dc.contributor.author Rykkje, Thorstein Ravneberg dc.date.accessioned 2018-08-27T16:15:16Z dc.date.available 2018-08-27T16:15:16Z dc.date.issued 2018-06-27 dc.date.submitted 2018-06-26T22:00:12Z dc.identifier.uri https://hdl.handle.net/1956/18264 dc.description.abstract This 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. en_US dc.language.iso eng eng dc.publisher The University of Bergen en_US dc.subject Lie groups eng dc.subject principle of virtual work eng dc.subject Rigid bodies eng dc.subject Real world model eng dc.subject Moving frame method eng dc.subject Hamilton equations of motion eng dc.title Lie 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 engineering en_US dc.type Master thesis dc.date.updated 2018-06-26T22:00:12Z dc.rights.holder Copyright the Author. All rights reserved en_US dc.description.degree Masteroppgave i anvendt og beregningsorientert matematikk en_US dc.description.localcode MAMN-MAB dc.description.localcode MAB399 dc.subject.nus 753109 eng fs.subjectcode MAB399 fs.unitcode 12-11-0
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