基于CAD的半解析参数化几何建模方法
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摘要
针对目前飞行器多学科设计优化(MDO)在计算机仿真应用中参数化几何建模方法在设计变量可控情况下描述能力不足、适应性差的问题,结合当前几种常见方法的建模思想,引入图形基、曲线乘法修正和加法修正的概念,提出一种适用范围更广的参数化描述方法,并将其应用到CAD几何建模中,衍生出一套基于CAD的半解析混合参数化几何建模方法,该方法结合CAD与解析方法的优势,描述能力强、实现简单。翼型和飞行器参数化建模及弹头形状优化的算例表明,基于CAD的半解析混合参数化方法能兼容传统的参数化方法,将图形基构成的设计空间与传统参数空间合并,可有效提高参数化方法的描述能力和适应能力,可用于丰富MDO几何建模的参数选择,探索新型设计。
For the current aircraft multidisciplinary design optimization( MDO) in computer simulation applications,the problem of poor description ability and adaptability with limited variables,in geometry modeling,stands out. According to the central idea of several common modeling methods,the concepts of graphic basis and curve correction are introduced,which present a greater scope to promote parametric description ability. Its application to CAD geometry modeling derives a set of CAD-based semi-analytical hybrid parametric geometric modeling method,which combines both the advantages,with a strong description ability and a simple realization. The cases of airfoil,aircraft parametric modeling and warhead shape optimization indicate that the CAD-based semi-analytical hybrid method for parameterization is compatible with the traditional method,combining the extended design space and the traditional one,which effectively improve the description ability and the adaptability of the parametric method. It has a certain significance to enrich the parameter selection and new design exploration in geometric modeling of MDO.
For the current aircraft multidisciplinary design optimization( MDO) in computer simulation applications,the problem of poor description ability and adaptability with limited variables,in geometry modeling,stands out. According to the central idea of several common modeling methods,the concepts of graphic basis and curve correction are introduced,which present a greater scope to promote parametric description ability. Its application to CAD geometry modeling derives a set of CAD-based semi-analytical hybrid parametric geometric modeling method,which combines both the advantages,with a strong description ability and a simple realization. The cases of airfoil,aircraft parametric modeling and warhead shape optimization indicate that the CAD-based semi-analytical hybrid method for parameterization is compatible with the traditional method,combining the extended design space and the traditional one,which effectively improve the description ability and the adaptability of the parametric method. It has a certain significance to enrich the parameter selection and new design exploration in geometric modeling of MDO.
引文
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[15]龚春林,谷良贤,粟华.亚轨道重复使用运载器总体多学科优化方法[J].固体火箭技术,2012,35(1):5-10,16.
[16]唐伟,江定武,桂业伟,等.旋成体导弹头部母线线型的选择问题研究[J].空气动力学学报,2010,28(2):218-221.
[17]李惠峰,肖进,林平.基于参数化外形的通用大气飞行器建模与分析[J].宇航学报,2011,32(11):2305-2311.
[2]Hicks R M,Henne P.Wing design by numerical optimization[J].Journal of Aircraft,1978,15(7):407-412.
[3]Wataru Yamazaki,Sylvain Mouton.Geometry parameterization and computational mesh deformation by physicsbased direct manipulation approaches[J].AIAA Journal,2010,48(8):1817-1832.
[4]David S Lazzara.CAD-Based Multifidelity Analysis and Multidisciplinary Optimization in Aircraft Conceptual Design[D].Massachusetts Institute of Technology,2008.
[5]Vandenbrande J H,Grandine T A,Hogan T.The search for the perfect body:Shape control for multidisciplinary design optimization[C]//The 44th AIAA Aerospace Sciences Meeting and Exhibit.2006:928-943.
[6]Michiel H Straathof,Michel J L van Tooren.Extension to the class-shape-transformation method based on B-splines[J].AIAA Journal,2011,49(4):780-790.
[7]Kulfan B M,Bussolettj J E.“Fundamental”parametric geometry representations for aircraft conponent shapes[C]//The 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference.2006:6948.
[8]Kulfan B M.A universal parametric geometry representation method-“CST”[C]//The 45th AIAA Aerospace Sciences Meeting and Exhibit.2007:62-96.
[9]关晓辉,李占科,宋笔锋.CST气动外形参数化方法研究[J].航空学报,2012,33(4):625-633.
[10]徐亚峰,刘学军,吕宏强.基于CST参数化方法的翼型快速设计[J].航空计算技术,2011,41(5):24-29,33.
[11]马晓永,范召林,吴文华,等.基于NURBS方法的机翼气动外形优化[J].航空学报,2011,32(9):1616-1621.
[12]邓金秋,冯仁忠.利于翼型优化设计的超临界翼型参数化方法[J].北京航空航天大学学报,2011,37(3):368-373.
[13]胡添元,余雄庆.基于CATIA二次开发的飞翼外形参数化建模[J].飞机设计,2007,27(6):10-13,27.
[14]冯毅,唐伟,任建勋,等.飞行器参数化几何建模方法研究[J].空气动力学学报,2012,30(4):546-550.
[15]龚春林,谷良贤,粟华.亚轨道重复使用运载器总体多学科优化方法[J].固体火箭技术,2012,35(1):5-10,16.
[16]唐伟,江定武,桂业伟,等.旋成体导弹头部母线线型的选择问题研究[J].空气动力学学报,2010,28(2):218-221.
[17]李惠峰,肖进,林平.基于参数化外形的通用大气飞行器建模与分析[J].宇航学报,2011,32(11):2305-2311.