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Research Papers: Gas Turbines: Structures and Dynamics

An Extension of the Classical Subset of Nominal Modes Method for the Model Order Reduction of Gyroscopic Systems

[+] Author and Article Information
Christian U. Waldherr

ITSM—Institute of Thermal Turbomachinery and
Machinery Laboratory,
University of Stuttgart,
Stuttgart D-70569, Germany
e-mail: waldherr@itsm.uni-stuttgart.de

Damian M. Vogt

ITSM—Institute of Thermal Turbomachinery and
Machinery Laboratory,
University of Stuttgart,
Stuttgart D-70569, Germany

1Corresponding author.

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received July 4, 2018; final manuscript received July 17, 2018; published online December 7, 2018. Editor: Jerzy T. Sawicki.

J. Eng. Gas Turbines Power 141(5), 052501 (Dec 07, 2018) (8 pages) Paper No: GTP-18-1440; doi: 10.1115/1.4041117 History: Received July 04, 2018; Revised July 17, 2018

In the structural dynamics design process of turbomachines, Coriolis effects are usually neglected. This assumption holds true if no pronounced interaction between the shaft and disk occurs or if the radial blade displacements are negligible. For classical rotordynamic investigations or for machines where the disk is comparatively thin or weak, Coriolis effects as well as centrifugal effects like stress stiffening and spin softening have to be taken into account. For the analysis of complex structures, the finite element method is today the most commonly used modeling approach. To handle the numerical effort in such an analysis, the aim of the present work is the further development of an existing reduced order model, which also allows the consideration of Coriolis effects without the loss of accuracy for a wide range of rotational speeds. In addition to the investigation of the tuned design of the bladed disk using cyclic boundary conditions, the described method is also appropriate to investigate mistuning phenomena including Coriolis effects. Due to the fact that the computation time can be reduced by two orders of magnitude, the method also opens up the possibility for performing probabilistic mistuning investigations including Coriolis effects.

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Figures

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Fig. 1

Mesh of the investigated ring

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Fig. 2

Circular frequencies of the rotating ring

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Fig. 3

Sector mesh of the investigated compressor blisk

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Fig. 4

Comparison linear and nonlinear prestress analysis

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Fig. 5

Frequency split for a rotational speed of 1000 rad/s

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Fig. 8

Relative error in the natural frequency including Coriolis effects

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Fig. 7

Campbell diagram with Coriolis forces

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Fig. 6

Campbell diagram without Coriolis forces

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Fig. 12

Relative blade Euclidean displacement norm for the reduced and the unreduced system

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Fig. 11

Relative blade Euclidean displacement norm

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Fig. 10

Magnification factor resonance crossing M3, 4ND4

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Fig. 9

Frequency sweeps for resonance crossing M3, 4ND4

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