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TECHNICAL PAPERS

Development of One-Dimensional Models for Elastic Waves in Heterogeneous Beams

[+] Author and Article Information
H. Murakami

Department of Mechanical and Aerospace Engineering, University of California, 9500 Gilman Drive, La Jolla, CA 92093-0411

J. Yamakawa

Department of Mechanical Engineering, The National Defense Academy Yokosuka 239-8686, Japan

J. Appl. Mech 67(4), 671-684 (Jun 06, 2000) (14 pages) doi:10.1115/1.1334860 History: Received November 06, 1998; Revised June 06, 2000
Copyright © 2000 by ASME
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References

Figures

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Heterogeneous beams with (a) circular and (b) square cross sections
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(a) A contour plot of flexural warping u⁁3(3)(α) for the circular cross section, (b) a contour plot of flexural warping u⁁3(3)(α) for the square cross section
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A contour plot of u⁁1(1)(α) for the square cross section
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(a) A contour plot of longitudinal warping u⁁3(2)(α) for the circular cross section, (b) a contour plot of longitudinal warping u⁁3(2)(α) for the square cross section
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(a) Longitudinal phase velocity spectra for the beam with the circular cross section, (b) longitudinal phase velocity spectra for the beam with the square cross section
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(a) Flexural phase velocity spectra for the beam with the circular cross section, (b) flexural phase velocity spectra for the beam with the square cross section
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(a) Torsional phase velocity spectra for the beam with the circular cross section, (b) torsional phase velocity spectra for the beam with the square cross section
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(a) A contour plot of torsional warping ũ3(2)(α) for the circular cross section, (b) a contour plot of torsional warping ũ3(2)(α) for the square cross section

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