Numerical and Experimental Analysis of Rough Surface Based on NCGM

Abstract

Abstract:

This paper used the time series model, linear transformation method and Johnson transform system to generate rough surface. In order to reduce the memory requirements and for easy convergence, the NCGM was used to solve the autocorrelation matrix. To illustrate the numerical procedure, some rough surfaces having Gaussian and nonGaussian height distribution and an exponential autocorrelation function(ACF) were generated. The results show that the method can generate the prescribed height distribution and autocorrelation function based on actual processing the surface effectively.

Key words: nonlinear conjugate gradient method(NCGM), rough surface, numerical simulation, time series

摘要：

基于时间序列模型、线性变换方法和Johnson转换系统，研究粗糙表面的重构方法。为减少数据储存空间的需求和收敛性要求，采用非线性共轭梯度法（NCGM）求解自相关矩阵，得到高斯型表面及非高斯型表面的数值模拟方法。对不同相关长度及高度分布的高斯型、非高斯型粗糙表面进行数值模拟，并与实际测量结果进行对比。结果表明，所提出的基于NCGM的粗糙表面数值模拟方法能有效地模拟满足高度分布函数与自相关函数的实际加工表面。

关键词: 非线性共轭梯度法, 粗糙表面, 数值模拟, 时间序列

CLC Number:

TG84

Tang Jinyuan, Liao Dongri, Zhou Wei. Numerical and Experimental Analysis of Rough Surface Based on NCGM[J]. China Mechanical Engineering, 2014, 25(14): 1878-1882.

唐进元, 廖东日, 周炜. 基于NCGM的粗糙表面数值模拟与实验对比[J]. 中国机械工程, 2014, 25(14): 1878-1882.

References

[1]Patir N.A Numerical Procedure for Random Generation of Rough Surfaces[J]. Wear,1978,47(2):263-277.
[2]Watson W,King T,Spedding T,et al.The Machined Surface-time Series Modelling[J].Wear,1979,57(1):195-205.
[3]Watson W,Spedding T.The Time Series Modelling of Non-Gaussian Engineering Processes[J].Wear,1982,83(2):215-231.
[4]Whitehouse D.The Generation of Two Dimensional Random Surfaces Having a Specified Function[J].CIRP Annals-Manufacturing Technology,1983,32(1):495-498.
[5]Hu Y,Tonder K.Simulation of 3-D Random Rough Surface by 2-D Digital Filter and Fourier Analysis[J].International Journal of Machine Tools and Manufacture,1992,32(1/2):83-90.
[6]Wu J J.Simulation of Non-Gaussian Surfaces with FFT[J].Tribology International,2004,37(4):339-346.
[7]Wu J J.Simulation of Rough Surfaces with FFT[J].Tribology International,2000,33(1):47-58.
[8]Manesh K,Ramamoorthy B,Singaperumal M.Numerical Generation of Anisotropic 3D Non-Gaussian Engineering Surfaces with Specified 3D Surface Roughness Parameters[J].Wear,2010,268(11/12):1371-1379.
[9]Hill I,Hill R,Holder R.Algorithm AS 99:Fitting Johnson Curves by Moments[J].Journal of the Royal Statistical Society Series C(Applied Statistics),1976,25(2):180-189.
[10]Hill I.Algorithm AS 100:Normal-Johnson and Johnson-normal Transformations[J].Journal of the Royal Statistical Society Series C(Applied Statistics),1976,25(2):190-192.
[11]Johnson N L.Systems of Frequency Curves Generated by Methods of Translation[J].Biometrika,1949,36(1/2):149-176.
[12]Stout K J,Sullivan P J,Dong W P,et al.The Development of Methods for the Characterization of Roughness on Three Dimensions:EUR,0015178 EN[P].1994-01-01.
[13]Bakolas V.Numerical Generation of Arbitrarily Oriented Non-Gaussian Three-dimensional Rough Surfaces[J]. Wear, 2003, 254(5/6):546-554.

[1]	TUN Fu-Chao, TUN Bai-Hu, ZHANG Xiu-Hua. Numerical Simulation of Heat Transfer Performance of Paraffin Thermal-Sensitive Valve  [J]. J4, 201016, 21(16): 1921-1926.
[2]	LI Yanle, PAN Zhongtao, QI Xiaoxia, CUI Weiqiang, CHEN Jian, LI Fangyi. Effect of Heat Treatment on Temperature and Stress Distribution during Laser Cladding of 316L Steels [J]. China Mechanical Engineering, 2024, 35(04): 666-677.
[3]	PENG Wenfei, ZHANG Cheng, LIN Longfei, HUANG Minghui, YU Feng. Modeling and Prediction of Central Damages in Cross Wedge Rolling Based on Continuous Damage Mechanics [J]. China Mechanical Engineering, 2024, 35(04): 711-720,751.
[4]	LI Kunhang, ZHANG Siqi, WU Wei, HU Mingzhuo, SUN Yaling, XIONG Xin, HUANG Hong. Multi-field Coupling Simulation and Analysis for Resistance Spot Welding of Three-layer Dissimilar Unequal-thickness Steels [J]. China Mechanical Engineering, 2023, 34(24): 2996-3003.
[5]	LUO Wenze, CHENG Huimei, LIU Hongyan, WANG Yifeng, YE Yanhong, DENG Dean. Numerical Simulation of Residual Stress and Welding Deformation for High Strength Steel Q960E Butt-welded Joints [J]. China Mechanical Engineering, 2023, 34(17): 2095-2105,2141.
[6]	XU Xiang, ZHANG Yilun, MEI Zheng, LI Jian, WANG Dan, MU Liansong. Numerical Simulation and Experimental Investigation of Flow Fields in Vehicle Climatic Chambers [J]. China Mechanical Engineering, 2023, 34(17): 2115-2123.
[7]	YIN Yanchao, SHI Chengjuan, ZOU Chaopu, LIU Xiaobao. Time-series Correlation Prediction of Quality in Process Production Processes Based on Deep TCN and Transfer Learning [J]. China Mechanical Engineering, 2023, 34(14): 1659-1671.
[8]	CHEN Yu, XIANG Wei, GONG Chuan. Online Diagnostic Inspection and Prediction of Product Quality in Injection Molding Intelligent Factories Based on Data Mining [J]. China Mechanical Engineering, 2023, 34(14): 1749-1755.
[9]	ZHU Yulong, ZHAO Yingsong, FANG Yang, CHEN Hongen, CHEN Zhenmao, . Rotating Eddy Current Testing for Inspection of Cracks at Hole Edge [J]. China Mechanical Engineering, 2023, 34(08): 883-891.
[10]	LI Ke, , YAN Han, GU Jiefei, , SU Lei, SU Wensheng, XUE Zhigang. Research on Multi-source Transfer Learning Bearing Fault Diagnosis Based on Shapelets Time Series [J]. China Mechanical Engineering, 2022, 33(24): 2990-2996,3006.
[11]	QIN Deng, DAI Zhiyuan, ZHOU Ning, LI Tian. Effects of Pantograph Subsidence on Its Aerodynamic and Acoustic Behaviors [J]. China Mechanical Engineering, 2022, 33(20): 2509-2519.
[12]	LI Wei, ZHENG Hao, LIU Yanmei, FAN Song. Numerical Simulation on Mounted Bolt Failures in Vehicle Subframe [J]. China Mechanical Engineering, 2022, 33(19): 2388-2393.
[13]	HU Futai, . Cracking Suppression and Lateral Bending Broadening Strategy of Fan-shaped Thin-wall Ribs during Extrusion [J]. China Mechanical Engineering, 2022, 33(14): 1734-1740.
[14]	MA Yi, CHEN Yutao, MENG Xiangkai, ZHAO Wenjing, PENG Xudong, . Transient Start-up Dynamics Model and Sealing Performance of Single Metal Seals in Cone Bits [J]. China Mechanical Engineering, 2022, 33(07): 777-785.
[15]	XU Mingsan, ZHOU Chunhui, ZHANG Zheng, ZENG Shoujin, . Temperature Distribution of Powder-gas-optical Coupling temperature field in Laser Cladding Processes [J]. China Mechanical Engineering, 2022, 33(01): 70-77.