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TECHNICAL PAPERS

Nondestructive Evaluation of Parts With Degenerate Modes Using Pseudorepeated Roots

[+] Author and Article Information
Brandon J. Jellison, Harold R. Kess, Douglas E. Adams

Purdue University, School of Mechanical Engineering, 140 S. Intramural Drive, Ray W. Herrick Laboratories, West Lafayette, IN 47907-2031

David C. Nelson

Los Alamos National Laboratory, Los Alamos, NM 87544

J. Dyn. Sys., Meas., Control 126(3), 498-508 (Dec 03, 2004) (11 pages) doi:10.1115/1.1789536 History: Received December 12, 2003; Online December 03, 2004
Copyright © 2004 by ASME
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References

Figures

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Repeated root for three-dimensional flag pole structure showing first bending modes in x and y directions with identical modal frequencies, λR2R1
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Two degree-of-freedom system for developing theory associated with the NDE repeated root approach
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Sensitivity of split between damped modal frequencies of vibration of near-symmetric two DOF system for independent nonuniformity perturbations with K10=1 N/m=K20 and M10=1 kg=M20
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Sensitivity of split between damped modal frequencies of vibration of near-symmetric two DOF system for independent nonuniformity perturbations with K10=1 N/m=0.25K20 and M10=1 kg=0.25M20
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Sensitivity of split between damped modal frequencies of vibration of near-symmetric two DOF system for independent nonuniformity perturbations with K10=1 N/m=0.1K20 and M10=1 kg=0.1M20
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Sensitivity of split between damped modal frequencies of vibration of near-symmetric two DOF system for independent nonuniformity perturbations with K10=4 N/m=K20/3 and M10=1 kg=M20/3
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Finite element discretization
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Plot of separation between pseudorepeated roots vs magnitude of mass perturbation
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Root locus showing sensitivity in split between pseudorepeated roots for variable ΔM1 with K10=2 N/m=2K20 and M10=2 kg=2M20 without coupling between the DOFs
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Root locus showing sensitivity in split between pseudorepeated roots for variable ΔM1 with K10=2 N/m=2K20 and M10=2 kg=2M20 with coupling between the DOFs
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Sensitivity of split between damped modal frequencies of vibration of near-symmetric two DOF system for simultaneous random nonuniformity perturbations with K10=4 N/m=K20/3 and M10=1 kg=M20/3
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Histogram of split between damped modal frequencies of vibration of near-symmetric two DOF system for simultaneous random nonuniformity perturbations with K10=4 N/m=K20/3 and M10=1 kg=M20/3
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Precision manufactured hemispherical shells for experimentally demonstrating NDE using pseudorepeated roots
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Experimental setup with free-free boundary condition for estimating modal frequencies of hemispherical shells
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Split peak in aluminum shell for mode 3 with one mass perturbation showing large sensitivity to small mass addition
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Split peak in aluminum shell for mode 4 with two mass perturbations showing progressive split

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