基于仿射变换的压气机树脂叶片模腔优化方法  

An Optimization Method of Mold Cavity for Compressor Resin Blade Based on Affine Transformation

作　　者：王增强[1] 刘钟 蒋睿嵩[1] 赵德中[1] 邵明伟 

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

出　　处：《西北工业大学学报》2017年第5期850-856,共7页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(51475374)资助

摘　　要：树脂叶片出模后由于内应力的释放易导致其出现弯扭变形,为此在模具设计过程中必须对叶片变形进行补偿。点到点的变形补偿方式广泛应用于模具型腔优化设计流程,涉及2个主要问题:对应点的搜索及变形的表征。常用的基于迭代最近点(ICP)算法的对应点搜索方法无法处理较大变形或者是非刚体的情况;同时,基于离散矢量的变形表征方式容易出现局部重构变形。针对上述两问题,论文提出并研究了一种基于仿射配准的模具型腔反变形优化方法,并建立了与之对应的变形补偿模型。通过仿射变换消除非刚体的影响,同时将变形量表征为光滑的空间变换矩阵,实现了变形的精确补偿。仿真实验结果表明文中方法可以有效减小树脂叶片的弯扭变形,其中叶片最大变形量已由优化前的2.336 0 mm降低至0.168 9 mm;二维偏差平均值已由0.496 2 mm降低至0.056 8 mm,减小了88.6%。A resin blade trends to have a torsion and bending deformation accompanying with the release of its in- ternal stress after being demoulded. Thus, it is in great need to compensate for its deformation during the mold design. The point-to-point deformation compensation method, which is widely used in mold cavity optimization, in- volves two main problems： searching the corresponding points and characterizing the deformation. The corresponding point search method based on the iteration closest point （ICP） algorithm is not applicable if the de- formation is large or the model is a non-rigid body; In addition, the local reconstruction deformation often occurs when characterizing the deformation by discrete vectors. To solve these two aforementioned problems, a reverse de- formation method based on affine transformation is presented to optimize the mold cavity, and the corresponding de- formation compensation model is established. The effect of non-rigid body is eliminated by affine transformation, and the deformation is expressed as a smooth spatial transformation matrix which realizes a precise compensation for deformation. The simulation results show that the maximum deviation of the optimized blade decreases from 2. 3360mm to 0.1668mm and the two-dimensional standard deviation decreases from 0.4962mm to 0.0568mm, which confirms that the method can decrease the deformation of resin blade effectively.

关 键 词：树脂叶片 反变形 仿射变换 模腔优化 

分 类 号：V263.1[航空宇航科学与技术—航空宇航制造工程]