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Wave based analysis of the Green's function for a layered cylindrical shell.

Elizabeth A Magliula¹, J Gregory McDaniel

¹NAVSEA Newport, Newport, Rhode Island 02841-5047, USA. elizabeth.magliula@navy.mil

The Journal of the Acoustical Society of America

|July 12, 2012

Summary

This study presents a wave-based method to analyze elastic wave propagation in layered cylindrical shells. The findings aid in designing shells with specific anisotropic properties for advanced applications.

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Area of Science:

Mechanical Engineering
Materials Science
Acoustics

Background:

Layered cylindrical shells are crucial in various engineering applications.
Understanding elastic wave propagation in these structures is essential for design and performance.
Anisotropy in shell layers significantly influences wave behavior.

Purpose of the Study:

To develop a wave-based analysis for the Green's function of layered cylindrical shells.
To provide a tool for designing shells with controlled elastic wave generation and propagation.
To investigate the impact of anisotropic layers on wave dynamics.

Main Methods:

Utilized finite element discretizations in the radial coordinate.
Employed Fourier series expansions in the circumferential coordinate.
Developed a state-space formulation with residue integration for axial domain inversion.

Main Results:

Derived an expression for the Green's function as a sum of natural waves.
The method accommodates arbitrarily thick shells due to radial discretization.
Demonstrated the influence of fiber orientation in anisotropic materials on the Green's function.

Conclusions:

The developed wave-based analysis effectively characterizes elastic wave propagation in layered cylindrical shells.
The approach allows for detailed study of anisotropic effects on wave behavior.
This work provides a valuable tool for the design of advanced composite cylindrical structures.