{"id":{"repo_id":"embry-riddle","oai_identifier":"oai:commons.erau.edu:db-theses-1064"},"canonical_url":"https://search.dev.ndltd.org/etd/embry-riddle/oai:commons.erau.edu:db-theses-1064","repository":{"repo_id":"embry-riddle","name":"Embry Riddle Aeronautical University","base_url":"https://commons.erau.edu/do/oai/"},"display":{"title":"Combined Loading of Composite Box-Beams with Linearized Differential Equations of Motion","abstract":"<p>The purpose of the following analysis is to develop a method for determining vertical, horizontal, and torsional displacements of arbitrarily laminated, cantilevered composite box-beam under static, transverse loading. Small deflections are assumed and the differential equations of motion have been linearized for ease of calculation. The Smith and Chopra stiffness matrix is used in the equations of motion, and software was written to solve for the stiffness matrix elements. Comparisons are made with bending slope solutions from previously published results, and the presented analysis is compared to empirical results of a composite box-beam under tip loading. Finally, an example solution for vertical, horizontal, and torsional displacements is presented for aerodynamic-type loading.</p>","abstract_html":"&lt;p&gt;The purpose of the following analysis is to develop a method for determining vertical, horizontal, and torsional displacements of arbitrarily laminated, cantilevered composite box-beam under static, transverse loading. Small deflections are assumed and the differential equations of motion have been linearized for ease of calculation. The Smith and Chopra stiffness matrix is used in the equations of motion, and software was written to solve for the stiffness matrix elements. Comparisons are made with bending slope solutions from previously published results, and the presented analysis is compared to empirical results of a composite box-beam under tip loading. Finally, an example solution for vertical, horizontal, and torsional displacements is presented for aerodynamic-type loading.&lt;/p&gt;","abstract_has_math":false,"creators":["DuPuis, Michael Alan"],"institution":null,"degree_name":"Master of Aerospace Engineering","degree_level":"Thesis - Open Access","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":["Habib Eslami","Eric v. K. Hill","Frank Radosta"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2000,"date_issued":"2000-12-01T08:00:00Z","date_published":"2000-12-01T08:00:00Z","updated_at":"2026-07-27T19:26:28Z","subjects":["composite box-beams","combined loading","differential equations","Aerospace Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://commons.erau.edu/db-theses/293","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Habib Eslami","Eric v. K. Hill","Frank Radosta"]},{"key":"dc:creator","label":"Author","values":["DuPuis, Michael Alan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - Open Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Aerospace Engineering"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["composite box-beams","combined loading","differential equations","Aerospace Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://commons.erau.edu/db-theses/293"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>The purpose of the following analysis is to develop a method for determining vertical, horizontal, and torsional displacements of arbitrarily laminated, cantilevered composite box-beam under static, transverse loading. Small deflections are assumed and the differential equations of motion have been linearized for ease of calculation. The Smith and Chopra stiffness matrix is used in the equations of motion, and software was written to solve for the stiffness matrix elements. Comparisons are made with bending slope solutions from previously published results, and the presented analysis is compared to empirical results of a composite box-beam under tip loading. Finally, an example solution for vertical, horizontal, and torsional displacements is presented for aerodynamic-type loading.</p>"]},{"key":"dc:title","label":"Title","values":["Combined Loading of Composite Box-Beams with Linearized Differential Equations of Motion"]}]}],"canonical_facts":{"dc:contributor":["Habib Eslami","Eric v. K. Hill","Frank Radosta"],"dc:creator":["DuPuis, Michael Alan"],"dc:description.abstract":["<p>The purpose of the following analysis is to develop a method for determining vertical, horizontal, and torsional displacements of arbitrarily laminated, cantilevered composite box-beam under static, transverse loading. Small deflections are assumed and the differential equations of motion have been linearized for ease of calculation. The Smith and Chopra stiffness matrix is used in the equations of motion, and software was written to solve for the stiffness matrix elements. Comparisons are made with bending slope solutions from previously published results, and the presented analysis is compared to empirical results of a composite box-beam under tip loading. Finally, an example solution for vertical, horizontal, and torsional displacements is presented for aerodynamic-type loading.</p>"],"dc:identifier":["https://commons.erau.edu/db-theses/293"],"dc:subject":["composite box-beams","combined loading","differential equations","Aerospace Engineering"],"dc:title":["Combined Loading of Composite Box-Beams with Linearized Differential Equations of Motion"],"thesis:degree_discipline":["Aerospace Engineering"],"thesis:degree_level":["Thesis - Open Access"],"thesis:degree_name":["Master of Aerospace Engineering"]},"updated_at":"2026-07-27T19:26:28Z"}