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TECHNICAL PAPERS

Thermally Induced Vibration of an Internally Heated Beam

[+] Author and Article Information
Joseph R. Blandino

James Madison University, Harrisonburg, VA 22807

Earl A. Thornton

University of Virginia Charlottesville, VA 22901

J. Vib. Acoust 123(1), 67-75 (Jul 01, 2000) (9 pages) doi:10.1115/1.1320446 History: Received February 01, 2000; Revised July 01, 2000
Copyright © 2001 by ASME
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References

Figures

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Free body diagram of the deflected beam
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Cross section of tube with differential area dA and moment arm y
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Beam divided into ten equal sections for structural analysis
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Photograph of micrometer stage and electromagnet used to apply an initial displacement to the beam
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Isothermal free vibration displacement histories for two beams. (a) 0.98 Hz beam. (b) 1.37 Hz beam.
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Tip displacement and temperature histories for a beam with a natural frequency of 0.98 Hz heated with 12.6 W. (a) Tip displacement envelopes. (b) Temperature histories at X=783 mm.
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Displacement and temperature histories for a beam with a natural frequency of 0.98 Hz, heated with 28.4 W. (a) Tip displacement envelopes. (b) Temperature histories at X=783 mm.
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Tip displacement and temperature histories for a beam with a natural frequency of 1.37 Hz heated with 28.4 W. (a) Tip displacement envelopes. (b) Temperature histories at X=783 mm.
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Predicted time variation in the thermal moment and velocity at X=783 mm for a beam with a natural frequency for 0.98 Hz heated with 28.4 W. (a) Variation in the thermal moment with time. (b) Velocity variation with time.
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Predicted dependence of the steady-state vibration amplitude on frequency and heating rate
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Predicted behavior of a beam given two different initial displacements and heated with 12.6 W. (a) 50 mm initial displacement. (b) 7 mm initial displacement.

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