The method of matched eigenfunction expansions is applied in this paper to obtain the hydrodynamic coefficients of a pair of coaxial cylinders, each of which can have independent movement. The geometry idealizes a device for extracting ocean wave energy in the heave mode. The effects of geometric variations and the interaction between cylinders on the hydrodynamic properties are discussed. Analytical expressions for the low-frequency behavior of the hydrodynamic coefficients are also derived. The wave-exciting force on the bottom surface of either one of the cylinders is derived using the radiation solutions, with a generalized form of the Haskind relation developed for this geometry. The presented results are immediately applicable to examine free motion of coaxial cylinders in a wave field.

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