On the Vibrations of a Heterogenous String

Synge, J. L. (1980) On the Vibrations of a Heterogenous String. (Preprint)

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Abstract

It so shown that the vibrations of a heterogeneous string can be represented by an infinite series, each term of which is the result of applying a linear integral operator to a function of position and time furnished by the initial data. The method applies also to plane waves of compression or shear in a heterogeneous elastic solid for which the elastic constants and density are functions of only one coordinate, and the waves move in the direction of that coordinate.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 10 Jul 2018 14:57
Last Modified: 25 Jul 2018 11:18
URI: http://dair.dias.ie/id/eprint/907

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