Abstract
When two rough surfaces contact under normal static and dynamic forces, the contact damping is an important parameter for the vibration reduction. In this paper, a normal contact damping model is built by the statistical method, which involves the asperity shoulder-to-shoulder contact and interaction of adjacent asperities. Furthermore, the effects of the normal static force, vibration frequency and amplitude of mean separation on the normal contact damping are studied, respectively. Comparing contact damping of some classical models with the results of the proposed model, the effects of the asperity shoulder-to-shoulder contact and interaction can be revealed. According to the final conclusions, an appropriate normal contact damping can be obtained through changing the normal static force, frequency and amplitude of the mean separation, which has significance in some extent for the machine tool vibration.
Similar content being viewed by others
References
Ren, Y.: Identification of ’Effective’ linear joints using coupling and joint identification techniques. J. Vib. Acoust. 120(2), 331–338 (1998)
Sepehri, A., Farhang, K.: On elastic interaction of nominally flat rough surfaces. J. Tribol. 130(1), 125–128 (2008)
Gorbatikh, L., Popova, M.: Modeling of a locking mechanism between two rough surfaces under cyclic loading. Int. J. Mech. Sci. 48(9), 1014–1020 (2006)
Greenwood, J.A., Williamson, J.B.P.: Contact of nominally flat surfaces. Proc. R. Soc Lond. 295(1442), 300–319 (1966)
Chang, W.R., Etsion, I., Bogy, D.B.: An elastic-plastic model for the contact of rough surfaces. J. Tribol. 109(2), 257–263 (1987)
Kogut, L., Etsion, I.: A finite element based elastic-plastic model for the contact of rough surfaces. Model. Simul. Eng. 46(3), 383–390 (2011)
Kadin, Y., Kligerman, Y., Etsion, I.: Unloading an elastic-plastic contact of rough surfaces. J. Mech. Phys. Solids 54(12), 2652–2674 (2006)
Etsion, I., Kligerman, Y., Kadin, Y.: Unloading of an elastic-plastic loaded spherical contact. Int. J. Solids Struct. 42(13), 3716–3729 (2005)
Jackson, R.L., Green, I.: A finite element study of elastoplastic hemispherical contact against a rigid flat. J. Tribol. 127(2), 343–354 (2005)
Jackson, R.L., Green, I.: A statistical model of elasto-plastic asperity contact between rough surfaces. Tribol Int. 39(9), 906–914 (2006)
Jäger, J.: Axi-symmetric bodies of equal material in contact under torsion or shift. Arch. Appl. Mech. 65(7), 478–487 (1995)
Faulkner, A., Arnell, R.D.: The development of a finite element model to simulate the sliding interaction between two, three-dimensional, elastoplastic, hemispherical asperities. Wear 242(1), 114–122 (2000)
Jackson, R.L., Duvvuru, R.S., Meghani, H., Mahajan, M.: An analysis of elasto-plastic sliding spherical asperity interaction. Wear 262(1–2), 210–219 (2007)
Abdo, J., Farhang, K.: Elastic-plastic contact model for rough surfaces based on plastic asperity concept. Int. J. Non-Linear Mech. 40(4), 495–506 (2005)
Sepehri, A., Farhang, K.: Closed-form equations for three dimensional elastic-plastic contact of nominally flat rough surfaces. J. Tribol. 131(4), 041402 (2009)
Mulvihill, D.M., Kartal, M.E., Nowell, D., Hills, D.A.: An elastic-plastic asperity interaction model for sliding friction. Tribol. Int. 44(12), 1679–1694 (2011)
Shi, X., Zou, Y., Fang, H.: Numerical investigation of the three-dimensional elastic-plastic sloped contact between two hemispheric asperities. J. Appl. Mech. 83(10), (2016)
Ciavarella, M., Greenwood, J.A., Paggi, M.: Inclusion of “interaction” in the Greenwood and Williamson contact theory. Wear 265(5), 729–734 (2008)
Zhao, Y., Chang, L.: A model of asperity interactions in elastic-plastic contact of rough surfaces. J. Tribol. 123(4), 857 (2001)
Zhao, Y., Maietta, D.M., Chang, L.: An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow. J. Tribol. 122(1), 86–93 (2000)
Knowles, J.K.: On Saint-Venant’s principle in the two-dimensional linear theory of elasticity. Arch Ration. Mech. Anal. 21(1), 1–22 (1966)
Love, A.E.H.: The stress produced in a semi-infinite solid by pressure on part of the boundary. Phil. Trans. R. Soc. Lond. 228(659–669), 377–420 (1929)
Jeng, Y.R., Peng, S.R.: Elastic-plastic contact behavior considering asperity interactions for surfaces with various height distributions. J. Tribol. 128(2), 665–697 (2006)
Chandrasekar, S., Eriten, M., Polycarpou, A.A.: An improved model of asperity interaction in normal contact of rough surfaces. J. Appl. Mech. 80(1), 1025 (2013)
Yoshimure, M.: Computer design improvement of machine tool structure incorporation joint dynamics data (1980)
Fu, W.P., Huang, Y.M., Zhang, X.L., Guo, Q.: Experimental investigation of dynamic normal characteristics of machined joint surfaces. J. Vib. Acoust. 122(4), 393–398 (2000)
Shi, X., Polycarpou, A.A.: Measurement and modeling of normal contact stiffness and contact damping at the meso scale. J. Vib. Acoust. 127(1), 52–60 (2005)
Misra, A.: Mechanist model for contact between rough surfaces. J. Eng. Mech. 123(5), 45352–45357 (2011)
Misra, A., Huang, S.: Effect of loading induced anisotropy on the shear behavior of rough interfaces. Tribol. Int. 44(5), 627–634 (2011)
Acknowledgements
This research was supported by National Natural Science Foundation of China under Grant No. 51275407, 51475363. The authors gratefully acknowledge financial support provided by NNSF.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Gao, Z., Fu, W. & Wang, W. Normal contact damping model of mechanical interface considering asperity shoulder-to-shoulder contact and interaction. Acta Mech 230, 2413–2424 (2019). https://doi.org/10.1007/s00707-019-02392-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-019-02392-0