Abstract

An analytical solution is determined for the motion of an infinite elastic plate, excited by a torsional moment. The driving moment is sinusoidal in time and applied to an indenter with a circular base, fixed to the plate. The indenter is assumed to be soft; e.g., the stress applied by the indenter is assumed to be proportional to r, where r is the distance from the center of the indenter to the point under consideration. The solution is evaluated for arbitrary values of r but restricted to the case of low frequencies. It is shown that the input admittance due to a soft indenter is larger than in the case of a rigid indenter and that the results for both cases, with consideration of the different stress distributions, are supported by the results previously given for a perfectly rigid indenter (obtained with mixed boundary conditions).

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