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Acta Mechanica

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17-04-2023 | Original Paper

Interfacial micromechanics study on contact modeling for bolted joints

Authors: Yu Chang, Jianguo Ding, Hui Fan

Published in: Acta Mechanica | Issue 8/2023

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Abstract

Bolted joints represent the discontinuity of the assembled structures, so their contact characteristics contribute significantly to the overall static and dynamic performances of the mechanical system. For the multi-scale geometrical properties of contacting surfaces, an interfacial micromechanics modeling method is proposed to predict contact characteristics using the fractal theory. Meanwhile, the interaction effect caused by the successive tightening of multiple bolts is incorporated into the contact analysis, which characterizes the residual preload of bolts to improve the contact load model. Three contact models for the bolted joint are examined by combining the interfacial micromechanics model with the transfer matrix method for multi-body systems, the finite element method, and the virtual material method. A comparison with the experimental data of a dumbbell-shaped bolted structure is conducted to validate the contact models and estimate their practicality and accuracy. The models show their advantages and drawbacks, which depend on the complexity of the bolted structure, the requirements of computational efficiency, and the research focus.

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Qu, C., Wu, L., Ma, J., Xia, Q., Ma, S.: A fractal model of normal dynamic parameters for fixed oily porous media joint interface in machine tools. Int. J. Adv. Manuf. Technol. 68(9), 2159–2167 (2013). https://doi.org/10.1007/s00170-013-4825-0CrossRef

Zare, I., Allen, M.S.: Adapting a contact-mechanics algorithm to predict damping in bolted joints using quasi-static modal analysis. Int. J. Mech. Sci. 189, 105982 (2021). https://doi.org/10.1016/j.ijmecsci.2020.105982CrossRef

Wang, D., Zhang, Z.: A four-parameter model for nonlinear stiffness of a bolted joint with non-Gaussian surfaces. Acta Mech. 231(5), 1963–1976 (2020). https://doi.org/10.1007/s00707-020-02635-5MathSciNetCrossRef

Liu, J., Chalivendra, V., Huang, W.: Finite element based contact analysis of radio frequency MEMs switch membrane surfaces. J. Micromech. Microeng. 27(10), 105012 (2017). https://doi.org/10.1088/1361-6439/aa87ccCrossRef

Greenwood, J.A., Williamson, J.B.P.: Contact of nominally flat surfaces. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 295(1442), 300–319 (1966). https://doi.org/10.1098/rspa.1966.0242CrossRef

Greenwood, J.A., Tripp, J.H.: The elastic contact of rough spheres. J. Appl. Mech. 34(1), 153–159 (1967). https://doi.org/10.1115/1.3607616CrossRef

Greenwood, J.A., Tripp, J.H.: The contact of two nominally flat rough surfaces. Proc. Inst. Mech. Eng. 185(1), 625–633 (1970). https://doi.org/10.1243/pime_proc_1970_185_069_02CrossRef

Bush, A.W., Gibson, R.D., Thomas, T.R.: The elastic contact of a rough surface. Wear 35(1), 87–111 (1975). https://doi.org/10.1016/0043-1648(75)90145-3CrossRef

McCool, J.I.: Comparison of models for the contact of rough surfaces. Wear 107(1), 37–60 (1986). https://doi.org/10.1016/0043-1648(86)90045-1CrossRef

10.

Wang, G.F., Long, J.M., Feng, X.Q.: A self-consistent model for the elastic contact of rough surfaces. Acta Mech. 226(2), 285–293 (2014). https://doi.org/10.1007/s00707-014-1177-2MathSciNetCrossRefMATH

11.

Gao, Z., Fu, W., Wang, W.: Normal contact damping model of mechanical interface considering asperity shoulder-to-shoulder contact and interaction. Acta Mech. 230(7), 2413–2424 (2019). https://doi.org/10.1007/s00707-019-02392-0MathSciNetCrossRef

12.

Wang, H., Jia, P., Wang, L., Yun, F., Wang, G., Wang, X., Liu, M.: Research on the loading–unloading fractal contact model between two three-dimensional spherical rough surfaces with regard to friction. Acta Mech. 231(10), 4397–4413 (2020). https://doi.org/10.1007/s00707-020-02787-4MathSciNetCrossRef

13.

Majumdar, A., Bhushan, B.: Fractal model of elastic-plastic contact between rough surfaces. ASME J. Tribol. 113(1), 1–11 (1991). https://doi.org/10.1115/1.2920588CrossRef

14.

Li, Q., Kim, K.S.: Micromechanics of rough surface adhesion: a homogenized projection method. Acta Mech. Solida Sin. 22(5), 377–390 (2009). https://doi.org/10.1016/S0894-9166(09)60288-3CrossRef

15.

Komvopoulos, K., Ye, N.: Three-dimensional contact analysis of elastic-plastic layered media with fractal surface topographies. ASME J. Tribol. 123(3), 632–640 (2000). https://doi.org/10.1115/1.1327583CrossRef

16.

Yan, W., Komvopoulos, K.: Contact analysis of elastic-plastic fractal surfaces. J. Appl. Phys. 84(7), 3617–3624 (1998). https://doi.org/10.1063/1.368536CrossRef

17.

Liang, X.M., Wang, G.F.: A friction model of fractal rough surfaces accounting for size dependence at nanoscale. Acta Mech. 233(1), 69–81 (2022). https://doi.org/10.1007/s00707-021-03109-yMathSciNetCrossRefMATH

18.

Zong, K., Qin, Z., Chu, F.: Modeling of frictional stick-slip of contact interfaces considering normal fractal contact. J. Appl. Mech. 89(3), 031003 (2022). https://doi.org/10.1115/1.4052882CrossRef

19.

Chang, W.R., Etsion, I., Bogy, D.B.: An elastic-plastic model for the contact of rough surfaces. ASME J. Tribol. 109(2), 257–263 (1987). https://doi.org/10.1115/1.3261348CrossRef

20.

Zhao, Y., Maietta, D.M., Chang, L.: An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow. ASME J. Tribol. 122(1), 86–93 (2000). https://doi.org/10.1115/1.555332CrossRef

21.

Kogut, L., Etsion, I.: Elastic-plastic contact analysis of a sphere and a rigid flat. J. Appl. Mech. 69(5), 657–662 (2002). https://doi.org/10.1115/1.1490373CrossRefMATH

22.

Kogut, L., Etsion, I.: A Finite element based elastic-plastic model for the contact of rough surfaces. Tribol. Trans. 46(3), 383–390 (2003). https://doi.org/10.1080/10402000308982641CrossRef

23.

Liang, Y., Chen, W., Sun, Y., Chen, G., Wang, T., Sun, Y.: Dynamic design approach of an ultra-precision machine tool used for optical parts machining. Proc. Inst. Mech. Eng. Part B J. Eng. Manuf. 226(11), 1930–1936 (2012). https://doi.org/10.1177/0954405412458998CrossRef

24.

Liang, Y., Chen, W., Sun, Y., Luo, X., Lu, L., Liu, H.: A mechanical structure-based design method and its implementation on a fly-cutting machine tool design. Int. J. Adv. Manuf. Technol. 70(9–12), 1915–1921 (2013). https://doi.org/10.1007/s00170-013-5436-5CrossRef

25.

Jiang, K., Liu, Z., Yang, C., Zhang, C., Tian, Y., Zhang, T.: Effects of the joint surface considering asperity interaction on the bolted joint performance in the bolt tightening process. Tribol. Int. 167, 107408 (2022). https://doi.org/10.1016/j.triboint.2021.107408CrossRef

26.

Wang, R., Zhu, L., Zhu, C.: Research on fractal model of normal contact stiffness for mechanical joint considering asperity interaction. Int. J. Mech. Sci. 134, 357–369 (2017). https://doi.org/10.1016/j.ijmecsci.2017.10.019CrossRef

27.

Liu, X., Sun, W., Liu, H., Du, D., Ma, H.: Nonlinear vibration modeling and analysis of bolted thin plate based on non-uniformly distributed complex spring elements. J. Sound Vib. 527, 116883 (2022). https://doi.org/10.1016/j.jsv.2022.116883CrossRef

28.

Tian, H.L., Li, B., Liu, H.Q., Mao, K.M., Peng, F.Y., Huang, X.L.: A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools. Int. J. Mach. Tools Manuf. 51(3), 239–249 (2011). https://doi.org/10.1016/j.ijmachtools.2010.11.004CrossRef

29.

An, C., Wei, R., Wang, Z., Xu, Q., Lei, X., Zhang, J.: Investigation on dynamic performance of ultra-precision flycutting machine tool based on virtual material method. Proc. Inst. Mech. Eng. Part B J. Eng. Manuf. 235(9), 1473–1482 (2021). https://doi.org/10.1177/0954405421990134CrossRef

30.

Zhang, Z., Xiao, Y., Xie, Y., Su, Z.: Effects of contact between rough surfaces on the dynamic responses of bolted composite joints: multiscale modeling and numerical simulation. Compos. Struct. 211, 13–23 (2019). https://doi.org/10.1016/j.compstruct.2018.12.019CrossRef

31.

Zhou, Y., Xiao, Y., He, Y., Zhang, Z.: A detailed finite element analysis of composite bolted joint dynamics with multiscale modeling of contacts between rough surfaces. Compos. Struct. 236, 111874 (2020). https://doi.org/10.1016/j.compstruct.2020.111874CrossRef

32.

Wang, Y.Q., Wu, J.K., Liu, H.B., Kuang, K., Cui, X.W., Han, L.S.: Analysis of elastic interaction stiffness and its effect on bolt preloading. Int. J. Mech. Sci. 130, 307–314 (2017). https://doi.org/10.1016/j.ijmecsci.2017.05.032CrossRef

33.

Rui, X., Wang, G., Zhang, J.: Transfer matrix method for multibody systems: theory and applications. Wiley, Hoboken (2018)MATH

34.

Chang, Y., Ding, J.G., He, Z.F., Shehzad, A., Ding, Y.Y., Lu, H.J., Zhuang, H., Chen, P., Zhang, Y., Zhang, X.X., Chen, Y.H.: Effect of joint interfacial contact stiffness on structural dynamics of ultra-precision machine tool. Int. J. Mach. Tools Manuf. 158, 103609 (2020). https://doi.org/10.1016/j.ijmachtools.2020.103609CrossRef

35.

Zou, Q., Sun, T.S., Nassar, S., Barber, G.C., El-Khiamy, H., Zhu, D.: Contact mechanics approach to determine effective radius in bolted joints. ASME J. Tribol. 127(1), 30–36 (2005). https://doi.org/10.1115/1.1829717CrossRef

36.

Hui, Y., Huang, Y.M., Li, P.Y., Li, Y., Bai, L.J.: Virtual material parameter acquisition based on the basic characteristics of the bolt joint interfaces. Tribol. Int. 95, 109–117 (2016). https://doi.org/10.1016/j.triboint.2015.11.013CrossRef

37.

Young, Y.L.: Time-dependent hydroelastic analysis of cavitating propulsors. J. Fluids Struct. 23(2), 269–295 (2007). https://doi.org/10.1016/j.jfluidstructs.2006.09.003CrossRef

Title: Interfacial micromechanics study on contact modeling for bolted joints
Authors: Yu Chang
Jianguo Ding
Hui Fan
Publication date: 17-04-2023
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 8/2023
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-023-03562-x

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Interfacial micromechanics study on contact modeling for bolted joints

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