A modeling approach for the normal stiffness of the lateral contact interface considering the horizontal distance distribution between asperities is proposed. After the information of contact plane are acquired by sampling
the distribution of the horizontal distances among asperities on the contact plane are investigated statistically. It is found that the distribution of the horizontal distances among asperities is approximatly the normal distribution. Once a normal stiffness of asperities is determined based on side contact theory between asperities and continuous deformation theory of asperities
according to the distribution law of the horizontal distances between asperities
a new normal contact stiffness model of contact interface is constructed following probability and statistics theory. The simulation indicates that the normal contact load of the new model is greater than the load of KE model and less than GZQ model when the average distance between contact surfaces is given. Meanwhile
when the distance is small
the normal contact stiffness of the new model always less than that of KE model. When the distance is large
the contact stiffness of this new model is greater than that of KE model
and the normal contact stiffness of the new model is always is less than that of GZQ model. And the top three-order vibration type acquired based on the finite element simulation of the new model coincides well with the test outcome
and the maximum natural frequency error reaches 8.2%
which verifies that this newly proposed model can forecast the normal dynamic performance of the joint plane more exactly.
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references
GORBATIKH L, POPOVA M. Modeling of a locking mechanism between two rough surfaces under cyclic loading [J]. International Journal of Mechanical Sciences, 2006, 48(9): 1014-1020.
SEPEHRI A, FARHANG K. On elastic interaction of nominally flat rough surfaces [J]. Journal of Tribology, 2008, 130(1): 011014.
SEPEHRI A, FARHANG K. Closed-form equations for three dimensional elastic-plastic contact of nominally flat rough surfaces [J]. Journal of Tribology, 2009, 131(4): 041402.
ZHUANG Yan, LI Baotong, HONG Jun, et al. A normal contact stiffness model of the interface [J]. Journal of Shanghai Jiaotong University, 2013, 47(2): 180-186.
ZHU Linbo, ZHUANG Yan, HONG Jun, et al. Elastic-plastic model for contact of two asperities considering shoulder-shoulder contact [J]. Journal of Xi'an Jiaotong University, 2013, 47(11): 48-52, 104.
ZHAO Bin, ZHANG Song, MAN Jia, et al. A modified normal contact stiffness model considering effect of surface topography [J]. Journal of Engineering Tribology, 2015, 229(6): 677-688.
WANG Shijun, LI Zhitao, HAN Zirui, et al. Tangential stiffness model for joint surface based on asperity continuous deformation theory [J]. Journal of Xi'an University of Technology, 2019, 35(4): 401-410.
KOGUT L, ETSION I. A finite element based elastic-plastic model for the contact of rough surfaces [J]. Tribology Transactions, 2003, 46(3): 383-390.
CHANG W R, ETSION I, BOGY D B. An elastic-plastic model for the contact of rough surfaces [J]. Journal of Tribology, 1987, 109(2): 257-263.
JOHNSON K L. Contact mechanics [M]. Cambridge: Cambridge University Press, 1985: 45-50.
NURI K A, HALLING J. The normal approach between rough flat surfaces in contact [J]. Wear, 1975, 32(1): 81-93.
ZHAO Jinjuan, WANG Shijun, YANG Chao, et al. A constitutive law based on transverse isotropic hypothesis and finite element model of fixed joints [J]. China Mechanical Engineering, 2016, 27(8): 1007-1011.
ZHANG Xueliang, FAN Shirong, WEN Shuhua, et al. Modeling method of fixed joint interfaces based on equivalent transversely isotropic virtual material [J]. Journal of Mechanical Engineering, 2017, 53(15): 141-147.
JIA Wenfeng, ZHANG Xueliang, WEN Shuhua, et al. A method for modeling and parameter acquisitions of joints based on virtual materials [J]. Journal of Taiyuan University of Science and Technology, 2013, 34(5): 347-351.
TIAN Hongliang, LIU Furong, FANG Zifan, et al. Immovable joint surface's model using isotropic virtual material [J]. Journal of Vibration Engineering, 2013, 26(4): 561-573.
杨超.磨削表面形貌分析与接触特性研究 [D]. 西安: 西安理工大学, 2016: 16-17.
NAYAK P R. Random process model of rough surfaces [J]. Journal of Tribology, 1971, 93(3): 398-407.
MCCOOL J I. Predicting microfracture in ceramics via a microcontact model [J]. Journal of Tribology, 1986, 108(3): 380-385.
LI Zhitao, WANG Shijun, HAN Zirui, et al. Modeling of tangential stiffness of mechanical joint surface using improved fractal theory and continuous deformation theory [J]. Journal of Xi'an Jiaotong University, 2020, 54(6): 107-114.