{"id":{"repo_id":"nps","oai_identifier":"oai:calhoun.nps.edu:10945/34883"},"canonical_url":"https://search.dev.ndltd.org/etd/nps/oai:calhoun.nps.edu:10945/34883","repository":{"repo_id":"nps","name":"Naval Postgraduate School","base_url":"https://calhoun.nps.edu/server/oai/request"},"display":{"title":"Vibration of a cantilever beam that slides axially in a rigid frictionless hole","abstract":"In 1979, Boresi and Salinas prepared a report that formulates the problem and proposes a solution procedure. The report was the result of an interest in the transient behavior of a gun barrel during recoil following firing. This research considers a cantilever beam which can move axially in and out of a rigid frictionless hole and is free to vibrate laterally outside the hole. Two Euler equations describing the lateral and axial motion of the beam are presented. A transformation of coordinates to eliminate the moving boundary, and spatial non dimensionalization are used to transform the problem into a system of two coupled non linear partial differential equations with a fixed domain. A finite element formulation provides a numerical solution to the problem.","abstract_html":"In 1979, Boresi and Salinas prepared a report that formulates the problem and proposes a solution procedure. The report was the result of an interest in the transient behavior of a gun barrel during recoil following firing. This research considers a cantilever beam which can move axially in and out of a rigid frictionless hole and is free to vibrate laterally outside the hole. Two Euler equations describing the lateral and axial motion of the beam are presented. A transformation of coordinates to eliminate the moving boundary, and spatial non dimensionalization are used to transform the problem into a system of two coupled non linear partial differential equations with a fixed domain. A finite element formulation provides a numerical solution to the problem.","abstract_has_math":false,"creators":["DeVries, Mark R."],"institution":"Monterey, CA; Naval Postgraduate School","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Mechanical Engineering","school":null,"contributors":[],"advisors":["Salinas, David"],"committee_chairs":[],"committee_members":[],"year":1990,"date_issued":"1990-09","date_published":"1990-09","updated_at":"2026-07-27T20:25:53Z","subjects":[],"languages":[],"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/10945/34883","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Salinas, David"]},{"key":"dc:contributor.department","label":"Department","values":["Mechanical Engineering"]},{"key":"dc:creator","label":"Author","values":["DeVries, Mark R."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1990-09"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2013-08-01T21:15:39Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2013-08-01T21:15:39Z"]},{"key":"dc:date.issued","label":"Date","values":["1990-09"]},{"key":"dc:publisher","label":"Institution","values":["Monterey, CA; Naval Postgraduate School"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"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. 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A transformation of coordinates to eliminate the moving boundary, and spatial non dimensionalization are used to transform the problem into a system of two coupled non linear partial differential equations with a fixed domain. A finite element formulation provides a numerical solution to the problem."]},{"key":"dc:title","label":"Title","values":["Vibration of a cantilever beam that slides axially in a rigid frictionless hole"]}]}],"canonical_facts":{"dc:contributor.advisor":["Salinas, David"],"dc:contributor.department":["Mechanical Engineering"],"dc:creator":["DeVries, Mark R."],"dc:date":["1990-09"],"dc:date.accessioned":["2013-08-01T21:15:39Z"],"dc:date.available":["2013-08-01T21:15:39Z"],"dc:date.issued":["1990-09"],"dc:description.abstract":["In 1979, Boresi and Salinas prepared a report that formulates the problem and proposes a solution procedure. The report was the result of an interest in the transient behavior of a gun barrel during recoil following firing. This research considers a cantilever beam which can move axially in and out of a rigid frictionless hole and is free to vibrate laterally outside the hole. Two Euler equations describing the lateral and axial motion of the beam are presented. A transformation of coordinates to eliminate the moving boundary, and spatial non dimensionalization are used to transform the problem into a system of two coupled non linear partial differential equations with a fixed domain. A finite element formulation provides a numerical solution to the problem."],"dc:identifier.uri":["https://hdl.handle.net/10945/34883"],"dc:publisher":["Monterey, CA; 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":["Vibration of a cantilever beam that slides axially in a rigid frictionless hole"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T20:25:53Z"}