{"id":{"repo_id":"nps","oai_identifier":"oai:calhoun.nps.edu:10945/24639"},"canonical_url":"https://search.dev.ndltd.org/etd/nps/oai:calhoun.nps.edu:10945/24639","repository":{"repo_id":"nps","name":"Naval Postgraduate School","base_url":"https://calhoun.nps.edu/server/oai/request"},"display":{"title":"Computer simulation of finite amplitude standing waves in rigid-walled ducts.","abstract":"The Coppens-Sanders theory for the one-dimensional, nonlinear, acoustic wave equation with dissipative term describing the viscous and thermal energy losses encountered in a rigid-walled, closed tube of large length-to-diameter ratio was applied to finite-amplitude standing waves by the use of the Fast Fourier Transform. Computer programs were written to determine the amplitudes and phases of the first 255 harmonics. Curves of harmonic distortion as a function of the strength parameter were found to be in excellent agreement with available experimental data, to agree with the Coppens-Sanders perturbation analysis, and to extend the theoretically describable regime closer to strengths leading to the formation of the shock front.","abstract_html":"The Coppens-Sanders theory for the one-dimensional, nonlinear, acoustic wave equation with dissipative term describing the viscous and thermal energy losses encountered in a rigid-walled, closed tube of large length-to-diameter ratio was applied to finite-amplitude standing waves by the use of the Fast Fourier Transform. Computer programs were written to determine the amplitudes and phases of the first 255 harmonics. Curves of harmonic distortion as a function of the strength parameter were found to be in excellent agreement with available experimental data, to agree with the Coppens-Sanders perturbation analysis, and to extend the theoretically describable regime closer to strengths leading to the formation of the shock front.","abstract_has_math":false,"creators":["Kadlick, Richard Mark"],"institution":"Monterey, California. Naval Postgraduate School","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Physics","school":null,"contributors":[],"advisors":["Coppens, Alan B."],"committee_chairs":[],"committee_members":[],"year":1969,"date_issued":"1969-06","date_published":"1969-06","updated_at":"2026-07-27T20:24:46Z","subjects":[],"languages":["en_US"],"rights":["This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/10945/24639","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Coppens, Alan B."]},{"key":"dc:contributor.department","label":"Department","values":["Physics"]},{"key":"dc:creator","label":"Author","values":["Kadlick, Richard Mark"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["June 1969"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2012-12-26T23:07:38Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2012-12-26T23:07:38Z"]},{"key":"dc:date.issued","label":"Date","values":["1969-06"]},{"key":"dc:publisher","label":"Institution","values":["Monterey, California. Naval Postgraduate School"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10945/24639"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The Coppens-Sanders theory for the one-dimensional, nonlinear, acoustic wave equation with dissipative term describing the viscous and thermal energy losses encountered in a rigid-walled, closed tube of large length-to-diameter ratio was applied to finite-amplitude standing waves by the use of the Fast Fourier Transform. Computer programs were written to determine the amplitudes and phases of the first 255 harmonics. Curves of harmonic distortion as a function of the strength parameter were found to be in excellent agreement with available experimental data, to agree with the Coppens-Sanders perturbation analysis, and to extend the theoretically describable regime closer to strengths leading to the formation of the shock front."]},{"key":"dc:title","label":"Title","values":["Computer simulation of finite amplitude standing waves in rigid-walled ducts."]}]}],"canonical_facts":{"dc:contributor.advisor":["Coppens, Alan B."],"dc:contributor.department":["Physics"],"dc:creator":["Kadlick, Richard Mark"],"dc:date":["June 1969"],"dc:date.accessioned":["2012-12-26T23:07:38Z"],"dc:date.available":["2012-12-26T23:07:38Z"],"dc:date.issued":["1969-06"],"dc:description.abstract":["The Coppens-Sanders theory for the one-dimensional, nonlinear, acoustic wave equation with dissipative term describing the viscous and thermal energy losses encountered in a rigid-walled, closed tube of large length-to-diameter ratio was applied to finite-amplitude standing waves by the use of the Fast Fourier Transform. Computer programs were written to determine the amplitudes and phases of the first 255 harmonics. Curves of harmonic distortion as a function of the strength parameter were found to be in excellent agreement with available experimental data, to agree with the Coppens-Sanders perturbation analysis, and to extend the theoretically describable regime closer to strengths leading to the formation of the shock front."],"dc:identifier.uri":["https://hdl.handle.net/10945/24639"],"dc:language.iso":["en_US"],"dc:publisher":["Monterey, California. Naval Postgraduate School"],"dc:rights":["This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States."],"dc:title":["Computer simulation of finite amplitude standing waves in rigid-walled ducts."],"dc:type":["Thesis"]},"updated_at":"2026-07-27T20:24:46Z"}