHBM results demonstrates the efficacy of these two complementary tools in the computational analysis of realistic whole-engine models.

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Figures

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Figure 2

Point receptance at B1 in the y direction (1)

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Figure 3

Axial cross-sectional view of SFD

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Figure 4

Rotor weight distribution, SFD bearing locations, and unbalance locations for twin-spool engine

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Figure 5

Computed periodic steady-state orbits of bearing journals relative to their housings for SFU (orbits normalized with respect to the respective radial clearances). (a) IRM (1); (b) FNBM with β=0.25, γ=0.50; (c) FNBM with β=0.25, γ=0.55; and (d) RHBM.

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Figure 6

SFU speed-response curves of y relative displacements at SFDs 4 and 5 (vertical axes give half peak-peak amplitude normalized by radial clearance)

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Figure 7

Computed periodic steady-state orbits of bearing journals relative to their housings for MFU (RHBM (——), IRM (------); orbits normalized with respect to the respective radial clearances)

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Figure 8

MFU speed-response curves of y relative displacements at SFDs 4 and 5 (vertical axes give half peak-peak amplitude normalized by radial clearance)

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Figure 9

Schematic of the simple twin-shaft system

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Figure 1

Schematic of a typical twin-spool engine (1)

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