Abstract
The effect of the dynamic loading history on the free vibrations of an elastic-hereditary oscillator is examined. The response of the material is described by an integral relation of the heriditary type with an exponential-fractional relaxation kernel. An integrooperator representation of the starting equation makes it possible to obtain a closed solution to the problem of free vibrations of an elastic-heriditary oscillator for certain specific loading histories. The results are illustrated with reference to polyamide (kapron).
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