DYNAMIC INTERACTIVE BEHAVIOR BETWEEN A POTENTIAL FLUID AND ELASTIC CONTAINER IN LARGE DEFORMATIONS

-Two-dimensional interaction problems of potential fluid and elastic bar (Part 1)-

Abstract

Liquid-filled tanks on a shaking table showed vibratory responses that contradicted the prediction of elementary vibration theory.
The author has been studying the responses that might be caused by the dynamic geometric nonlinear behavior of the system and showed the Lagrangian function that governs the interactive behavior between a potential fluid and elastic container in large deformations. Arbitrary Lagrangian-Eulerian Elements (ALE) were applied to the functional of the two-dimensional model, proposed a new procedure to analyze the problem, and obtained various nonlinear vibration responses corresponding to the vibratory responses in experiments using a shaking table.