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dc.contributor.authorRykkje, Thorstein Ravneberg
dc.date.accessioned2018-08-27T16:15:16Z
dc.date.available2018-08-27T16:15:16Z
dc.date.issued2018-06-27
dc.date.submitted2018-06-26T22:00:12Z
dc.identifier.urihttp://hdl.handle.net/1956/18264
dc.description.abstractThis thesis explores the possibility of a generic algorithm for systems of linked rigid bodies using the moving frame method (MFM) in engineering developed by H. Murakami and T.Impelluso. The project entails the construction of a generic algorithm for the equations of motion and the validation of the equations generated by said algorithm. The validation is done by comparing the equations of motion generated by the algorithm to equations evaluated manually. Furthermore, the resulting behavior from integration is compared to those from the Hamilton canonical equations of motion. Finally, a real-life model is built to see if the theory holds in reality. Naturally, when taking the step to bring in reality, friction and air resistance will have to be taken into account. Therefore, the equations of motion were supplemented with friction models constructed to match the movement of the real-life model.eng
dc.language.isoengeng
dc.publisherThe University of Bergeneng
dc.subjectLie groupseng
dc.subjectprinciple of virtual workeng
dc.subjectRigid bodieseng
dc.subjectReal world modeleng
dc.subjectMoving frame methodeng
dc.subjectHamilton equations of motioneng
dc.titleLie Groups and the Principle of Virtual Work Applied to Systems of Linked Rigid Bodies. A generic algorithm for the equations of motion using the moving frame method in engineeringeng
dc.typeMaster thesiseng
dc.type.degreeMasteroppgave i anvendt og beregningsorientert matematikkeng
dc.type.courseMAB399eng
dc.subject.archivecodeMastergradeng
dc.subject.nus753109eng
dc.type.programMAMN-MABeng
dc.date.updated2018-06-26T22:00:12Z
dc.rights.holderCopyright the Author. All rights reservedeng
bora.peerreviewedNot peer reviewedeng
fs.gradepass
fs.unitcode12-11-0


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