Vibrations of a floating beam on marine waves

Abstract

Small vertical vibrations of a horizontal floating towed beam on marine waves are consid ered. The beam bending stiffness, attached mass of water, and water resistance forces are taken into account. The theory of small gravitational waves is adopted in the wave action description. It is assumed that the water motion is plane harmonic or stationary random. The directions of propagation and towing of beams coincide [11, Fig. 6].

On waves in multi-scale chiral elastic systems

“…Tovstik addressed several classes of spectral problems, which concern the stability of lower dimensional elastic solids in addition to vibrations of beams and plates in the context of the multi-physics framework. This includes a generalisation of the classical Kapitza problem, the important problem of stability of an elastic rod on the vibrating foundation [1], elegant analysis of vibrations of an elastic layer in contact with a soft solid [2], vibrations of a floating beam on marine waves [3], and important practical applications such as the dynamics of a marine offshore platform subjected to the action of random waves [4,5].…”