Normal Damping Model of Mechanical Joints Interfaces Considering Asperities in Lateral Contact

Zhiqiang Gao; Weiping Fu; Wen Wang; Leiting Lou; Jiebei Wu

doi:10.1115/1.4037954

Journal of Tribology | Volume 140 | Issue 2 | research-article

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Research Papers: Contact Mechanics

Normal Damping Model of Mechanical Joints Interfaces Considering Asperities in Lateral Contact

Zhiqiang Gao, Weiping Fu, Wen Wang, Leiting Lou and Jiebei Wu

[+] Author and Article Information

Zhiqiang Gao

School of Mechanical and Precision
Instrument Engineering,
Xi'an University of Technology,
Xi'an 710048, Shaanxi, China
e-mail: gaozhiqiangjk@163.com

Weiping Fu

School of Mechanical and Precision
Instrument Engineering,
Xi'an University of Technology,
Xi'an 710048, Shaanxi, China
e-mail: weipingf@xaut.edu.cn

Wen Wang

School of Mechanical and Precision
Instrument Engineering,
Xi'an University of Technology,
Xi'an 710048, Shaanxi, China
e-mail: wangwen@xaut.edu.cn

Leiting Lou

School of Mechanical and Precision
Instrument Engineering,
Xi'an University of Technology,
Xi'an 710048, Shaanxi, China
e-mail: 434529327@qq.com

Jiebei Wu

School of Mechanical and Precision
Instrument Engineering,
Xi'an University of Technology,
Xi'an 710048, Shaanxi, China
e-mail: 377708255@qq.com

¹Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 21, 2016; final manuscript received September 2, 2017; published online October 9, 2017. Assoc. Editor: Stephen Boedo.

J. Tribol 140(2), 021404 (Oct 09, 2017) (12 pages) Paper No: TRIB-16-1362; doi: 10.1115/1.4037954 History: Received November 21, 2016; Revised September 02, 2017

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Abstract

A mechanical interface behaves as the stiffness and damping when the interface is bearing a static normal force and a sine normal exciting force. For the interfacial normal damping, a calculating model was proposed. This proposed model studied the lateral contact (shoulder–shoulder contact) between upper and lower asperities in the elastic and elastic-perfectly plastic stages, which is neglected by other classical models. The normal force can be divided into a normal component and a tangential component when two asperities are contacting in dislocation. The relation between the loading–unloading normal component forces and deformation can be calculated, and then the strain energy dissipation between asperities can be gotten by integral. The friction energy dissipation also can be calculated based on the relation between loading–unloading tangential component forces and the slippage. Furthermore, the total interfacial energy dissipation can be obtained according to the statistical theory. Finally, the equivalent viscous damping is estimated using the vibration theory. The proposed model and classical models are compared by simulation and experiment, and it was found that the interfacial damping of the proposed model is more than the damping of the classical models. Moreover, the proposed model is consistent with the experimental results.

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References

Fu, W. P. , Huang, Y. M. , Zhang, X. L. , and Guo, Q. , 2000, “ Experimental Investigation of Dynamic Normal Characteristics of Machined Joint Surfaces,” ASME J. Vib. Acoust., 122(4), pp. 393–398. [CrossRef]

Kogut, L. , and Etsion, I. , 2002, “ Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat,” ASME J. Appl. Mech., 69(5), pp. 657–662. [CrossRef]

Kogutand, L. , and Komvopoulos, K. , 2004, “ Analysis of the Spherical Indentation Cycle for Elastic-Perfectly Plastic Solids,” J. Mater. Res., 19(12), pp. 3641–3653. [CrossRef]

Chang, W. R. , Etsion, I. , and Bogy, D. B. , 1987, “ An Elastic-Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109(2), pp. 257–263. [CrossRef]

Zhao, Y. , Maietta, D. M. , and Chang, L. , 2000, “ An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow,” ASME J. Tribol., 122(1), pp. 86–93. [CrossRef]

Kadin, Y. , Kligerman, Y. , and Etsion, I. , 2006, “ Unloading an Elastic-Plastic Contact of Rough Surfaces,” J. Mech. Phys. Solids, 54(12), pp. 2652–2674. [CrossRef]

Greenwood, J. A. , and Williamson, J. B. P. , 1966, “ Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, 295(1442), pp. 300–319. [CrossRef]

You, J. M. , and Chen, T. N. , 2011, “ Statistical Model for Normal and Tangential Contact Parameters of Rough Surfaces,” Proc. Inst. Mech. Eng., Part C, 225(1), pp. 171–185. [CrossRef]

Gorbatikh, L. , and Popova, M. , 2006, “ Modeling of a Locking Mechanism Between Two Rough Surfaces Under Cyclic Loading,” Int. J. Mech. Sci., 48(9), pp. 1014–1020. [CrossRef]

Sepehri, A. , and Farhang, K. , 2008, “ On Elastic Interaction of Nominally Flat Rough Surfaces,” ASME J. Tribol., 130(1), p. 011014.

Sepehri, A. , and Farhang, K. , 2009, “ Closed-Form Equations for Three Dimensional Elastic-Plastic Contact of Nominally Flat Rough Surfaces,” ASME J. Tribol., 131(4), p. 041402.

Abbott, E. J. , and Firestone, F. A. , 1933, “ Specifying Surface Quality—A Method Based on Accurate Measurement and Comparison,” ASME J. Mech. Eng., 55, pp. 569–572.

Brake, M. R. , 2012, “ An Analytical Elastic-Perfectly Plastic Contact Model,” Int. J. Solids Struct., 49(22), pp. 3129–3141. [CrossRef]

Etsion, I. , Kligerman, Y. , and Kadin, Y. , 2005, “ Unloading of an Elastic-Plastic Loaded Spherical Contact,” Int. J. Solids Struct., 42(13), pp. 3716–3729. [CrossRef]

Jackson, R. L. , and Green, I. , 2005, “ A Finite Element Study of Elastoplastic Hemispherical Contact Against a Rigid Flat,” ASME J. Tribol., 127(2), pp. 343–354. [CrossRef]

Jackson, R. L. , and Green, I. , 2006, “ A Statistical Model of Elasto-Plastic Asperity Contact Between Rough Surfaces,” Tribol. Int., 39(9), pp. 906–914. [CrossRef]

Jackson, R. L. , Green, I. , and Dan, B. M. , 2010, “ Predicting the Coefficient of Restitution of Impacting Elastic-Perfectly Plastic Spheres,” Nonlinear Dyn., 60(3), pp. 217–229. [CrossRef]

Cattaneo, C. , 1938, “ Sul contatto di due corpi elastici: distribuzione locale degli sforzi,” Accad. Lincei Rend., 27(6), pp .342–348.

Mindlin, R. D. , 1949, “ Compliance of Elastic Bodies in Contact,” ASME J. Appl. Mech., 16, pp. 259–268.

Jäger, J. , 1993, “ Elastic Contact of Equal Spheres Under Oblique Forces,” Arch. Appl. Mech., 63(6), pp. 402–412. [CrossRef]

Jäger, J. , 1995, “ Axi-Symmetric Bodies of Equal Material in Contact Under Torsion or Shift,” Arch. Appl. Mech., 65(7), pp. 478–487. [CrossRef]

Jäger, J. , 1999, “ Uniaxial Deformation of a Random Packing of Particles,” Arch. Appl. Mech., 69(3), pp. 181–203. [CrossRef]

Brizmer, V. , Kligerman, Y. , and Etsion, I. , 2007, “ Elastic-Plastic Spherical Contact Under Combined Normal and Tangential Loading in Full Stick,” Tribol. Lett., 25(1), pp. 61–70. [CrossRef]

Fujimoto, T. , Kagami, J. , Kawaguchi, T. , and Hatazawa, T. , 2000, “ Micro-Displacement Characteristics Under Tangential Force,” Wear, 241(2), pp. 136–142. [CrossRef]

Vijaywargiya, R. , and Green, I. , 2007, “ A Finite Element Study of the Deformations, Forces, Stress Formations, and Energy Losses in Sliding Cylindrical Contacts,” Int. J. Non-Linear Mech., 42(7), pp. 914–927. [CrossRef]

Jackson, R. L. , Duvvuru, R. S. , Meghani, H. , and Mahajan, M. , 2007, “ An Analysis of Elasto-Plastic Sliding Spherical Asperity Interaction,” Wear, 262(1–2), pp. 210–219. [CrossRef]

Mulvihill, D. M. , Kartal, M. E. , Nowell, D. , and Hills, D. A. , 2011, “ An Elastic-Plastic Asperity Interaction Model for Sliding Friction,” Tribol. Int., 44(12), pp. 1679–1694. [CrossRef]

Faulkner, A. , and Arnell, R. D. , 2000, “ The Development of a Finite Element Model to Simulate the Sliding Interaction Between Two, Three-Dimensional, Elastoplastic, Hemispherical Asperities,” Wear, 242(1–2), pp. 114–122. [CrossRef]

Boucly, V. , Nlias, D. , and Green, I. , 2006, “ Modeling of the Rolling and Sliding Contact Between Two Asperities—Part I: Numerical Methodology,” ASME Paper No. IJTC2006-12103.

Shi, X. , Zou, Y. , and Fang, H. , 2016, “ Numerical Investigation of the Three-Dimensional Elastic-Plastic Sloped Contact Between Two Hemispheric Asperities,” ASME J. Appl. Mech., 83(10), p. 101004. [CrossRef]

Zhao, B. , Zhang, S. , and Keer, L. M. , 2016, “ Semi-Analytical and Numerical Analysis of Sliding Asperity Interaction for Power-Law Hardening Materials,” Wear, 364–365, pp. 184–192. [CrossRef]

Mccool, J. I. , 1986, “ Comparison of Models for the Contact of Rough Surfaces,” Wear, 107(1), pp. 37–60. [CrossRef]

Kogut, L. , and Etsion, I. , 2004, “ A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces,” ASME J. Tribol., 126(1), pp. 34–40. [CrossRef]

Eriten, M. , Polycarpou, A. A. , and Bergman, L. A. , 2010, “ Physics-Based Modeling for Partial Slip Behavior of Spherical Contacts,” Int. J. Solids Struct., 47(18–19), pp. 2554–2567. [CrossRef]

Greenwood, J. A. , Johnson, K. L. , and Matsubara, E. , 1984, “ A Surface Roughness Parameter in Hertz Contact,” Wear, 100(1), pp. 47–57. [CrossRef]

Misra, A. , and Huang, S. , 2011, “ Effect of Loading Induced Anisotropy on the Shear Behavior of Rough Interfaces,” Tribol. Int., 44(5), pp. 627–634. [CrossRef]

Figures

Fig. 1

The lateral contact of a pair of asperities under static and dynamic normal forces

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Fig. 2

Contact force versus dimensionless separation

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Fig. 3

Contact area versus contact force

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Fig. 4

Contact damping versus dimensionless separation

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Fig. 5

Contact damping versus dimensionless deformation

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Fig. 6

Contact damping versus dimensionless amplitude of dynamic deformation

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Fig. 7

Interfacial damping versus dimensionless contact force

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Fig. 8

Contact damping versus frequency

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Fig. 9

1—box body, 2—lower test piece, 3—upper test piece, 4—eddy current displacement sensor, 5—normal force screw, 6—normal force sleeve, 7—thrust bearing, 8—connecting shaft, 9—static force transducer, 10—set piece, 11—dynamic force sensor, and 12—pedestal. (a) The cross section picture and (b) the photograph of real products.

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Fig. 10

The data acquisition and analysis system: (a) the schematic diagram of the data acquisition and analysis system and (b) the photograph of the data acquisition and analysis system

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Fig. 11

The mechanical model of joint surface

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Fig. 12

The verification of the relationship between damping and amplitude

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Fig. 13

The verification of the relationship between damping and frequency

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Fig. 14

The verification of the relationship between damping and pressure

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Gao Z, Fu W, Wang W, Lou L, Wu J. Normal Damping Model of Mechanical Joints Interfaces Considering Asperities in Lateral Contact. ASME. J. Tribol. 2017;140(2):021404-021404-12. doi:10.1115/1.4037954.

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Normal Damping Model of Mechanical Joints Interfaces Considering Asperities in Lateral Contact

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