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Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
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Comprehensive vibrational dynamics of half-open fluid-filled shells.

Markus Lendermann1, Jin Ming Koh1, Joel Shi Quan Tan2

  • 1Science and Math Cluster, Singapore University of Technology and Design (SUTD), 8 Somapah Road, S487372, Singapore.

Proceedings. Mathematical, Physical, and Engineering Sciences
|August 20, 2019
PubMed
Summary

This study presents a new theory for fluid-filled shells, improving accuracy for vibrational analysis. The framework accurately models shell deformation and fluid dynamics for diverse applications.

Keywords:
acousticselastic shellsfluid–structure interactionstructural dampingvibrational analysisviscous damping

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Area of Science:

  • Acoustics
  • Mechanical Engineering
  • Fluid Dynamics

Background:

  • Fluid-filled shells are common in nature and engineering, like musical instruments.
  • Current models for shell vibration are either too simple for accuracy or too complex for insight.

Purpose of the Study:

  • To develop a versatile theoretical framework for analyzing the vibrational response of fluid-filled shells.
  • To improve accuracy and tractability beyond existing simplified or black-box computational methods.

Main Methods:

  • Derivation of a theoretical framework for elastic shell deformation and fluid dissipation.
  • Accommodation of arbitrary axisymmetric shell geometries and fluid levels.
  • Experimental verification across various geometries, fluid levels, and viscosities.

Main Results:

  • The new theory accurately predicts vibrational response for diverse fluid-filled shell configurations.
  • The model successfully incorporates structural and viscous dissipation.
  • An extension of the model for shells with internal objects was also validated.

Conclusions:

  • The developed theoretical framework offers a significant advance in understanding fluid-shell vibrational dynamics.
  • This work provides a more accurate and insightful tool for engineering applications and manufacturing quality control.