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Three Dimensional Viscous Finite Element Formulation For Acoustic Fluid Structure Interaction.

Lei Cheng¹, Robert D White, Karl Grosh

¹Department of Mechanical Engineering, 2350 Hayward Avenue, University of Michigan, Ann Arbor, MI 48109-2125, USA.

Computer Methods in Applied Mechanics and Engineering

|February 23, 2010

Summary

This summary is machine-generated.

A new 3D finite element model analyzes acoustic fluid-structure interaction in systems like cochlear transducers. This viscous fluid model offers a benchmark for complex geometries and material properties.

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Area of Science:

Computational mechanics
Acoustics
Biomedical engineering

Background:

Acoustic fluid-structure interaction (FSI) is crucial for understanding systems like cochlear transducers.
Accurate numerical modeling of viscous fluids interacting with structures is challenging.
Existing models may have limitations in handling complex geometries or material properties.

Purpose of the Study:

To present a novel three-dimensional viscous finite element model for acoustic fluid-structure interaction systems.
To validate the model's accuracy against experimental and existing numerical results.
To provide a benchmark solution for complex FSI analyses.

Main Methods:

Developed a 3D finite element model with a viscous acoustic fluid medium and a 2D flat structure domain.
Governed the fluid field using linearized Navier-Stokes equations with a mixed displacement/pressure formulation to prevent locking.
Modeled the structure as a Mindlin plate using Hinton-Huang's 9-noded Lagrangian element for compatibility with fluid elements.

Main Results:

The 3D finite element model demonstrated good agreement with experimental data.
Results were consistent with other established finite element method (FEM) results.
The model successfully handled irregular geometries and material properties.

Conclusions:

The developed 3D viscous finite element model is a reliable tool for analyzing acoustic FSI systems.
This model serves as a valuable benchmark for validating other numerical approaches.
The model's capability to handle complex configurations makes it applicable to diverse engineering problems.