On the study of oscillatory motion of bodies in fluid

This article reviews a large body of research on the hydrodynamics of oscillatory motion of bodies, covering three different, yet closely related, classes of problems: the oscillations of solid cylindrical bodies in a still fluid, the elastic oscillations of elongated bodies in a fluid, and the propulsive motion of oscillating bodies (oscillatory propulsors). The findings available so far are summarized. Some key challenges are identified, and their potential solutions are proposed.