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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part I: Theoretical Models

[+] Author and Article Information
R. Bladh, M. P. Castanier, C. Pierre

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2125

J. Eng. Gas Turbines Power 123(1), 89-99 (Apr 02, 2000) (11 pages) doi:10.1115/1.1338947 History: Received January 14, 2000; Revised April 02, 2000
Copyright © 2001 by ASME
Topics: Disks , Blades , Modeling , Stiffness
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References

Figures

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Substructuring approach and Index notation
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Craig–Bampton component modes: (a) fixed-interface normal modes of vibration; (b) static constraint modes due to successive unit deflections of interface DOF
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REDUCE component modes: (a) fixed-interface (cantilevered) normal blade modes; (b) cyclic modes for the fundamental disk–blade sector with a massless blade
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Required number of floating point operations (flops) as a function of matrix size for generalized eigensolution, matrix multiplication, and matrix inversion. Note the slight “bumps” due to the iterative nature of the eigensolution.
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Comparison of estimated cumulative numbers of floating point operations during statistical analyses, including the model setup cost
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Comparison of estimated cumulative numbers of floating point operations during statistical analyses, disregarding the model setup cost

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