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A novel stress distribution analytical model of O-ring seals under different properties of materials

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Abstract

The elastomeric O-ring seals have been widely used as sealing elements in hydraulic systems. The sealing performance of O-ring seals is related to stress distribution. The stresses distribution depends on the squeeze rate and internal pressure, and would vary with properties of O-ring seals materials. Thus, in order to study the sealing performance of O-ring seals, it is necessary to describe the analytic relationship between stress distribution and properties of O-ring seals materials. For this purpose, a novel Stress distribution analytical model (SDAM) is proposed in this paper. The analytical model utilizes two stress complex functions to describe the stress distribution of O-ring seals. The proposed SDAM can express not only the analytical relationship between stress distribution and Young’s modulus, but also the one between stress distribution and Poisson’s ratio. Finally, compared results between finite element analysis and the SDAM validate that the proposed model can effectively reveal the stress distribution under different properties for O-ring materials.

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References

  1. F. Theyse, The inverse hydrodynamic theory and its application in the design of controlled leakage seals between moving parts, Proc. 3rd Int. Conf. on Fluid Sealing F (1967) 17–32.

    Google Scholar 

  2. A. Strozzi, Static stresses in an unpressurized, rounded, rectangular, elastomeric seal, Asle Transactions, 29 (4) (1986) 558–564.

    Article  Google Scholar 

  3. A. Shukla and H. Nigam, A numerical-experimental analysis of the contact stress problem, The Journal of Strain Analysis for Engineering Design, 20 (4) (1985) 241–245.

    Article  Google Scholar 

  4. H. D. Conway, The pressure distribution between two elastic bodies in contact, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 7 (5) (1956) 460–465.

    Article  MATH  Google Scholar 

  5. E. Dragoni and A. Strozzi, Theoretical analysis of an unpressurized elastomeric O-ring seal inserted into a rectangular groove, Wear, 130 (1) (1989) 41–51.

    Article  Google Scholar 

  6. A. Karaszkiewicz, Geometry and contact pressure of an Oring mounted in a seal groove, Industrial & Engineering Chemistry Research, 29 (10) (1990) 2134–2137.

    Article  Google Scholar 

  7. C. Liao, W. Huang, Y. Wang, S. Suo and Y. Liu, Fluid-solid interaction model for hydraulic reciprocating O-ring seals, Chinese Journal of Mechanical Engineering, 26 (1) (2013) 85–94.

    Article  Google Scholar 

  8. H. Kopecki and J. Smykla, Experimental-numerical hybrid technique for stress analysis of plates with holes in post buckling state, Experimental Stress Analysis, Springer (1986) 271–280.

    Chapter  Google Scholar 

  9. J. S. Hawong, D. C. Shin and H. J. Lee, Photoelastic experimental hybrid method for fracture mechanics of anisotropic materials, Experimental Mechanics, 41 (1) (2001) 92–99.

    Article  Google Scholar 

  10. A. O. Bernard, J. S. Hawong, D. C. Shin and H. S. Lim, Internal stress distribution of X-ring using photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 28 (5) (2014) 1697–1708.

    Article  Google Scholar 

  11. A. O. Bernard, J. S. Hawong, D. C. Shin and B. Dong, Contact behavior analysis of elastomeric x-ring under uniform squeeze rate and internal pressure before and after forcing-out using the photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 29 (5) (2015) 2157–2168.

    Article  Google Scholar 

  12. D. C. Shin, J. S. Hawong, S. W. Lee, A. O. Bernard and H.-S. Lim, Contact behavior analysis of X-ring under internal pressure and uniform squeeze rate using photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 28 (10) (2014) 4063–4073.

    Article  Google Scholar 

  13. M. M. Attar, F. Barati, M. Ahmadpour and E. Rezapour, Failure analysis of unidirectional polymeric matrix composites with two serial pin loaded-holes, Journal of Mechanical Science and Technology, 30 (6) (2016) 2583–2591.

    Article  Google Scholar 

  14. J. Nam, J. Hawong, S. Han and S. Park, Contact stress of Oring under uniform squeeze rate by photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 22 (12) (2008) 2337–2349.

    Article  Google Scholar 

  15. J. Hawong, J. Nam, S. Han, O. Kwon and S. Park, A study on the analysis of O-ring under uniform squeeze rate and internal pressure by photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 23 (8) (2009) 2330–2340.

    Article  Google Scholar 

  16. J. H. Nam, J. S. Hawong, K. H. Kim, O. S. Kwon and S.-H. Park, A study on the development of a loading device using a photoelastic stress freezing method for the analysis of O-ring stress, Journal of Mechanical Science and Technology, 24 (3) (2010) 693–701.

    Article  Google Scholar 

  17. J. Nam, J. Hawong, Y. Liu and D. Shin, 3-Dimensional stress analysis of O-ring under uniform squeeze rate and internal pressure by photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 25 (9) (2011) 2447–2455.

    Article  Google Scholar 

  18. D. C. Shin, J. H. Nam and D. W. Kim, Experimental interior stress fields of a constantly squeezed O-ring modeling from hybrid transmission photoelasticity, Experimental Techniques (2013).

  19. A. Sackfield, D. Hills and D. Nowell, Mechanics of elastic contacts, Elsevier (2013).

  20. X. Wang and S. Wang, Adaptive fuzzy control with smooth inverse for nonlinear systems preceded by non-symmetric dead-zone, International Journal of Systems Science, 47 (9) (2016) 2237–2246.

    Article  MathSciNet  MATH  Google Scholar 

  21. X. Wang and S. Wang, Output torque tracking control of direct-drive rotary torque motor with dynamic friction compensation, Journal of the Franklin Institute, 352 (11) (2015) 5361–5379.

    Article  MathSciNet  Google Scholar 

  22. N. I. Muskhelishvili, Some basic problems of the mathematical theory of elasticity, Springer Science & Business Media (2013).

  23. J. Z. Chen, M. X. Huang and X. R. Wang, Non-linear finite element analysis on rubber O-sealing ring of SRM, Advanced Materials Research (2015) 490–494.

    Google Scholar 

  24. I. Green and C. English, Stresses and deformation of compressed elastomeric O-ring seals, 14th International Conference on Fluid Sealing, Firenze, Italy (1994) 6–8.

    Google Scholar 

  25. H. K. Kim, S. H. Park, H. G. Lee, D. R. Kim and Y. H. Lee, Approximation of contact stress for a compressed and laterally one side restrained O-ring, Engineering Failure Analysis, 14 (8) (2007) 1680–1692.

    Article  Google Scholar 

  26. H. Aissaoui, M. Diany and J. Azouz, Numerical simulation of radial and axial compressed elastomeric O-ring relaxation, Global Journal of Researches In Engineering, 12 (4-A) (2012).

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Authors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China

    Di Wu, Shaoping Wang & Xingjian Wang

Authors
  1. Di Wu
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  2. Shaoping Wang
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  3. Xingjian Wang
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Corresponding author

Correspondence to Xingjian Wang.

Additional information

Recommended by Associate Editor Jun-Sik Kim

Di Wu is currently a Ph.D. candidate in Mechatronics Engineering of Beihang University, China. His main research interests are dynamic fracture mechanics, stress analysis, thermal analysis etc.

Shaoping Wang received the Ph.D., M.Eng. and B.Eng. degrees in Mechatronics Engineering from Beihang University, China, in 1994, 1991 and 1988. She has been with the Automation Science and Electrical Engineering at Beihang University since 1994 and promoted to the rank of Professor in 2000. Her research interests include engineering reliability, fault diagnostic, prognostic and health management, active fault tolerant control.

Xingjian Wang received the Ph.D. and B.Eng. degrees in mechatronics engineering from Beihang University, China, in 2012 and 2006. He is currently with the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China. His research interests include nonlinear control, fault diagnostic, prognostic and health management, fault tolerant control.

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Wu, D., Wang, S. & Wang, X. A novel stress distribution analytical model of O-ring seals under different properties of materials. J Mech Sci Technol 31, 289–296 (2017). https://doi.org/10.1007/s12206-016-1231-1

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  • DOI: https://doi.org/10.1007/s12206-016-1231-1

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