空间结构曲面生成与网格划分技术研究

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1、浙江大学硕士学位论文空间结构曲面生成与网格划分技术研究姓名：公晓莺申请学位级别：硕士专业：结构工程指导教师：罗尧治20040301ABSTRACT2004年浙江人‘学顾f‘学位论文ReachonGeneratingFreeSpaceSurfaceandMeshTechnologyAnefficientmethodforfreesurfacedesigningiscalledforastheresultofincreasingindividuationandmultiformityofarchitecture．It’sdifficultfor血e

2、traditionalsoflwaresinSpaceStructuretohandlethefreesurface，becauseitsdefaultsurfaceisconicoid．Someof也eclassicalparametermethodsinCAGD．1ikeB6zier．B．splineandNURBS，whichcanefficientlybuildfreesurfaceshavebeensuccessfullyappliedinthefieldofindustryandmachinery,sowecanextractthe

3、irexperiencestoimprovesurface—generationfunctionofourprofessionalsoftware．Inthispaperwehavesomeelementalresearchonfreesurfacegenerationmethods．TechnologiesofCAGDareintroducedfirstlyintheirhistory,characters，especiallyintheirpossibleapplicationinspacestructureengineerings．Wea

4、lsolookbacktothehistoryofprofessionalsoftwareinspacestructureandpointouttheweaknessofdomesticCADtechnologies，comparedwiththeadvancedresearchintheworld．Inallthemethods，weputemphasisonB6zier,B—splineandNURBS，explainingtheiralgorithm，discussingtheirobverseandreverseprocesswithc

5、ontrolordatapoints，andgivingexamplesofdifferenttypeofsurfacesbuiltbythesemethods．BicubicB—splinesurfaceinterpolationisafrequentlyusedalgorithmforfleesurfacedesigninindustryfield．AnalgorithmbasedoilbicubicB·splinesurfaceinterpolationispresentedinChapter3，examplesappendedtotes

6、tifyitsfeasibilityandefficiency．Furthermore，NURBSisanadvancedmethodofB-spline，whichcarlbuildanddescribebothfreesurfacesandconicoi如，andespecially出eifcompoundsurfaces．ObviouslyNURBShasgreatpotentialinfutureapplicationinspacestructure．Atlastameshmodelingideaisraisedinconsiderat

7、ionofmeshsize．whichmaybehelpfulintheprocessofintroducingCAGDmethodstospacestructure．Keywords：Spacestructure，fleesurface，modeling，parametricsurface，CAD，CAGD，B-spline,NURBS，interpolationsurface，mesh第一章绪论2004年浙江入学硕：1：!学何论文第一章绪论1．1引言空间网格结构是由大量杆件和节点按一定规律组成的一种复杂的高次超静定结构，具有空阳J受力、重量

8、轻、材料省、产品工厂化、施工质量高、工期短等优点，并以其建筑造型丰富这一特点备受建筑师的青睐，广泛用于各种跨度的体育建筑、大型工业厂房、煤棚、展览会馆