INTERPOLATION OF RIGID-BODY MOTION AND GALERKIN METHODS FOR FLEXIBLE MULTIBODY DYNAMICS

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dc.contributor.advisorBauchau, Olivier A.en_US
dc.contributor.authorHan, Shileien_US
dc.contributor.departmentAerospace Engineeringen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2020-02-01T06:36:58Z
dc.date.available2020-02-01T06:36:58Z
dc.date.issued2019en_US
dc.description.abstractTraditionally, flexible multibody dynamics problems are formulated as initial value problems: initial states of the system are given and solving for the equations of motion yields the dynamic response. Many practical problems, however, are boundary rather than initial value problems; two-point and periodic boundary problems, in particular, are quite common. For instance, the trajectory optimization of robotic arms and spacecrafts is formulated as a two-point boundary value problem; determination of the periodic dynamic response of helicopter and wind turbine blades is formulated as a periodic boundary value problem; the analysis of the stability of these periodic solutions is another important of problem. The objective of this thesis is to develop a unified solution procedure for both initial and boundary value problems. Galerkin methods provide a suitable framework for the development of such solvers. Galerkin methods require interpolation schemes that approximate the unknown rigid-body motion fields. Novel interpolation schemes for rigid-body motions are proposed based on minimization of eighted distance measures of rigid-body motions. Based on the proposed interpolation schemes, a unified continuous/discontinuous Galerkin solver is developed for the formulation of geometrically exact beams, for the determination of solutions of initial and periodic boundary value problems, for the stability analysis of periodic solutions, and for the optimal control/optimization problems of flexible multibody systems.en_US
dc.identifierhttps://doi.org/10.13016/kpk4-wsbi
dc.identifier.urihttp://hdl.handle.net/1903/25414
dc.language.isoenen_US
dc.subject.pqcontrolledMechanicsen_US
dc.subject.pqcontrolledAerospace engineeringen_US
dc.subject.pqcontrolledMechanical engineeringen_US
dc.subject.pquncontrolledFlexible Multibody Dynamicsen_US
dc.subject.pquncontrolledGalerkin methoden_US
dc.subject.pquncontrolledOptimal Controlen_US
dc.subject.pquncontrolledPeriodic Problemen_US
dc.subject.pquncontrolledStabilityen_US
dc.subject.pquncontrolledTime integrationen_US
dc.titleINTERPOLATION OF RIGID-BODY MOTION AND GALERKIN METHODS FOR FLEXIBLE MULTIBODY DYNAMICSen_US
dc.typeDissertationen_US

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