Abstract
Most of the previous theoretical work on acoustic filtration has dealt with idealized infinite structures. The present paper is a theoretical study of finite solid filters together with an experimental check of the results obtained from the theoretical discussion. Two types of filters are considered. The first consists of a solid rod loaded at equal intervals with heavy masses; the second consists of a structure in which rods of one material are alternated with rods of a second material, each pair of rods being similar to the next pair. Expressions are derived for the power transmission ratios and for the phase changes which occur between successive sections of the filters. Experimental filters, which were designed to approximate the theoretical considerations, are tested for their transmission characteristics. The acoustical system is set into vibration by a modified dynamic speaker unit. The vibrations in the system are detected by phonograph pickups. Satisfactory agreement of theory and experiment is obtained.
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