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dc.contributor.authorZhang, Xinyuen_US
dc.date.accessioned2014-03-14T20:13:55Z
dc.date.available2014-03-14T20:13:55Z
dc.date.issued2005-06-15en_US
dc.identifier.otheretd-07122005-091333en_US
dc.identifier.urihttp://hdl.handle.net/10919/28270
dc.description.abstractB-spline surfaces have been widely used in aircraft design to represent different types of components in a uniform format. Unlike the visual trimming of B-spline surfaces, which hides unwanted portions in rendering, the geometric trimming approach provides a mathematically clean representation. This dissertation focuses on the geometric trimming of fuselage and wing components represented by B-spline surfaces. To trim two intersecting surfaces requires finding their intersections effectively. Most of the existing algorithms focus on providing intersections suitable for rendering. In this dissertation, an intersection algorithm suitable for geometric trimming of B-spline surfaces is presented. The number of intersection points depends on the number of isoparametric curves selected, and thus is controllable and independent of the error bound of intersection points. Trimming curves are classified and a new scheme for trimming by a closed trimming curve is provided to improve the accuracy. The surface trimmed by a closed trimming curve is subdivided into four patches and the trimming curve is converted into two open trimming curves. Two surface patches are created by knot insertion, which match the original surface exactly. The other two surface patches are trimmed by the converted open trimming curves. Factors affecting the trimming process are discussed and metrics are provided to measure trimming errors. Exact trimming is precluded due to the high degree of intersections. The process may lead to significant deviation from the corresponding portion on the original surface. Optimizations are employed to minimize approximation errors and obtain higher accuracy. The hybrid Parallel Tempering and Simulated Annealing optimization method, which is an effective algorithm to overcome the slow convergence waiting dilemma and initial value sensitivity, is applied for the minimization of B-spline surface representation errors. The results confirm that trimming errors are successfully reduced.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartdissertation.pdfen_US
dc.relation.haspartdissertation.2.pdfen_US
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectGeometric modelingen_US
dc.subjectgeometric trimmingen_US
dc.subjectb-splineen_US
dc.subjectoptimizationen_US
dc.subjectaircraft designen_US
dc.subjectintersection algorithmen_US
dc.titleOptimal Geometric Trimming of B-spline Surfaces for Aircraft Designen_US
dc.typeDissertationen_US
dc.contributor.departmentMechanical Engineeringen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMechanical Engineeringen_US
dc.contributor.committeechairMyklebust, Arviden_US
dc.contributor.committeememberBohn, Jan Helgeen_US
dc.contributor.committeememberMason, William H.en_US
dc.contributor.committeememberO'Brien, Walter F. Jr.en_US
dc.contributor.committeememberDeisenroth, Michael P.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07122005-091333/en_US
dc.date.sdate2005-07-12en_US
dc.date.rdate2005-07-22
dc.date.adate2005-07-22en_US


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