Waves in an Imperfectly Elastic Medium,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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This paper deals with the problem of propagation of shear or compression waves in a plane-parallel layer of finite thickness. The waves are excited by an instantaneous displacement of the points of the lower plane, allowing for multiple reflections of the fronts from both boundaries of the layer. The layer material obeys the laws of linear viscoelasticity the Kelvin-Voigt and Maxwell models. Exact expressions for displacements of the particles of the medium are derived. The paper investigates stationary vibrations of the layer, allowing for changes in the physicomechanical properties in thickness inhomogeneous medium, and determines the resonance frequencies.