|
|
论文:2023,Vol:41,Issue(4):661-669 |
|
|
引用本文： |
|
|
胡文龙, 罗喜东, 杨语, 骆彬, 程晖. 基于分形插值的复合材料孔壁微观表面重构方法[J]. 西北工业大学学报 |
|
|
HU Wenlong, LUO Xidong, YANG Yu, LUO Bin, CHENG Hui. Fractal interpolation-based micro-surface reconstruction method for composite pore walls[J]. Journal of Northwestern Polytechnical University |
|
|
|
|
|
|
|
| 基于分形插值的复合材料孔壁微观表面重构方法 |
|
| 胡文龙1, 罗喜东2, 杨语1, 骆彬1, 程晖1 |
|
1. 西北工业大学 机电学院, 陕西 西安 710072;
2. 中航工业陕西飞机工业(集团)有限公司, 陕西 汉中 723099 |
| 摘要: |
| 碳纤维增强复合材料(CFRP)层合板连接结构的孔壁形貌是决定其服役性能的关键因素之一,但受到材料纤维方向角的作用,其孔壁的原始微观表面形貌复杂且难以表征。提出了一种利用分形插值进行孔壁微观表面重构的方法,利用提取的少量数据点,分形插值重构出高精度的等效微观表面,从而有效表征复合材料连接表面。利用实验测量的方法,进行微观表面几何特征提取;基于分形插值数学模型,运用改进的自仿射分形插值算法,对原始实测表面进行分形插值重构;结合几何模型和有限元模型,验证了分形插值重构表面的几何与力学有效性。结果表明:当采样间隔选取3~5时,分形插值方法的几何误差与力学性能误差均小于10%,可以有效表征原始复合材料连接表面。 |
| 关键词:
复合材料
孔壁
微观表面
自仿射
分形插值
逆向重构
|
|
| Fractal interpolation-based micro-surface reconstruction method for composite pore walls |
|
| HU Wenlong1, LUO Xidong2, YANG Yu1, LUO Bin1, CHENG Hui1 |
|
1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China;
2. AVIC Shaanxi Aircraft Industry Group Company Ltd, Hanzhong 723099, China |
| Abstract: |
| The pore wall morphology of carbon fiber reinforced composite (CFRP) laminates is one of the key factors to determine their service performance. However, due to the direction angle of the material fibers, the original micro surface morphology of the pore wall is complex and difficult to characterize. In this paper, a method to reconstruct the micro surface of the hole wall by fractal interpolation is proposed. By using a small number of data points extracted, the high-precision equivalent micro surface by fractal interpolation can be reconstructed, which can effectively characterize the composite joint surface. Firstly, the geometric features of micro surface are extracted by using the experimental measurement. Then, based on the model for fractal interpolation, an improved self affine fractal interpolation algorithm is used to reconstruct the original measured surface. Finally, the geometric and mechanical validity of fractal interpolation surface reconstruction is verified by combining geometric model and finite element model. The results show that when the sampling interval is 3~5, the geometric error and mechanical property error of the fractal interpolation method are below 10%, which can effectively characterize the original composite joint surface. |
| Key words:
composite
hole wall
microscopic surface
self affine
fractal interpolation
reverse reconstruction
|
|
| 收稿日期: 2022-09-27
修回日期:
|
| DOI: 10.1051/jnwpu/20234140661 |
| 基金项目: 国家自然科学基金(52035011,51975472)资助 |
| 通讯作者: 程晖(1984—),西北工业大学教授,主要从事飞机装配变形、CFRP结构装配损伤机理及工艺优化方法研究。e-mail:chenghui@nwpu.edu.cn
Email：chenghui@nwpu.edu.cn |
| 作者简介: 胡文龙(1999—),西北工业大学博士研究生,主要从事复合材料多尺度力学计算研究。
|
|
| 相关功能 |
|
|
|
|
| 作者相关文章 |
|
| 胡文龙 在本刊中的所有文章 |
| 罗喜东 在本刊中的所有文章 |
| 杨语 在本刊中的所有文章 |
| 骆彬 在本刊中的所有文章 |
| 程晖 在本刊中的所有文章 |
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] CHAE H G, KUMAR S. Making strong fibers[J]. Science, 2008, 319(5865): 908-909
[2] YANG Yu, CHENG Hui, DU Kunpeng, et al. Microscale damage modeling of bolt-hole contact interface during the bolt installation process of composite structure[J]. Composite Structures, 2022, 291:115561
[3] ATRE A, JOHNSON W S. Analysis of the effects of interference and sealant on riveted lap joints[J]. Journal of Aircraft, 2007, 44(2): 353-364
[4] YANG Yu, ZHENG Wei, LIANG Biao, et al. Topography characteristics and formation mechanism of the bolt-hole contact interface during the bolt installation of interference-fit composite structure[J]. Thin-Walled Structures, 2022, 179:109642
[5] 王鹏程. 基于分形理论的结合面接触特性分析[D]. 昆明: 昆明理工大学, 2015 WANG Pengcheng. Analysis of contact characteristics of interface based on fractal theory[D]. Kunming: Kunming University of Technology, 2015 (in Chinese)
[6] HOU Guoyi, QIU Jingpeng, ZHANG Kaifu, et al. Comparative tool wear and hole quality investigation in drilling of aero-space grade T800 CFRP using different external cooling lubricants[J]. International Journal of Advanced Manufacturing Technology, 2020, 106(3/4): 937-951
[7] RAMIREZ C, POULACHON G, ROSSI F, et al. Tool wear monitoring and hole surface quality during CFRP drilling[J]. Procedia CIRP, 2014, 13: 163-168
[8] LI Zhe, XIANG Huiyu, LI Zhiqiang, et al. The research of reverse engineering based on geomagic studio[J]. Applied Mechanics and Materials, 2013, 365/366: 133-136
[9] WANG Lei, LIU Haitao, ZHANG Jun, et al. Analysis and modeling for flexible joint interfaces under micro and macro scale[J]. Precision Engineering, 2013, 37(4): 817-824
[10] ZHOU Yuqing. Reverse modeling of auto part reconstruction based on CATIA[J]. Applied Mechanics and Materials, 2012, 159: 253-256
[11] YANG Yu, CHENG Hui., LIANG Biao, et al. Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled composite hole wall[J]. Frontiers of Mechanical Engineering, 2021, 16(4): 840-854
[12] YUAN Weike, LONG Jianmin, DING Yue, et al. Statistical contact model of rough surfaces: the role of surface tension[J]. International Journal of Solids and Structures, 2018, 138: 217-223
[13] BEHESHTI A, KHONSARI M M. Asperity micro-contact models as applied to the deformation of rough line contact[J]. Tribology International, 2012, 52: 61-74
[14] YANG Fu, ZHENG Zeyu, XIAO Rui, et al. Comparison of two fractal interpolation methods[J]. Physica A-Statistical Mechanics and Its Applications, 2017, 469: 563-571
[15] 翟晓雅, 陈发来. 分形模型的3D打印路径规划[J]. 计算机辅助设计与图形学学报, 2018, 30(6): 1123-1135 ZHAI Xiaoya, CHEN Falai. 3D printing path planning based on fractal model[J]. Journal of Computer-Aided Design & Computer Graphics, 2018, 30(6): 1123-1135 (in Chinese)
[16] 赵林, 耿雷, 齐立涛. 激光切割表面形貌的分形插值模拟分析[J]. 机械设计与制造, 2014, 7(7): 123-126 ZHAO Lin, GENG Lei, QI Litao. Fractal interpolation simulation of laser cutting surface topography[J]. Mechanical Design and Manufacturing, 2014, 7(7): 123-126 (in Chinese)
[17] LYU Chongyang, YU Fei. The application of a complex composite fractal interpolation algorithm in the seabed terrain simulation[J]. Mathematical Problems in Engineering, 2018, 2018: 1-6
[18] ZHAI Mingyue, KUZMA H, Rector J W. A new fractal-interpolation algorithm for seismic data based on iterated function systems[J]. Europhysics letters, 2010, 92(4): 49001
[19] XIU Chunbo, WANG Tiantian, TIAN Meng, et al. Short-term prediction method of wind speed series based on fractal interpolation[J]. Chaos Solitons & Fractals, 2014, 68: 89-97
[20] 孙洪泉. 分形几何与分形插值[M]. 北京: 科学出版社, 2011, 162-168 SUN Hongquan. Fractal geometry and fractal interpolation[M]. Beijing: Science Press, 2011, 162-168 (in Chinese)
[21] 栗兴琴. 几类分形曲面的构造及其性质[J]. 泰山学院学报, 2017, 38(6): 52-57 LI Xingqin. Constructions and properties of several kinds of fractal surfaces[J]. Journal of Taishan University, 2017, 38(6): 52-57 (in Chinese)
[22] 齐兴华. 三维表面粗糙度测量与评定[D]. 哈尔滨: 哈尔滨理工大学, 2017 QI Xinghua. Measurement and evaluation of 3D surface roughness[J]. Harbin: Harbin University of Technology, 2017 (in Chinese) |
|
|
|
|
|
|
|
