A method for constructing rational, one-dimensional theories of various orders of approximation, descriptive of wave propagation and vibrations in anisotropic elastic bars of rectangular cross section, is presented. As illustrations, several approximate theories are derived which are applicable to extensional motion in rectangular bars of isotropic material.
One-Dimensional Theories of Wave Propagation and Vibrations in Elastic Bars of Rectangular Cross Section
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Medick, M. A. (September 1, 1966). "One-Dimensional Theories of Wave Propagation and Vibrations in Elastic Bars of Rectangular Cross Section." ASME. J. Appl. Mech. September 1966; 33(3): 489–495. https://doi.org/10.1115/1.3625113
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