Reference-based Virtual Metrology method with uncertainty evaluation for Material Removal Rate prediction based on Gaussian Process Regression

Author(s):  
Haoshu Cai ◽  
Jianshe Feng ◽  
Qibo Yang ◽  
Fei Li ◽  
Xiang Li ◽  
...  
2018 ◽  
Vol 10 (9) ◽  
pp. 168781401878740 ◽  
Author(s):  
Jun Ma ◽  
Wuyi Ming ◽  
Jinguang Du ◽  
Hao Huang ◽  
Wenbin He ◽  
...  

To further improve prediction accuracy and optimization quality of wire electrical discharge machining of SiCp/Al composite, trim cuts were performed using Taguchi experiment method to investigate the influence of cutting parameters, such as pulse duration ( Ton), pulse interval ( Toff), water pressure ( Wp), and wire tension ( Wt)), on material removal rate and three-dimensional surface characteristics ( Sq and Sa). An optimization model to predict material removal rate and surface quality was developed using a novel hybrid Gaussian process regression and wolf pack algorithm approach based on experiment results. Compared with linear regression model and back propagation neural network, the availability of Gaussian process regression is confirmed by experimental data. Results show that the worst average predictive error of five independent tests for material removal rate, Sq, and Sa are not more than 10.66%, 19.85%, and 22.4%, respectively. The proposed method in this article is an effective method to optimize the process parameters for guiding the actual wire electrical discharge machining process.


Author(s):  
Hongxu Zhao ◽  
Ran Jin ◽  
Su Wu ◽  
Jianjun Shi

Thickness uniformity of wafers is a critical quality measure in a wire saw slicing process. Nonuniformity occurs when the material removal rate (MRR) changes over time during a slicing process, and it poses a significant problem for the downstream processes such as lapping and polishing. Therefore, the MRR should be modeled and controlled to maintain the thickness uniformity. In this paper, a PDE-constrained Gaussian process model is developed based on the global Galerkin discretization of the governing partial differential equations (PDEs). Three features are incorporated into the statistical model: (1) the PDEs governing the wire saw slicing process, which are obtained from engineering knowledge, (2) the systematic errors of the manufacturing process, and (3) the random errors, including both random manufacturing errors and measurement noises. Real experiments are conducted to provide data for the validation of the PDE-constrained Gaussian process model by estimating the model coefficients and further using the model to predict the overall MRR profile. The results of cross-validation indicate that the prediction performance of the PDE-constrained Gaussian process model is better than the widely used universal Kriging model with a mean of second order polynomial functions.


CIRP Annals ◽  
2017 ◽  
Vol 66 (1) ◽  
pp. 429-432 ◽  
Author(s):  
Peng Wang ◽  
Robert X. Gao ◽  
Ruqiang Yan

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