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Plane steady vibration of an elastic wedge
Authors:K C Wang  D B Bogy
Institution:1. Specialist Engineer, AiResearch Manufacturing Company, Phoenix, Arizona, USA
2. Department of Mechanical Engineering, University of California, Berkeley, USA
Abstract:The problem of plane steady vibration of an elastic wedge of arbitrary angle (less than 180 degrees) subject to harmonic normal and shearing tractions on its faces is reduced to a system of singular integral equations by the superposition of two half-plane solutions. The integral equations have kernels with Cauchy singularities of a non-translation type, except for the 90 degree wedge. The locations of these singularity lines are shown graphically as a function of wedge angle.
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