Optimal Geometric Trimming of B-spline Surfaces for Aircraft Design

dc.contributor.authorZhang, Xinyuen
dc.contributor.committeechairMyklebust, Arviden
dc.contributor.committeememberBohn, Jan Helgeen
dc.contributor.committeememberMason, William H.en
dc.contributor.committeememberO'Brien, Walter F. Jr.en
dc.contributor.committeememberDeisenroth, Michael P.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T20:13:55Zen
dc.date.adate2005-07-22en
dc.date.available2014-03-14T20:13:55Zen
dc.date.issued2005-06-15en
dc.date.rdate2005-07-22en
dc.date.sdate2005-07-12en
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
dc.description.degreePh. D.en
dc.identifier.otheretd-07122005-091333en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07122005-091333/en
dc.identifier.urihttp://hdl.handle.net/10919/28270en
dc.publisherVirginia Techen
dc.relation.haspartdissertation.pdfen
dc.relation.haspartdissertation.2.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectGeometric modelingen
dc.subjectgeometric trimmingen
dc.subjectb-splineen
dc.subjectOptimizationen
dc.subjectaircraft designen
dc.subjectintersection algorithmen
dc.titleOptimal Geometric Trimming of B-spline Surfaces for Aircraft Designen
dc.typeDissertationen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
Files
Original bundle
Now showing 1 - 2 of 2
Loading...
Thumbnail Image
Name:
dissertation.pdf
Size:
162.97 KB
Format:
Adobe Portable Document Format
Loading...
Thumbnail Image
Name:
dissertation.2.pdf
Size:
11.01 MB
Format:
Adobe Portable Document Format