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Extensional Waves Along the Edge of an Elastic Plate
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A solution of second-order equations of extensional motion of plates is obtained for waves traveling along a free edge. The usual Rayleigh-type wave is found to become more and more confined ...
Axially Symmetric Waves in Elastic Rods
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A system of approximate, one-dimensional equations is derived for axially symmetric motions of an elastic rod of circular cross section. The equations take into account the coupling between ...
Vibrations and Waves in Elastic Bars of Rectangular Cross Section
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An exact solution of the equations of elasticity is found for a family of modes of vibration, or waves, in an infinite bar of rectangular cross section for certain ratios of width to depth. ...
Dispersion of Flexural Waves in an Elastic, Circular Cylinder
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper it is shown how the branches of Pochhammer’s frequency equation for flexural waves in a circular cylinder may be constructed approximately with the aid of a grid of simpler ...
Extensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A set of approximate equations of extensional motion of elastic plates is solved for the case of axially symmetric vibrations of a circular disk and the results are compared with experiments ...
Dispersion of Axially Symmetric Waves in Elastic Rods
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The relation between frequency and propagation constant, for axially symmetric waves in an infinitely long, isotropic, circular rod, as given by Pochhammer’s equation, is explored. A spectrum, ...
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