|
|
论文:2017,Vol:35,Issue(5):850-856 |
|
|
引用本文： |
|
|
王增强, 刘钟, 蒋睿嵩, 赵德中, 邵明伟. 基于仿射变换的压气机树脂叶片模腔优化方法[J]. 西北工业大学学报 |
|
|
Wang Zengqiang, Liu Zhong, Jiang Ruisong, Zhao Dezhong, Shao Mingwei. An Optimization Method of Mold Cavity for Compressor Resin Blade Based on Affine Transformation[J]. Northwestern polytechnical university |
|
|
|
|
|
|
|
| 基于仿射变换的压气机树脂叶片模腔优化方法 |
|
| 王增强, 刘钟, 蒋睿嵩, 赵德中, 邵明伟 |
|
| 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 |
| 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%。 |
| 关键词:
树脂叶片
反变形
仿射变换
模腔优化
|
|
| An Optimization Method of Mold Cavity for Compressor Resin Blade Based on Affine Transformation |
|
| Wang Zengqiang, Liu Zhong, Jiang Ruisong, Zhao Dezhong, Shao Mingwei |
|
| The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Ministry of Education, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| A resin blade trends to have a torsion and bending deformation accompanying with the release of its internal 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, involves 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 deformation 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 deformation method based on affine transformation is presented to optimize the mold cavity, and the corresponding deformation 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. |
| Key words:
resin blade
reverse deformation
affine transformation
cavity optimization
|
|
| 收稿日期: 2017-03-15
修回日期:
|
| DOI: |
| 基金项目: 国家自然科学基金（51475374）资助 |
| 通讯作者:
Email： |
| 作者简介: 王增强(1961-),西北工业大学研究员,主要从事计算机辅助技术、现代设计与集成制造研究。
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] 陈懋章. 中国航空发动机高压压气机发展的几个问题[J]. 航空发机, 2006, 32(2):5-11 Chen Maozhang. Some Issues in the Research and Development of Aeroengine HP Compressor in China[J]. Aeroengine, 2006, 32(2):5-11(in Chinese)
[2] 陈光. GE公司的低转速研究用压气机与涡轮试验器[J]. 燃气涡轮试验与研究, 1995(4):1-3 Chen Guang. GE Company's Low Speed Research Compressor and Low Speed Research Turbine[J]. Gas Turbine Experiment and Research, 1995(4):1-3(in Chinese)
[3] Wisler D C, Halstead D E, Beacher B F. Improving Compressor and Turbine Performance through Cost Effective Low-Speed Testing[C]//International Symposium on Air Breacting Engines 14th, Florence, Italy, 1999
[4] Kc B, Faruk O, Agnelli J A M, et al. Sisal-Glass Fiber Hybrid Biocomposite:Optimization of Injection Molding Parameters Using Taguchi Method for Reducing Shrinkage[J]. Composites Part A:Applied Science and Manufacturing, 2016, 83:152-159
[5] Erean O, Behzad S H, Seyed M D, et al. Warpage and Shrinkage Optimization of Injection-Molded Plastic Spoon Parts for Biodegradable Polymers Using Taguchi, ANOVA and Artificial Neural Network Methods[J]. Journal of Materials Science & Technology, 2016, 32(8):710-720
[6] Wang L, Yang Y, Wang B, et al. Investigation of the Influence of Processing Parameter on Volumetric Shrinkage Variation of Plastic Injection Molded Parts and Process Optimization[J]. Polymer Materials Science & Engineering, 2004, 20(2):173-176
[7] Panchal R R, Kazmer D O. In-Situ Shrinkage Sensor for Injection Molding[J]. Journal of Manufacturing Science and Engineering, 2010, 132(6):064503
[8] 袁甘林, 辛勇. 基于迭代反变形法的精密塑件注塑成型尺寸精度控制[J]. 中国塑料, 2014, 28(10):94-99 Yuan Ganlin, Xin Yong. Dimensional Accuracy Control of the Precise Injection Molded Plastic Parts Based on Iteration Reverse Deformation Method[J]. China Plastic, 2014,28(10):94-99(in Chinese)
[9] 王孝忠, 汪文虎, 冯炜,等. 基于权值的压气机树脂叶片模具型腔反变形优化[J]. 特种铸造及有色合金, 2012, 32(8):34-37 Wang Xiaozhong, Wang Wenhu, Feng Wei, et al. Anti-Deformation Optimization Method of Mould Cavity for Compressor Resin Blade Based on the Weight[J]. Special Casting & Nonferrous Alloys, 2012, 32(8):34-37(in Chinese)
[10] 赵德中,汪文虎,崔康,等. 压气机树脂叶片注塑模具型腔反变形优化技术[J]. 航空制造技术, 2012, 19:92-95 Zhao Dezhong, Wang Wenhu, Cui Kai, et al. Reverse Deformation Methodology for Resin Blade Injection Mold Cavity for Compressor[J]. Aeronautical Manufacturing Technology, 2012, 19:92-95(in Chinese)
[11] Dong Y W, Bu Kun, Dou Y Q, et al. Determination of Wax Pattern Die Profile for Investment Casting of Turbine Blades[J]. Transactions of Nonferrous Metals Society of China, 2011, 21(2):378-387
[12] 解晓娜,汪文虎,张艳,等. 基于检测结果的涡轮叶片精铸型腔反变形优化设计[J]. 航空动力学报, 2015, 30(1):129-135 Xie Xiaona, Wang Wenhu, Zhang Yan, et al. Optimization Design of Reverse Deformation Based on Measuring Results for Investment Cavity of Turbine Blade[J]. Journal of Aerospace Engine, 2015, 30(1):129-135(in Chinese)
[13] Zhang D H, Jiang R S, Li J L, et al. Cavity Optimization for Investment Casting Die of Turbine Blade Based on Reverse Engineering[J]. The International Journal of Advanced Manufacturing Technology, 2010, 48(9):839-846
[14] Besl P J, Mckey N D. A Method of Registration of 3D-Shapes[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 1992, 14(2):239-255
[15] 章权斌, 罗斌, 韦穗, 等. 基于仿射变换模型的图象特征点集配准方法研究[J]. 中国图象图形学报, 2003, 10:20-24 Zhang Quanbin, Luo Bin, Wei Sui, et al. Registration for Feature Point Sets Based on Affine Transformation[J]. Journal of Image and Graphics, 2003, 10:20-24(in Chinese) |
|
|
|
|
|
|
|
