Hydrodynamic Impact-Induced Vibration Characteristics of a Uniform Euler-Bernoulli Beam

A hydroelastic analysis of slain-induced beam vibration is presented. The objective of the paper is to provide response spectra for transient water-structure dynamics subject to typical impact loads and time scales. Assuming small deflections of the Euler-Bernoulli beam, normal mode summation is used to calculate the dynamic deflections in space and time. The modal governing differential equation is non-dimensionalized in space and time, and the dynamic load factor (DLF) of the loading are numerically evaluated. The modal participation spectra relative to the dominant fundamental mode for various impact speeds is used to establish modal truncation guidelines. The effect of the fluid inertia on the DLF is examined in the two limits of dry vibrations and completely wet vibrations.