基于CAD的半解析参数化几何建模方法

CAD-based Semi-analytical Parametric Geometry Modeling Method

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 muhidisciplinary 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-ana- lytical 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.