Abstract

We consider the infinitesimally small vibration of two circular cylinders, which are immersed in a water region of infinite extent. Asumming the water to be an incompressible non-viscous fluid, and treating the problem as a two-dimensional potential problem, the author has made an analytical study of the problem, and made an estimation of the effect of surrounding water (in form of “virtual mass”) upon the vibration of two circular cylinders. It is noticed that the acceleratory motion of No.1 cylinder affects the acceleration of No. 2 cylinder, thus, causing an effect very much similar to the phenomenon of “mutual inductance” in the theory of coupled (inductive) electric circuits.

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