Numerical methods in wave propagation in periodic structures

<p class="MsoNormal">This work describes a computer oriented study in wave propagation in periodic structures.</p> <p class="MsoNormal">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.</p> <p class="MsoNormal">A general matrix theory of free wave propagation in general linear periodic structures is constructed. A general equation for the propagation constant is derived.</p> <p class="MsoNormal">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.</p> <p class="MsoNormal">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.</p> <p class="MsoNormal">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.</p><p class="MsoNormal">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.</p> <p class="MsoNormal">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.</p>

Name dc:type.qualificationname

Ph.D.

Level dc:type.qualificationlevel

doctoral

Grantor dc:publisher.institution

University of Southampton

Year dc:date.issued

1974

Author dc:creator

• de Espindola, Jose J.

Advisor dc:contributor.advisor

• Mead, D.J.