{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/46151"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/46151","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Modeling of multiple layered piezoelectric actuators in active structural control","abstract":"The design and analysis of finite length, multiple layered, induced strain actuators is investigated. A model of an arbitrary multiple layered actuator is utilized to predict the applied force and moment from the i<sup>th</sup> layer onto a structure. The transverse equations of motion of a simply supported beam are derived using Timoshenko beam theory. This approach accounts for shear deformation and allows the actuator-applied moments to be directly incorporated into the equations of motion without further approximation. The model is cast in state space form and an assumed mode method is used to solve for the forced response of a nonuniform beam. Experiments are performed verifying the developed analytical model. The first experiment characterizes the dynamic properties of five different actuator/substructure configurations. Results indicate the system natural frequencies decreased and the structural damping increased with more attached actuators. Analytical predictions are shown to be in good agreement with the experimental results.","abstract_html":"The design and analysis of finite length, multiple layered, induced strain actuators is investigated. A model of an arbitrary multiple layered actuator is utilized to predict the applied force and moment from the i&lt;sup&gt;th&lt;/sup&gt; layer onto a structure. The transverse equations of motion of a simply supported beam are derived using Timoshenko beam theory. This approach accounts for shear deformation and allows the actuator-applied moments to be directly incorporated into the equations of motion without further approximation. The model is cast in state space form and an assumed mode method is used to solve for the forced response of a nonuniform beam. Experiments are performed verifying the developed analytical model. The first experiment characterizes the dynamic properties of five different actuator/substructure configurations. Results indicate the system natural frequencies decreased and the structural damping increased with more attached actuators. Analytical predictions are shown to be in good agreement with the experimental results.","abstract_has_math":false,"creators":["Richard, John S."],"institution":"Virginia Tech","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Mechanical Engineering","degree_department":"Mechanical Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1993,"date_issued":"1993","date_published":"1993","updated_at":"2026-07-22T22:19:56Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-12052009-020234"],"render_values":[{"text":"etd-12052009-020234","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/46151","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Mechanical Engineering"]},{"key":"dc:creator","label":"Author","values":["Richard, John S."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:51:09Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:51:09Z","2009-12-05"]},{"key":"dc:date.issued","label":"Date","values":["1993"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-12052009-020234"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/46151"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The design and analysis of finite length, multiple layered, induced strain actuators is investigated. A model of an arbitrary multiple layered actuator is utilized to predict the applied force and moment from the i<sup>th</sup> layer onto a structure. The transverse equations of motion of a simply supported beam are derived using Timoshenko beam theory. This approach accounts for shear deformation and allows the actuator-applied moments to be directly incorporated into the equations of motion without further approximation. The model is cast in state space form and an assumed mode method is used to solve for the forced response of a nonuniform beam. Experiments are performed verifying the developed analytical model. The first experiment characterizes the dynamic properties of five different actuator/substructure configurations. Results indicate the system natural frequencies decreased and the structural damping increased with more attached actuators. Analytical predictions are shown to be in good agreement with the experimental results."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["BTD"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Modeling of multiple layered piezoelectric actuators in active structural control"]}]}],"canonical_facts":{"dc:contributor.department":["Mechanical Engineering"],"dc:creator":["Richard, John S."],"dc:date.accessioned":["2014-03-14T21:51:09Z"],"dc:date.available":["2014-03-14T21:51:09Z","2009-12-05"],"dc:date.issued":["1993"],"dc:description.abstract":["The design and analysis of finite length, multiple layered, induced strain actuators is investigated. A model of an arbitrary multiple layered actuator is utilized to predict the applied force and moment from the i<sup>th</sup> layer onto a structure. The transverse equations of motion of a simply supported beam are derived using Timoshenko beam theory. This approach accounts for shear deformation and allows the actuator-applied moments to be directly incorporated into the equations of motion without further approximation. The model is cast in state space form and an assumed mode method is used to solve for the forced response of a nonuniform beam. Experiments are performed verifying the developed analytical model. The first experiment characterizes the dynamic properties of five different actuator/substructure configurations. Results indicate the system natural frequencies decreased and the structural damping increased with more attached actuators. 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