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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2024, Vol. 19 Issue (4) : 27    https://doi.org/10.1007/s11465-024-0799-x
Simulation model optimization for bonnet polishing considering consistent contact area response
Yanjun HAN1(), Haiyang ZHANG1, Menghuan YU1, Jinzhou YANG2(), Linmao QIAN1
1. School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China
2. Institute of Data Science, Maastricht University, Maastricht 6229EN, the Netherlands
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Abstract

Simulation model optimization plays a crucial role in the accurate prediction of material removal function in bonnet polishing processes, but model complexity often poses challenges to the practical implementation and efficiency of these processes. This paper presents an innovative method for optimizing simulation model parameters, focusing on achieving consistent contact area and the accurate prediction of the material removal function while preventing increase in model complexity. First, controllable and uncontrollable factors in bonnet simulations are analyzed, and then a simplified contact model is developed and applied under constant force conditions. To characterize the bonnet’s contact performance, a contact area response curve is introduced, which can be obtained through a series of single spot contact experiments. Furthermore, a rubber hyperelastic parameter optimization model based on a neural network is proposed to achieve optimal matching of the contact area between simulation and experiment. The average deviation of the contact area under different conditions was reduced from 22.78% before optimization to 3.43% after optimization, preliminarily proving the effectiveness of the proposed simulation optimization model. Additionally, orthogonal experiments are further conducted to validate the proposed approach. The comparison between the experimental and predicted material removal functions reveals a high consistency, validating the accuracy and effectiveness of the proposed optimization method based on consistent contact response. This research provides valuable insights into enhancing the reliability and effectiveness of bonnet polishing simulations with a simple and practical approach while mitigating the complexity of the model.

Keywords bonnet polishing      simulation      contact area      tool influence function      optimization     
Corresponding Author(s): Yanjun HAN,Jinzhou YANG   
About author:

#These authors contributed equally to this work.

Issue Date: 13 August 2024
 Cite this article:   
Yanjun HAN,Haiyang ZHANG,Menghuan YU, et al. Simulation model optimization for bonnet polishing considering consistent contact area response[J]. Front. Mech. Eng., 2024, 19(4): 27.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-024-0799-x
https://academic.hep.com.cn/fme/EN/Y2024/V19/I4/27
Fig.1  Controllable and uncontrollable factors in the modeling of bonnet polishing.
Fig.2  Robotic bonnet polishing platform. (a) Robotic polishing system, (b) pad dressing system, (c) bonnet profile measurement system, and (d) pad profile comparison before and after dressing.
Fig.3  Schematic of the bonnet tool feed motion along the (a) tool axis direction and (b) workpiece normal direction.
Material Characteristic Value
Rubber C10/MPa 0.58692
C01/MPa 0.36026
Density/(g?cm−3) 1.15670
Polyurethane Young’s modulus/MPa 31
Poisson’s ratio 0.460
Density/(g?cm−3) 0.416
TC4 titanium alloy Young’s modulus/MPa 1.048 × 105
Poisson’s ratio 0.34
Density/(g?cm−3) 4.51
Tab.1  Key material property parameters for bonnet polishing
Fig.4  Determination of rubber hyperelastic parameters. (a) Electronic universal material testing machine, (b) uniaxial tension specimen dimensions, (c) uniaxial tension testing, and (d) uniaxial compression testing.
Fig.5  Uniaxial tension and compression stress–strain diagram.
Fig.6  Characterization method of the contact area between the bonnet tool and workpiece in the (a) experiments and (b) simulations.
Fig.7  Bonnet contact modeling: (a) physical structure of bonnet tool and (b) corresponding finite element model.
Component Element type Element number Element aspect ratio Quad-face corner angle/(° )
Bonnet C3D8RH 230802 Average: 1.80; worst: 4.13 Average: 84.59?95.72; worst: 53.29?133.11
Pad C3D8R 172360 Average: 2.18; worst: 4.93 Average: 87.19?93.08; worst: 53.40?138.32
Workpiece C3D8R 99302 Average: 1.61; worst: 4.29 Average: 87.08?93.23; worst: 54.54?136.40
Tab.2  Mesh parameters for each component in the simulation model
Fig.8  Influence of mesh size on simulation results. (a) Pressure distribution and (b) contact area variation for a 5 N contact force and the total calculation time for four operating conditions (continuous loading at 5, 10, 15, and 20 N) under different mesh sizes.
Fig.9  Displacement curve of the lowest point on the bonnet as the load is applied.
Fig.10  Experimental and simulation results before optimization under different contact forces. (a) Comparison of contact area; (b) contact area deviation.
Fig.11  Calculation of the linear velocity of each point in the contact area. (a) Schematic diagram of geometric solution; (b) distribution of linear velocity in the contact area.
Fig.12  Flowchart of proposed simulation optimization model.
Fig.13  Deviation between the predicted results of forward data set and the simulation results.
Fig.14  Simulation optimization model parameter analysis results. (a) Fitting results of different curve fitting equations and (b) root mean square error (RMSE) corresponding to different curve fitting equations and initial data set sizes.
Fig.15  Experimental and simulation results after optimization under different contact forces. (a) Comparison of contact area; (b) contact area deviation.
Fig.16  Comparison of simulated pressure distribution before and after model optimization. (a) 3D pressure distribution; (b) pressure curve along x-axis cross-section.
Level Air pressure/MPa Precession angle/(° ) Contact force/N Spindle speed/(r?min−1)
1 0.10 16 6 500
2 0.15 19 9 1000
3 0.20 22 12 1500
4 0.25 25 15 2000
Tab.3  Control factors and levels in orthogonal experiments
Experiment Air pressure/MPa Precession angle/(° ) Contact force/N Spindle speed/(r?min−1)
No. 1 0.10 16 6 500
No. 2 0.10 19 9 1000
No. 3 0.10 22 12 1500
No. 4 0.10 25 15 2000
No. 5 0.15 16 9 1500
No. 6 0.15 19 6 2000
No. 7 0.15 22 15 500
No. 8 0.15 25 12 1000
No. 9 0.20 16 12 2000
No. 10 0.20 19 15 1500
No. 11 0.20 22 6 1000
No. 12 0.20 25 9 500
No. 13 0.25 16 15 1000
No. 14 0.25 19 12 500
No. 15 0.25 22 9 2000
No. 16 0.25 25 6 1500
Tab.4  L16(45) orthogonal table
Fig.17  Comparison of material removal functions between experiment and simulation data in the presence of orthogonal parameters. (a) 3D morphology, (b) x-axis section, (c) y-axis section, and (d) material removal rate (MRR).
Fig.18  Contribution percentages of each factor by analysis of variance approach.
Abbreviations
ANOVA Analysis of variance
FE Finite element
MRR Material removal rate
MSE Mean squared error
RMSE Root mean square error
TIF Tool influence function
  
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