Abstract
A method is developed for determining the modes of propagation for progressive harmonic waves in infinite rectangular elastic bars. The faces of the bar are covered with a distributed mass of negligible stiffness, as found with a layer of insulation or a damping treatment. An approximate solution is obtained by expanding the displacements as a power series in the thickness coordinates and retaining only terms through first order. The D'Alembert force due to the acceleration of the mass produces surface tractions which influence the motion and introduce coupling between the longitudinal, torsional, and flexural motions. If equal mass distributions are applied over opposite faces, the motions are qualitatively similar to the motions of a free bar. If unequal masses are added to opposite faces, the motions are more coupled than those of a free bar. The addition of mass to two adjacent faces leads to a yet higher degree of coupling.
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