Research on Contact Stiffness of 40Cr Steel Grinding Joint Surface

doi:10.3901/JME.260028

Abstract

Abstract: Due to its high strength and toughness, 40Cr steel has been widely applied and valued in the manufacturing of high-precision equipment. The research on the microscopic contact mechanism of the joint surface of 40Cr steel has important practical application value. The rough surface of 40Cr steel is obtained by grinding processing method. The surface topography data are collected by white light interferometer. The contour parameters of the asperity are fitted. The simulation contour of the asperity is reconstructed. The height distribution of the asperity is analyzed in combination with the Gaussian distribution function, and the normal contact stiffness model of the parabolic y=cx² columnar asperity is established. Design a normal contact stiffness experimental platform to test the normal contact stiffness value of the ground processing surface of 40Cr steel. The experimental values of normal contact stiffness obtained from the test are compared and analyzed with the simulation values of the columnar asperity model. The results showed that the two are very close, with an error of less than 10%, confirming the practicability of the new model. The superiority of this model is proved by comparing it with three typical models at different roughness scales. The normal contact stiffness model of parabolic y=cx² columnar asperity provides a new theoretical model for the prediction and simulation research of the dynamic and static characteristics of rough surface contact of 40Cr steel.

Key words: 40Cr steel, contact stiffness, simulation analysis, mechanical bonding surface

CLC Number:

TG502

BAI Yuzhu, GUO Fei, MUHAMMAD Imran, SUO Shuangfu, JIA Xiaohong. Research on Contact Stiffness of 40Cr Steel Grinding Joint Surface[J]. Journal of Mechanical Engineering, 2026, 62(1): 384-394.

References

[1] GREENWOOD J A,WILLIAMSON J.Contact of nominally flat surfaces[J].Proceedings of the Royal Society of London,1966,295(1442):300-319.
[2] CHANG W R,ETSION I,BOGY D B.An elastic-plastic model for the contact of rough surfaces[J].Journal of Tribology,1987,1(109):257-263.
[3] KOGUT L,ETSION I.Elastic-plastic contact analysis of a sphere and a rigid flat[J].Journal of Applied Mechanics,2002,69(5):657-662.
[4] KANG H,LI Z M,LIU T,et al.A novel multiscale model for contact behavior analysis of rough surfaces with the statistical approach[J].Int J Mech Sci,2021,212:106808.
[5] MAJUMDAR A,BHUSHAN B.Role of fractal geometry in roughness characterization and contact mechanics of surfaces[J].Journal of Tribology, 1990,112(2):205-216.
[6] HUANG G,LIU C,XIE W,et al.Normal contact stiffness model for fractal surfaces considering scale dependence and friction behavior[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2022,237(3):527-540.
[7] WANG H,JIA P,WANG L,et al.Modeling of the loading-unloading contact of two cylindrical rough surfaces with friction[J].Applied Sciences,2020,10(3):742-761.
[8] CHEN J,DI L,WANG C,et al.A fractal contact model of rough surfaces considering detailed multi-scale effects[J].Tribology International,2022,176:107920.
[9] YUAN Y,XU K,ZHAO K.The loading-unloading model of contact between fractal rough surfaces[J].International Journal of Precision Engineering and Manufacturing,2020,21(6):1047-1063.
[10] SUN X,XING W.Fractal model of thermal contact conductance of rough surfaces based on cone asperity[J].Aircraft Engineering and Aerospace Technology,2023,95(6):966-973.
[11] YU G,MAO H,JIANG L,et al.Fractal contact mechanics model for the rough surface of a beveloid gear with elliptical asperities[J].Applied Sciences,2022,12(8):4071.
[12] WEN Y,TANG J,ZHOU W,et al.New analytical model of elastic-plastic contact for three-dimensional rough surfaces considering interaction of asperities[J].Friction,2021,10(2):217-231.
[13] SUN W,LAN G,ZHANG X.Modeling of normal stiffness of mechanical joint based on anisotropic fractal theory[J].Journal of Mechanical Science and Technology,2023,37(8):4193-4205.
[14] ZHANG C,YU W,YIN L,et al.Modeling of normal contact stiffness for surface with machining textures and analysis of its influencing factors[J].International Journal of Solids and Structures,2023,262-263:112042.
[15] MAKHOVSKAYA Y.Effect of surface relief on sliding friction of viscoelastic bodies[J].Acta Mechanica,2021,232(5):1933-1942.
[16] YAN J,YIN H,ZHAO Z,et al.Wavelet regularization benefits adversarial training[J].Information Sciences,2023,649:119650.
[17] XU Y,BALINT D S,GREINER C,et al.On the origin of plasticity-induced microstructure change under sliding contacts[J].Friction,2022,11(3):473-488.
[18] ROSTAMI A,GOEDECKE A,MOCK R,et al.Three-dimensional modeling of elasto-plastic sinusoidal contact under time dependent deformation due to stress relaxation[J].Tribology International,2014,73:25-35.
[19] JOROBATA Y,KONO D.Cutter mark cross method for improvement of contact stiffness by controlling distribution of real contact area[J].Precision Engineering,2020,63:197-205.
[20] ZHANG L,WEN J,LIU M,et al.A revised continuous observation length model of rough contact without adhesion[J].Mathematics,2022,10(20):3764.
[21] LV B,HAN K,WANG Y,et al.Analysis and experimental verification of the sealing performance of PEM fuel cell based on fractal theory[J].Fractal and Fractional,2023,7(5):401.
[22] YU Q,SUN J,JI Z.Mechanics analysis of rough surface based on shoulder-shoulder contact[J].Applied Sciences,2021,11(17):8048.
[23] SHEN F,LI Y H,KE L L.A novel fractal contact model based on size distribution law[J].Int J Mech Sci,2023,249:108255.
[24] ZHU L,CHEN J,ZHANG Z,et al.Normal contact stiffness model considering 3D surface topography and actual contact status[J].Mechanical Sciences,2021,12(1):41-50.
[25] XIE W,LIU C,HUANG G,et al.Numerical and experimental study on rod-fastened rotor dynamics using semi-analytical elastic-plastic model[J].Journal of Engineering for Gas Turbines and Power,2022,144(6):064501.
[26] LI W,ZHAN W,HUANG P.A physics-based model of a dynamic tangential contact system of lap joints with non-Gaussian rough surfaces based on a new Iwan solution[J].AIP Advances,2020,10(3):035207.
[27] YUAN B,WANG Y,SUN W,et al.Theoretical and experimental study on interface stiffness measurement of rough surface using improved acoustic model[J].Mechanical Systems and Signal Processing,2023,186:109839.
[28] BAI Y,AN Q,SUO S,et al.An analytical model for the normal contact stiffness of mechanical joint surfaces based on parabolic cylindrical asperities[J].Materials,2023,16(5):1883.
[29] HALLING K A N A J.The normal approach between rough flat surfaces in contact[J].Wear,1975,32(1):81-93.