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Using FE analysis, this work fully devoted to added masses determination of the
plate in infinite liquid in the case of different movements. Various forms and sizes of the plate
are considered. The problem consists of two parts: first is studying of the plate motion in
liquid as rigid; second is studying of the plate vibrations in its own modes, fixed with a hard
screen and contacting with liquid by one side. The condition observance of liquid
environment continuity leads to the Laplace equation, which is solved by using numerical
approach. Finite element analysis of steady state problem is performed for added masses
determination using thermal analogy. A compact analytical solution of the two considered
problems is presented. The results of finite element analysis and corresponding analytical
results of the problems are compared for the case of infinite liquid environment.
Keywords: added mass, finite element analysis, vibration mode, Laplace equation, thermal analogy, velocity potential |
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