This paper first presents the results of the solution of the problem of the longitudinally vibrating beam with a terminal dashpot, some of the more interesting features of which are explained in detail. A brief statement is also given of the corresponding results in the single-degree-of-freedom system. Following this, the results for the laterally vibrating cantilever beam with a terminal dashpot are discussed; the details of this analysis are stated; and a résumé of the general results are presented.

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