Abstract

With surface roughness restricted by grinding parameters, the characterization of roughness parameters and the inversion of grinding parameters are of great significance for improving surface performance and realizing active surface machining. This research proposes a combination of statistical theory and data-driven analysis to solve the above problems. Pearson correlation analysis and multivariate variance analysis indicate the correlation characterization parameter set (CPS) consists of Sa, Vmp, Vvv, and Sz and that there are differences in the influence of grinding parameters on the parameters in CPS. Adjustment of support vector machine (SVM) core parameters makes it possible to construct expansion parameter set (EPS) optimal inversion models. By designing pseudo-surface random roughness parameters and grinding experiments, the reliability of inversion models is verified. The results show: (1) The better generalization of inversion model indicates skewness Ssk and kurtosis Sku in EPS have important implications for the optimal inversion model and surface characterization and (2) The data-driven model based on support vector machine provides machining guidance for obtaining the expected ultrasonic grinding surface.

References

1.
Pena-Paras
,
L.
,
Maldonado-Cortes
,
D.
,
Martinez
,
C.
,
Arias
,
M.
,
Ontiveros
,
A.
,
Castanos
,
B.
, and
Morales-Martinez
,
M.
,
2019
, “
Study of the Influence of Surface Roughness Parameters on the Frictional Characteristics of Materials
,”
IOP Conference Series: Materials Science and Engineering
,
Iasi, Romania
,
June 19–22
, pp.
1
6
.
2.
Draganovská
,
D.
,
Ižaríková
,
G.
,
Brezinová
,
J.
, and
Guzanová
,
A.
,
2015
, “
The Study of Parameters of Surface Roughness by the Correlation Analysis
,”
Mater. Sci. Forum
,
818
(
5
), pp.
15
18
.
3.
Sedlaček
,
M.
,
Podgornik
,
B.
, and
Vižintin
,
J.
,
2009
, “
Influence of Surface Preparation on Roughness Parameters, Friction and Wear
,”
Wear
,
266
(
3–4
), pp.
482
487
.
4.
Kumar
,
R.
,
Seetharamu
,
S.
, and
Kamaraj
,
M.
,
2014
, “
Quantitative Evaluation of 3D Surface Roughness Parameters During Cavitation Exposure of 16Cr–5Ni Hydro Turbine Steel
,”
Wear
,
320
, pp.
16
24
.
5.
Duo
,
Y.
,
Jinyuan
,
T.
,
Wei
,
Z.
, and
Yuqin
,
W.
,
2021
, “
Study on Roughness Parameters Screening and Characterizing Surface Contact Performance Based on Sensitivity Analysis
,”
ASME J. Tribol.
,
144
(
4
), p.
041502
.
6.
Dong
,
W. P.
,
Sullivan
,
P. J.
, and
Stout
,
K. J.
,
1994
, “
Comprehensive Study of Parameters for Characterising Three-Dimensional Surface Topography: III: Parameters for Characterising Amplitude and Some Functional Properties
,”
Wear
,
178
(
1–2
), pp.
29
43
.
7.
Zhou
,
W.
,
Tang
,
J.
, and
Shao
,
W.
,
2020
, “
Modelling of Surface Texture and Parameters Matching Considering the Interaction of Multiple Rotation Cycles in Ultrasonic Assisted Grinding
,”
Int. J. Mech. Sci.
,
166
, pp.
1
16
.
8.
Zhou
,
W.
,
Tang
,
J.
,
Chen
,
H.
,
Shao
,
W.
, and
Zhao
,
B.
,
2019
, “
Modeling of Tooth Surface Topography in Continuous Generating Grinding Based on Measured Topography of Grinding Worm
,”
Mech. Mach. Theory
,
131
, pp.
189
203
.
9.
Fu
,
Y.
,
Zhao
,
X.
,
Wei
,
J.
,
Chen
,
P.
, and
Li
,
J.
,
2020
, “
Influence of Cutting Parameters on Surface Roughness of Turned 20CrMnTi and Optimization
,”
Mach. Tool Hydraul.
,
48
(
22
), pp.
50
53
.
10.
Sukumar
,
M.
,
Ramaiah
,
P. V.
, and
Nagarjuna
,
A.
,
2014
, “
Optimization and Prediction of Parameters in Face Milling of Al-6061 Using Taguchi and ANN Approach
,”
Procedia Eng.
,
97
, pp.
365
371
.
11.
Zhao
,
B.
,
Zhang
,
S.
, and
Li
,
J.
,
2018
, “
Optimization of Grinding Parameters Based on Parts’ Friction Properties
,”
J. Zhejiang Univ. Eng. Sci.
,
52
(
1
), pp.
16
23
.
12.
Cortes
,
C.
, and
Vapnik
,
V.
,
1995
, “
Support-Vector Networks
,”
Mach. Learn.
,
20
(
3
), pp.
273
297
.
13.
Huang
,
H.
,
Wang
,
Y.
, and
Zong
,
H.
,
2021
, “
Support Vector Machine Classification Over Encrypted Data
,”
Appl. Intell.
, Published online, pp.
1
11
.
14.
Qi
,
Q.
,
Li
,
T.
,
Scott P
,
J.
, and
Jiang
,
X.
,
2015
, “
A Correlational Study of Areal Surface Texture Parameters on Some Typical Machined Surfaces
,”
Procedia CIRP
,
27
, pp.
149
154
.
15.
You
,
S.
,
Tang
,
J.
, and
Wen
,
Y.
,
2022
, “
Three-Dimensional Elastoplastic Contact Analysis of Rough Surface Considering a Micro-Scale Effect
,”
ASME J. Tribol.
,
144
(
1
), p.
011503
.
16.
Wen
,
Y.
,
Tang
,
J.
,
Zhou
,
W.
, and
Li
,
L.
,
2020
, “
A Reconstruction and Contact Analysis Method of Three-Dimensional Rough Surface Based on Ellipsoidal Asperity
,”
ASME J. Tribol.
,
142
(
4
), p.
041502
.
17.
Breslow
,
N.
,
McNeney
,
B.
, and
Wellner
,
J. A.
,
2003
, “
Large Sample Theory for Semiparametric Regression Models With Two-Phase, Outcome Dependent Sampling
,”
Ann. Stat.
,
31
(
4
), pp.
1110
1139
.
18.
He
,
B.
,
Wei
,
C.
,
Liu
,
B.
,
Ding
,
S.
,
Shi
,
Z.
, and
Wei
,
C. E.
,
2018
, “
Three-Dimensional Surface Roughness Characterization and Application
,”
Opt. Precis. Eng.
,
26
(
8
), pp.
1994
2011
.
19.
Sedgwick
,
P.
,
2012
, “
Pearson’s Correlation Coefficient
,”
Br. Med. J.
,
345
(
7
), p.
e4483
.
20.
Guo
,
B.
, and
Zhao
,
Q.
,
2017
, “
Ultrasonic Vibration Assisted Grinding of Hard and Brittle Linear Micro-Structured Surfaces
,”
Precis. Eng.
,
48
(
2017
), pp.
98
106
.
21.
Khodaii
,
J.
,
Barazandeh
,
F.
,
Rezaei
,
M.
,
Adibi
,
H.
, and
Sarhan
,
A. A.
,
2019
, “
Influence of Grinding Parameters on Phase Transformation, Surface Roughness, and Grinding Cost of Bioceramic Partially Stabilized Zirconia (PSZ) Using Diamond Grinding Wheel
,”
Int. J. Adv. Manuf. Technol.
,
105
(
11
), pp.
4715
4729
.
22.
Zhong
,
P. S.
,
Li
,
J.
, and
Kokoszka
,
P.
,
2021
, “
Multivariate Analysis of Variance and Change Points Estimation for High-Dimensional Longitudinal Data
,”
Scand. J. Stat.
,
48
(
2
), pp.
375
405
.
23.
Carmeli
,
C.
,
De Vito
,
E.
, and
Toigo
,
A.
,
2006
, “
Vector Valued Reproducing Kernel Hilbert Spaces of Integrable Functions and Mercer Theorem
,”
Anal. Appl.
,
4
(
4
), pp.
377
408
.
24.
Liao
,
D.
,
Shao
,
W.
,
Tang
,
J.
,
Li
,
J.
, and
Tao
,
X.
,
2018
, “
Numerical Generation of Grinding Wheel Surfaces Based on Time Series Method
,”
Int. J. Adv. Manuf. Technol.
,
94
(
1
), pp.
561
569
.
25.
Tang
,
J.
,
Liao
,
D.
, and
Zhou
,
W.
,
2014
, “
Numerical and Experimental Analysis of Rough Surface Based on NCGM
,”
Chin. Mech. Eng.
,
25
(
14
), pp.
1878
1882
.
26.
Liao
,
D.
,
Shao
,
W.
,
Tang
,
J.
, and
Li
,
J.
,
2018
, “
An Improved Rough Surface Modeling Method Based on Linear Transformation Technique
,”
Tribol. Int.
,
119
, pp.
786
794
.
27.
Li
,
L.
,
Tang
,
J.
,
Ding
,
H.
,
Liao
,
D.
, and
Lei
,
D.
,
2021
, “
On the Linear Transform Technique for Generating Rough Surfaces
,”
Tribol. Int.
,
163
, pp.
1
13
.
28.
Bahbou
,
M. F.
,
Nylén
,
P.
, and
Wigren
,
J.
,
2004
, “
Effect of Grit Blasting and Spraying Angle on the Adhesion Strength of a Plasma-Sprayed Coating
,”
J. Therm. Spray Technol.
,
13
(
4
), pp.
508
514
.
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