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TECHNICAL BRIEFS

On the Proper Orthogonal Modes and Normal Modes of Continuous Vibration Systems

[+] Author and Article Information
B. F. Feeny

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Vib. Acoust 124(1), 157-160 (Aug 01, 2001) (4 pages) doi:10.1115/1.1421352 History: Received February 01, 1999; Revised August 01, 2001
Copyright © 2002 by ASME
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References

Figures

Grahic Jump Location
The first two discretized linear normal modes of a cantilevered beam are plotted with a solid line. The corresponding POMs are plotted with circles.
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The first two discretized linear normal modes of a hinged-hinged beam are plotted with a solid line. The corresponding POMs are plotted with circles.
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An animation of vibration in the first nonlinear normal mode of a nonlinear beam
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The two most dominant POMs for a nonlinear beam vibrating in the first nonlinear normal mode. The dominant POM corresponds to 99.8 percent of the signal power.
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The deflection u1(t) at x=0.0825 versus the deflection u6(t) at x=0.5 during vibration in the first nonlinear normal mode. The straight line is the projection of the dominant POM.
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The deflections of linear modal coordinate q3, versus the first linear modal coordinate, q1, of a nonlinear beam during vibration in the first nonlinear normal mode. The straight line is the projection of the dominant POM.

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