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DOI QR Code

Non-uniform virtual material modeling on contact interface of assembly structure with bolted joints

  • Cao, Jianbin (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Zhang, Zhousuo (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Yang, Wenzhan (School of Mechanical Engineering, Xi'an Jiaotong University) ;
  • Guo, Yanfei (School of Mechanical Engineering, Xi'an Jiaotong University)
  • Received : 2019.06.02
  • Accepted : 2019.07.15
  • Published : 2019.12.10

Abstract

Accurate modeling of contact interface in bolted joints is crucial in predicting the dynamic behavior for bolted assemblies under external load. This paper presents a contact pressure distribution based non-uniform virtual material method to describe the joint interface of assembly structure, which is connected by sparsely distributed multi-bolts. Firstly, the contact pressure distribution of bolted joints is obtained by the nonlinear static analysis in the finite element software ANSYS. The contact surface around bolt hole is divided into several sub-layers, and contact pressure in each sub-layer is thought to be evenly. Then, considering multi-asperity contact at the micro perspective, the relationship between contact pressure and interfacial virtual material parameters for each sub-layer is established by using the fractal contact theory. Finally, an experimental platform for the dynamic characteristics testing of a beam lap structure with double-bolted joint is constructed to validate the efficiency of proposed method. It is found that the theoretical results are in good agreement with experimental results by impact response in both time- and frequency-domain, and the relative errors of the first four natural frequencies are less than 1%. Furthermore, the presented model is used to examine the effect of rough contact surface on dynamic characteristics of bolted joint.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

The research described in this paper was financially supported by Science Challenge Project (No. TZ2018007) and National Natural Science Foundation of China (No. 51775410).

References

  1. Abad, J., Franco, J.M., Celorrio, R. and Lezaun, L. (2012), "Design of experiments and energy dissipation analysis for a contact mechanics 3D model of frictional bolted lap joints", Adv. Eng. Soft., 45(1), 42-53. https://doi.org/10.1016/j.advengsoft.2011.09.021.
  2. Adel, F., Shokrollahi, S., Jamal-Omidi, M., Ahmadian, H. (2017), "A model updating method for hybrid composite/aluminum bolted joints using modal test data", J. Sound Vib., 396, 172-185. https://doi.org/10.1016/j.jsv.2017.02.035.
  3. Abid, M. and Khan, Y.M. (2013), "The effect of bolt tightening methods and sequence on the performance of gasketed bolted flange joint assembly", Struct. Eng. Mech., 46(6), 843-852. https://doi.org/10.12989/sem.2013.46.6.843 .
  4. Ahmadian, H. and Jalali, H. (2007a), "Identification of bolted lap joints parameters in assembled structures", Mech. Syst. Signal Pr., 21(2), 1041-1050. https://doi.org/10.1016/j.ymssp.2005.08.015 .
  5. Ahmadian, H. and Jalali, H. (2007b), "Generic element formulation for modelling bolted lap joints", Mech. Syst. Signal Pr., 21(5), 2318-2334. https://doi.org/10.1016/j.ymssp.2006.10.006 .
  6. Ahmadian, H., Mottershead, J.E., James, S., Friswell, M.I. and Reece, C.A. (2006), "Modelling and updating of large surface-to-surface joints in the AWE-MACE structure", Mech. Syst. Signal Pr., 20(4), 868-880. https://doi.org/10.1016/j.ymssp.2005.05.005 .
  7. Argatov, II. and Bucher, E.A. (2011), "On the Iwan models for lap-type bolted joints", Int. J. Nonlin. Mech. 46(2), 347-356. https://doi.org/10.1016/j.ijnonlinmec.2010.09.018 .
  8. Bograd, S., Reuss, P., Schmidt, A., Gaul, L. and Mayer, M. (2011), "Modeling the dynamics of mechanical joints", Mech. Syst. Signal Pr., 25(8), 2801-2826. https://doi.org/10.1016/j.ymssp.2011.01.010 .
  9. Brake, M.R.W. (2017), "A reduced Iwan model that includes pinning for bolted joint mechanics", Nonlinear Dynam., 87(2), 1335-1349. https://doi.org/10.1007/s11071-016-3117-2 .
  10. Gant, F., Rouch, P., Louf, F. and Champaney, L. (2011), "Definition and updating of simplified models of joint stiffness", Int. J. Solids Struct., 48(5), 775-784. https://doi.org/10.1016/j.ijsolstr.2010.11.011 .
  11. Greenwood, J.A. and Williamson, J.B.P. (1966), "The contact of nominally-flat surfaces", Proc. R. Soc. London A, 295(1442), 300-319. https://doi.org/10.1016/0043-1648(67)90287-6.
  12. Heller, L., Foltete, E. and Piranda, J. (2009), "Experimental identification of nonlinear dynamic properties of built-up structures", J. Sound Vib., 327(1-2), 183-196. https://doi.org/10.1016/j.jsv.2009.06.008 .
  13. Iranzad, M. and Ahmadian, H. (2012), "Identification of nonlinear bolted lap joint models", Comput. Struct., 96-97, 1-8. https://doi.org/10.1016/j.compstruc.2012.01.011 .
  14. Jackson, R.L. and Green, I. (2005), "A finite element study of elasto-plastic hemispherical contact against a rigid flat", J. Tribol-T ASME, 127(2), 343-354. https://doi.org/10.1115/1.1866166 .
  15. Jiang, S., Zheng, Y. and Zhu, H. (2010), "A contact stiffness model of machined plane joint based on fractal theory", J. Tribol-T ASME, 132, 011401. https://doi.org/10.1115/1.4000305 .
  16. Kim, J., Yoon, J.C. and Kang, B.S. (2007), "Finite element analysis and modeling of structure with bolted joints", Appl. Math. Model., 31(5), 895-911. https://doi.org/10.1016/j.apm.2006.03.020 .
  17. Kogut, L. and Etsion, I. (2002), "Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat", J. Appl. Mech-T ASME, 69(5), 657-662. https://doi.org/10.1115/1.1490373 .
  18. Ksentini, O., Combes, B., Abbes, M.S., Daidie, A. and Haddar, M. (2015), "Simplified model to study the dynamic behaviour of a bolted joint and its self loosening", Struct. Eng. Mech., 55(3), 639-654. https://doi.org/10.12989/sem.2015.55.3.639 .
  19. Lopez-Arancibia, A., Altuna-Zugatis, A.M., Aldasoro, H.A. and Pradera-Mallabiabarrena, A. (2015), "Bolted joints for singlelayer structures: numerical analysis of the bending behaviour", Struct. Eng. Mech., 56(3), 355-367. https://doi.org/10.12989/sem.2015.56.3.355 .
  20. Mayer, M.H. and Gaul, L. (2007), "Segment-to-segment contact elements for modelling joint interfaces in finite element analysis", Mech. Syst. Signal Pr., 21(2), 724-734. https://doi.org/10.1016/j.ymssp.2005.10.006 .
  21. Majumdar, A. and Bhushan, B. (1991), "Fractal model of elasticplastic contact between rough surfaces", J. Tribol-T ASME, 113(1), 1-11. https://doi.org/10.1115/1.2920588 .
  22. Mehrpouya, M., Graham, E. and Park, S.S. (2013), "FRF based joint dynamics modeling and identification", Mech. Syst. Signal Pr., 39(1-2), 265-279. https://doi.org/10.1016/j.ymssp.2013.03.022 .
  23. Mignolet, M.P., Song, P. and Wang, X.Q. (2015), "A stochastic Iwan-type model for joint behavior variability modeling", J. Sound Vib., 349, 289-298. https://doi.org/10.1016/j.jsv.2015.03.032.
  24. Song, Y., Hartwigsen, C.J., Mcfarland, D.M., Vakakis, A.F. and Bergman L.A. (2004), "Simulation of dynamics of beam structures with bolted joints using adjusted Iwan beam elements", J. Sound Vib., 273(1), 249-276. https://doi.org/10.1016/s0022-460x(03)00499-1.
  25. Tian, H., Li, B., Liu, H., Mao, K., Peng, F. and Huang, X. (2011), "A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools", Int. J. Mach. Tool. Manu., 51(3), 239-249. https://doi.org/10.1016/j.ijmachtools.2010.11.004.
  26. Wang, S. and Komvopoulos, K. (1994), "A fractal theory of the interfacial temperature distribution in the slow sliding regime: Part I-elastic contact and heat transfer analysis", J. Tribol-T ASME, 116(4), 812-822. https://doi.org/10.1115/1.2927338.
  27. Zhang, X., Wang, N., Lan, G., Wen, S. and Chen, Y. (2014), "Tangential damping and its dissipation factor models of joint interfaces based on fractal theory with simulation", J. Tribol-T ASME, 136(1), 011704. https://doi.org/10.1115/1.4025548.

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