Numerical Simulation of Dynamic Deformation in Solid-Fluid System by Monolithic Approach of FEM using Three-Element Solid Model

Abstract

The interaction problem of solid-fluid systems can be simulated by using unified constitutive models. One such model is the three-element solid model and it is useful for analyzing the dynamics concerning the deformation of the interaction problem. The model is also applied to analyze vibration absorption problems in systems. In this study, the dynamics of a solid-fluid system is numerically analyzed to investigate the absorption problem by using the three-element solid model. The monolithic approach of FEM using the model is applied to simulate the vibration phenomena of an elastic vessel filled with a viscous fluid. The FEM using the three-element solid model is formulated by the dynamic explicit method that is digitized by the central difference method in its time scale. Here, the behavior of the fluid is represented by neglecting the Young's modulus in the constitutive model. Some material properties are applied to represent the behavior of the vessel and the fluid, and the simulated results are evaluated based on the response variation of the power spectral density for design sensitivity. Then it is known that the dominant factor of the absorber can be analyzed by the monolithic approach of FEM using the three-element solid model. An absorber system based on the analysis of the interaction problem can be optimized by tuning its eigenfrequency.