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dc.identifier.urihttp://hdl.handle.net/1951/55674
dc.identifier.urihttp://hdl.handle.net/11401/72710
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractThis dissertation deals with the problem of task centered design of mechanisms and robotic systems via novel concept of variational kinematic geometry. The results can be extended to other field such as biomechanics, structure chemistry and protein kinematics, as well as micro- and nano- systems, in which kinematics playsan important roles. Since the early days of Industrial Revolution, machine theorists and kinematicians have sought to develop a theory to analyze and synthesize mechanisms so that engineers could approach the problem in a rational way. This dissertation introduces a task-centered approach to mechanism design using a constraint basedparadigm, and conducts a comparative study on the kinematic and the geometric constraints of the motion.Kinematic-constraint based synthesis approach, derived from the classical viewpoint that a kinematic mechanism is a collection of kinematic links connected with kinematic pairs (or joints), deals with the determination of mechanism types (type synthesis) and/or their link dimensions (dimensional synthesis). Hence, this approachis referred to as two-step-based mechanism-centric design paradigm.This dissertation advocates a geometric-constraint based approach. Following this approach, a designer would focus on the analysis of point (or line) trajectories associated with the motion, the goal of which is to obtain a trajectory that can be constructed as a geometric condition or constraint that best describes the motion.Typically this is done in a geometric constraint identification and acquisition process, i.e., by comparing various trajectories of a specified motion with known constraints from a library of mechanically realizable constraints. The resulting feasibleconstraints can be used directly for the simultaneous type and dimensional synthesis of a physical device such as mechanical linkage that generates the specified motion task. This effectively reduces the problem of mechanism synthesis to that of constraint identification and acquisition and thus bridges the gap betweentype and dimensional synthesis. Furthermore, as a mechanism is defined by a combination of geometric constraints, the geometric-constraint based approach reduces the complexity in type synthesis significantly. This approach to motion modeling has similarity to constraint based shape modeling in Variational Geometry and istherefore referred to as Variational Kinematic Geometry.
dcterms.available2012-05-15T18:07:23Z
dcterms.available2015-04-24T14:53:18Z
dcterms.contributorSamulyak, Romanen_US
dcterms.contributorJahangir S. Rastegaren_US
dcterms.contributorYu Zhouen_US
dcterms.contributorVenkat N. Krovi.en_US
dcterms.creatorWu, Jun
dcterms.dateAccepted2012-05-15T18:07:23Z
dcterms.dateAccepted2015-04-24T14:53:18Z
dcterms.dateSubmitted2012-05-15T18:07:23Z
dcterms.dateSubmitted2015-04-24T14:53:18Z
dcterms.descriptionDepartment of Mechanical Engineeringen_US
dcterms.formatMonograph
dcterms.formatApplication/PDFen_US
dcterms.identifierWu_grad.sunysb_0771E_10399.pdfen_US
dcterms.identifierhttp://hdl.handle.net/1951/55674
dcterms.identifierhttp://hdl.handle.net/11401/72710
dcterms.issued2010-12-01
dcterms.languageen_US
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dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectCAD/CAM, Geometric Constraint, Kinematics, Mechanism Design
dcterms.subjectMechanical Engineering
dcterms.titleVariational Kinematic Geometry for Task Centered Design of Mechanisms and Robotic Systems
dcterms.typeDissertation


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