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Numerical methods in wave propagation in periodic structures

Numerical methods in wave propagation in periodic structures
Numerical methods in wave propagation in periodic structures

This work describes a computer oriented study in wave propagation in periodic structures.

A simple introduction is first provided to review the concept of propagation constant and to lay down the basic terminology and ideas for subsequent development.

A general matrix theory of free wave propagation in general linear periodic structures is constructed. A general equation for the propagation constant is derived.

Stringer-stiffened plates and ring-stiffened cylinders undergoing only axi-symmetric motion are analysed by using this general theory. The effect of coupling between transverse and torsional movement of a support (stringer) is considered.

Numerical methods for the computation of the field transfer matrix are analysed and modifications introduced, where appropriate, to Increase accuracy and speed up computation time.

Free wave propagation in stringer-stiffened cylindrical shells and ring-stiffened cylinders undergoing general vibration motion is analysed by using the general method. The frequency dependence of the propagation constant is discussed.

The concept of complex wave component is introduced and used in the construction of a general matrix wave theory of the response of finite and infinite periodic systems to concentrated harmonic forces. This theory is applied to finite and infinite stringer-stiffened plates and shells.

A general theory of the response of finite and infinite systems to a convected harmonic pressure field is derived and applied to stringer stiffened plates and shells.

University of Southampton
de Espindola, Jose J.
3c89f4c3-84f1-4e82-a89b-1125bfae984d
de Espindola, Jose J.
3c89f4c3-84f1-4e82-a89b-1125bfae984d
Mead, D.J.
40b88582-f349-4478-b0b2-c562ae425cfd

de Espindola, Jose J. (1974) Numerical methods in wave propagation in periodic structures. University of Southampton, Institute of Sound and Vibration Research, Doctoral Thesis, 226pp.

Record type: Thesis (Doctoral)

Abstract

This work describes a computer oriented study in wave propagation in periodic structures.

A simple introduction is first provided to review the concept of propagation constant and to lay down the basic terminology and ideas for subsequent development.

A general matrix theory of free wave propagation in general linear periodic structures is constructed. A general equation for the propagation constant is derived.

Stringer-stiffened plates and ring-stiffened cylinders undergoing only axi-symmetric motion are analysed by using this general theory. The effect of coupling between transverse and torsional movement of a support (stringer) is considered.

Numerical methods for the computation of the field transfer matrix are analysed and modifications introduced, where appropriate, to Increase accuracy and speed up computation time.

Free wave propagation in stringer-stiffened cylindrical shells and ring-stiffened cylinders undergoing general vibration motion is analysed by using the general method. The frequency dependence of the propagation constant is discussed.

The concept of complex wave component is introduced and used in the construction of a general matrix wave theory of the response of finite and infinite periodic systems to concentrated harmonic forces. This theory is applied to finite and infinite stringer-stiffened plates and shells.

A general theory of the response of finite and infinite systems to a convected harmonic pressure field is derived and applied to stringer stiffened plates and shells.

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de Espindola 1974 Thesis - Version of Record
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More information

Published date: May 1974
Organisations: University of Southampton

Identifiers

Local EPrints ID: 52130
URI: http://eprints.soton.ac.uk/id/eprint/52130
PURE UUID: 24f2daf4-dd54-4825-bcf0-23c128a21ec1

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Date deposited: 08 Jul 2008
Last modified: 20 Aug 2025 23:51

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Contributors

Author: Jose J. de Espindola
Thesis advisor: D.J. Mead

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