Abstract
This paper is concerned with a method for solving the stress problems of a viscoelastic solid of arbitrary shape with a circular cavity subjected to a vibration pressure along the cavity. In the analysis the exact solutions which satisfy the boundary conditions along the cavity have been derived from the equations of motion of elastic solids based on the two dimensional theory of elasticity. The boundary conditions along the outer surface of arbitrary shape have been satisfied by means of the Fourier expansion collocation method. The analysis considers the viscoelasticity and uses the structural damping theory. As examples, stresses in the solids of circular, hexagonal, square, elliptical and truncated elliptical shapes have been calculated.
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