{"id":{"repo_id":"soton","oai_identifier":"oai:eprints.soton.ac.uk:52130"},"canonical_url":"https://search.dev.ndltd.org/etd/soton/oai:eprints.soton.ac.uk:52130","repository":{"repo_id":"soton","name":"University of Southampton","base_url":"https://eprints.soton.ac.uk/cgi/oai2"},"display":{"title":"Numerical methods in wave propagation in periodic structures","abstract":"<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>","abstract_html":"&lt;p class=&quot;MsoNormal&quot;&gt;This work describes a computer oriented study in wave propagation in periodic structures.&lt;/p&gt; &lt;p class=&quot;MsoNormal&quot;&gt;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.&lt;/p&gt; &lt;p class=&quot;MsoNormal&quot;&gt;A general matrix theory of free wave propagation in general linear periodic structures is constructed. A general equation for the propagation constant is derived.&lt;/p&gt; &lt;p class=&quot;MsoNormal&quot;&gt;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.&lt;/p&gt; &lt;p class=&quot;MsoNormal&quot;&gt;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.&lt;/p&gt; &lt;p class=&quot;MsoNormal&quot;&gt;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.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;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.&lt;/p&gt; &lt;p class=&quot;MsoNormal&quot;&gt;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.&lt;/p&gt;","abstract_has_math":false,"creators":["de Espindola, Jose J."],"institution":"University of Southampton","degree_name":"Ph.D.","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Mead, D.J."],"committee_chairs":[],"committee_members":[],"year":1974,"date_issued":"1974-05","date_published":"1974-05","updated_at":"2026-07-24T04:35:50Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Mead, D.J."]},{"key":"dc:creator","label":"Author","values":["de Espindola, Jose J."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1974-05"]},{"key":"dc:date.issued","label":"Date","values":["1974-05"]},{"key":"dc:publisher.commercial","label":"Dc Publisher Commercial","values":["University of Southampton"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Institute of Sound & Vibration Research (pre 2011 reorg)","Institute of Sound and Vibration Research"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Southampton"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://eprints.soton.ac.uk/52130/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Ph.D."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://eprints.soton.ac.uk/52130/1/74106118.pdf","https://eprints.soton.ac.uk/52130/2/000166.PDF"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<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>"]},{"key":"dc:format","label":"Dc Format","values":["text","application/octet-stream"]},{"key":"dc:title","label":"Title","values":["Numerical methods in wave propagation in periodic structures"]}]}],"canonical_facts":{"dc:contributor.advisor":["Mead, D.J."],"dc:creator":["de Espindola, Jose J."],"dc:date":["1974-05"],"dc:date.issued":["1974-05"],"dc:description.abstract":["<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>"],"dc:format":["text","application/octet-stream"],"dc:identifier.uri":["https://eprints.soton.ac.uk/52130/1/74106118.pdf","https://eprints.soton.ac.uk/52130/2/000166.PDF"],"dc:publisher.commercial":["University of Southampton"],"dc:publisher.department":["Institute of Sound & Vibration Research (pre 2011 reorg)","Institute of Sound and Vibration Research"],"dc:publisher.institution":["University of Southampton"],"dc:relation.isreferencedby":["https://eprints.soton.ac.uk/52130/"],"dc:title":["Numerical methods in wave propagation in periodic structures"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["Ph.D."]},"updated_at":"2026-07-24T04:35:50Z"}