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TECHNICAL PAPERS

Measuring Rotational Degrees of Freedom Using a Laser Doppler Vibrometer

[+] Author and Article Information
M. J. Ratcliffe, N. A. J. Lieven

Department of Aerospace Engineering, University of Bristol, Bristol BS8 1TR, UK

J. Vib. Acoust 122(1), 12-20 (May 01, 1997) (9 pages) doi:10.1115/1.568432 History: Received May 01, 1996; Revised May 01, 1997
Copyright © 2000 by ASME
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References

Visser, W. J., and Imregun, M., 1991, “A Technique to Update Finite Element Models Using Frequency Response Data,” IMAC IX. pp. 462–468.
Fissette, E., Stavrinidis, C., and Ibrahim, S., 1988, “Error Location and Updating of Analytical Dynamic Models Using a Force Balance Method,” IMAC VI, pp. 1063–1070.
Lin, R. M., and He, J., 1993, “Analytical Model Improvement Using Modified IEM,” Proc. Structural Dynamics Modelling Test, Analysis and Correlation. pp. 181–194.
Duarte, M. L. M., and Ewins, D. J., 1995, “Some Insights into the Importance of Rotational Degrees of Freedom and Residual Terms in Coupled Structure Analysis,” IMAC XIII, pp. 164–170.
Waters, T. P., 1995, Finite Element Model Updating Using Frequency Response Functions, Ph.D. thesis, Department of Aerospace Engineering, University of Bristol, UK.
Guyan,  R. J., 1965, “Reduction of Mass and Stiffness Matrices,” AIAA J., 3, No. 2, p. 380.
Cobb, R. E., 1988, Confidence Bands, Measurement Noise, and Multiple Input—Multiple Output Measurements Using the Three-Channel Frequency Response Function Estimator, Ph.D. thesis, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, VA.
Allemang, R. J., and Brown, D. L., 1983, “A Correlation Coefficient for Modal Vector Analysis,” IMAC I, pp. 110–116.
Ratcliffe,  M. J., and Lieven,  N. A. J., June/July 1998, “An Improved Method for Parameter Selection in Finite Element Model Updating,” Aeronaut. J., 102, No. 1016, pp. 321–329.

Figures

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Case study FE model, showing dense node structure, and experimental shaker attachment point
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(a) Analytical rotation estimations, θx rotation. (b) Analytical rotation estimations, θy rotation.
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(a) The variation of optimum measurement radius with added Gaussian noise. (b) Optimum measurement radii for differing numbers of measured points.
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Simple demonstration of outliers
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(a) Outlier removal, θx rotation. (b) Outlier removal, θy rotation.
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Deviations from the plane-fit
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Receptance roughness calculated at different levels of corruption
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Lightly perturbed model, case 1
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Disparity between the test case models
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Roughness disparity for the test case models
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Equivalent noise estimation
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Comparison of experimental and theoretical translation FRFs
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(a) Experimental and theoretical FRFs, θx rotation. (b) Experimental and theoretical FRFs, θy rotation.
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Case study model showing macro element assignment
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Final p-values for 1.5–4.5 mm tapered wing, with 0.5 percent hysteretic damping, 10 percent noise

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