Signal Analysis Using Karhunen-Loève Transformation: Application to Hydrodynamic Forces

[+] Author and Article Information
Irem Y. Tumer

Computational Sciences, NASA Ames Research Center, Mail Stop 269-3, Moffett Field, CA 94035e-mail: itumer@ptolemy.arc.nasa.gov

Raul G. Longoria, Kristin L. Wood

Mechanical Engineering, The University of Texas, Austin, TX 78712-1063

J. Offshore Mech. Arct. Eng 122(3), 208-213 (Feb 07, 2000) (6 pages) doi:10.1115/1.1286923 History: Received September 15, 1998; Revised February 07, 2000
Copyright © 2000 by ASME
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Laboratory model for forces on circular cylinders in planar flow
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Examples of KL decomposition using numerical signals—(a) linear and low-frequency sinusoidal modes; (b) high-frequency sinusoidal mode; (c) example coefficient for linear mode: trend change; (d) example coefficient for linear mode: offset change; (e) coefficient for low-frequency sinusoidal mode: sudden magnitude change; (f ) example coefficient for high-frequency sinusoidal mode: no magnitude change
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Inline force data for increasing Keulegan-Carpenter number (rounded to the nearest integer)—(a) KC=1 (low); (b) KC=3; (c) KC=6; (d) KC=8; (e) KC=12; (f ) KC=18; (g) KC=25; (h) KC=29; (i) KC=35 (high)
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KL eigenvectors and coefficient vectors: increasing Keulegan-Carpenter number—(a) eigenvector 1; (b) coefficient vector 1; (c) eigenvector 3; (d) coefficient vector 3
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KL reconstruction using six eigenvectors versus original: increasing Keulegan-Carpenter number—(a) reconstructed input 1; (b) original input 1; (c) reconstructed input 240; (d) original input 240



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