三维组件布局建模与优化设计  

Three-dimensional Component Layout Modeling and Optimization Design

作　　者：张卫红[1] 高瑜[1] 方亮[1] 陈裕泽[2] 

机构地区：[1]西北工业大学现代设计与集成制造教育部重点实验室,陕西西安710072 [2]中国工程物理研究院总体工程研究所,四川绵阳621900

出　　处：《航空学报》2008年第6期1554-1562,共9页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(10676028);航空科学基金(2006ZA53006);陕西省科技计划项目(2006K05-G25);西安应用材料创新基金(XA-AM-200705)

摘　　要：从工程应用背景出发,在研究现有组件布局问题的基础上,将Sphere-trees概念引入三维装填布局优化设计问题。采用有限球族进行非规则任意形状三维组件外形轮廓的统一描述,而非直接采用组件的实际外形轮廓进行装填布局设计,建立了任意形状组件装填优化设计干涉检查的系统性计算方法。通过几个典型算例,验证了该方法与序列二次规划法相结合解决有限空间内组件布局优化问题的适用性。Based on engineering application requirements and the state of the art of component layout design,a new layout modeling method is proposed in this article by introducing the ＂sphere-trees＂ concept into 3D component layout design problems. This method employs the approximation concept of the finite-sphere method （FSM） rather than the real configuration of the components to provide a unified description of irregular configurations of any 3D component in the packing design. Such an approximation transforms the original problem into a basic packing problem of components with sphere shapes. This makes it possible to carry out the interference computing between components of arbitrary configurations in a systematic way. Some typical numerical examples are considered. The proposed layout modeling method is shown to be suitable when it is applied together with the sequential quadratic programming （SQP） optimization algorithm to solve the design problems under consideration.

关 键 词：优化设计 三维组件布局 有限球族近似 非规则任意形状 包络球 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]