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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

A New Method for Dynamic Analysis of Mistuned Bladed Disks Based on the Exact Relationship Between Tuned and Mistuned Systems

[+] Author and Article Information
E. P. Petrov, D. J. Ewins

Imperial College of Science, Technology and Medicine, Center of Vibration Engineering, Mechanical Engineering Department, Exhibition Road, London, SW7 2BX, UK

K. Y. Sanliturk

Faculty of Mechanical Engineering, Istanbul Technical University, 80191 Gumussuyu, Istanbul, Turkey

J. Eng. Gas Turbines Power 124(3), 586-597 (Jun 19, 2002) (12 pages) doi:10.1115/1.1451753 History: Received February 01, 2000; Revised September 01, 2001; Online June 19, 2002
Copyright © 2002 by ASME
Topics: Disks , Manufacturing
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References

Figures

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Finite element model of a bladed disk
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A scheme of decomposing the mistuning matrix into multiplication of two matrices
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Various mistuning elements: 1) lumped mass; 2) stiffness between a node and ground; 3) damping between a node and ground; 4) stiffness between nodes of different blades; 5) damping between nodes of different blades; 6) stiffness between nodes of the same blade
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A relationship between the mistuning coefficient and frequency mistuning
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Engine order harmonics and natural frequencies in the frequency range analyzed
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Forced response for each blade of the bladed disk. Excitation by 2EO, amplitudes at blade tip.
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Forced response for each blade of the bladed disk. Excitation by 10EO, amplitudes at blade-shroud joint.
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The case of excitation of 2EO: (a) maximum amplitudes at blade tip searched among all blades for mistuned and tuned bladed disks; (b) errors in their determination
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The case of excitation by 10EO: (a) maximum amplitudes at blade-shroud joint searched among all blades for mistuned and tuned bladed disks; (b) errors in their determination
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Normalized response at found resonance peaks and errors in their calculations for the case when 16 modes are included: (a) the case of excitation by 2EO; (b) the case of excitation by 10EO
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Maximum error searched among all resonance peaks in the considered range in respect to number of modes included
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Distribution of amplitudes at resonance peaks excited by 2EO for the case when four nodes are included
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Maximum amplitudes for each of the blade assembly for different numbers of modes included: (a) excitation by 2EO, (b) excitation by 10EO
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Maximum amplitudes searched among analyzed nodes of all blades for the bladed disk shown in Fig. 1. Inset—all natural frequencies of the bladed disk.
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Forced response for each blade of the bladed disk shown in Fig. 1
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Maximum amplitudes searched among analyzed nodes of all blades: (a) damping factor 0.003; (b)-damping factor 0.03
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Examples of the discrete harmonic function introduced

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