Skip to main content
Log in

Structural analysis and testing of a miniature flexible joint under pressure and vector loading

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The structural characteristics of a miniature tactical motor flexible joint subjected to pressure and vector loading were investigated using finite element analysis and bench test. Three-dimensional non-linear finite element analysis was conducted using ANSYS Code Version 11.0. The axial deflection, vectoring torque, and stress distributions in elastomeric and reinforcement rings were presented. The predicted values were consistent with the test data. Results indicate that the axial compressive stiffness increased gradually and nonlinearly with pressure, while the angular stiffness remained nearly constant in the vectoring angle range from 0° to 6°. Under pressure loading, the elastomeric shear stress was negative, high at both sides, and low at the center of the cross-section, while the reinforcement hoop stress was compressive at the inner radius and tensile at the outer radius. The compressive stress was also high. The flexible joint exhibited higher stress level with altered stress distribution when subjected to additional vector loading. Existing empirical formulas for reinforcement hoop compressive stress were determined to be not applicable to the miniature flexible joint, which significantly overestimated the stress caused by pressure and underestimated the stress caused by vectoring.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L H Caveny et al. Solid rocket enabling technologies and milestones in the United States, Journal of Propulsion and Power, 19 (6) (2003) 1038–1066.

    Article  Google Scholar 

  2. K E Olsen, J J Walsh and E L Thomas, Navy Terrier LEAP third-stage propulsion, AIAA Missile Sciences Conference, Monterey, California, USA (1994).

    Google Scholar 

  3. G Uhrig and C Roussille, Design drivers and technologies for solid propulsion of interceptors, 1st AAAF International Conference on Missile Defense, Arcachon, France (2003).

    Google Scholar 

  4. H Sherard, Development of advanced flex joint technology, AIAA/SAE 9th Propulsion Conference, Las Vegas, Nevada, USA (1973) 73–1262.

    Google Scholar 

  5. A R Canfield, E E Anderson and G E Nichols, Space shuttle nozzle development, AIAA/SAE 14th Propulsion Conference, Las Vegas, Nevada, USA (1978) 78–951.

    Google Scholar 

  6. Anon, Solid rocket thrust vector control, NASA SP-8114, USA (1974).

    Google Scholar 

  7. R F H Woodberry, Flexible joint for thrust vector control, AIAA/SAE 11th Propulsion Conference, Las Vegas, Nevada, USA (1975) 75–1221.

    Google Scholar 

  8. G Singh and G V Rao, New design formulas for a flex-bearing joint, Journal of Spacecraft and Rockets, 30 (6) (1993) 779–780.

    Article  Google Scholar 

  9. W Prins, S Meyer and P Cox, Advanced solid rocket motor nozzle thrust vector control flexseal development status. AIAA/SAE/ASME/ASEE 28th Joint Propulsion Conference, Nashville, Tennessee, USA (1992) 92–3553.

    Google Scholar 

  10. M Berdoyes and M Calabro, The French deterrent force SRMs: genesis of flexseals, AIAA/SAE/ASME/ASEE 28th Joint Propulsion Conference, Hartford, Connecticut, USA (2008) 2008–5270.

    Google Scholar 

  11. E Gautronneau et al., P80 nozzle low cost technologies, 57th International Astronautical Congress, Valencia, Spain (2006) IAC-06-C4.2.5.

    Google Scholar 

  12. C W Cao et al., Structural analysis on solid rocket motor flexible joint, Journal of Propulsion Technology, 27 (5) (2006) 450–454 [in Chinese].

    Google Scholar 

  13. C G Wang et al., Numerical analysis of deflection torque of flexible joint with high pressure, Journal of Propulsion Technology, 32 (2) (2011) 202–206 [in Chinese].

    Google Scholar 

  14. X K Wang, C G Wang and H B Shi, Compression-shearcombined loading experiment studies and numerical analysis of flexible joint elastomer, Journal of Solid Rocket Technology, 34 (3) (2011) 364–368 [in Chinese].

    Google Scholar 

  15. A H Zhang et al., Nonlinear analysis on flexible joint with non-uniform elastomer, Journal of Solid Rocket Technology, 31 (5) (2008) 521–526 [in Chinese].

    Google Scholar 

  16. M C Boyce and E M Arruda, Constitutive models of rubber elasticity: a review, Rubber Chemistry and Technology, 73 (3) (2000) 504–552.

    Article  Google Scholar 

  17. R S Rivlin, Large elastic deformation of isotropic materials: I. Fundamental concepts, II. Some uniqueness theories for pure homogeneous deformations, Ser A-240, Philos. Trans. R. Soc., London, UK (1948) 459–508.

    Google Scholar 

  18. J Ciamebella, Experimental testing and nonlinear viscoelastic modeling of filled rubber, PhD thesis, Sapienza University of Rome, Italy (2010).

    Google Scholar 

  19. O C Zienkiewicz and R L Taylor, The finite element method, Vol 2: Solid mechanics, 5th Ed. Butterworth-Heinemann, London, UK (2000).

    Google Scholar 

  20. ANSYS Inc. Release 11.0 documentation for ANSYS, Chap. 15 (2007).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Junxue Ren.

Additional information

Recommended by Associate Editor Seong Beom Lee

Junxue Ren obtained doctorate from the School of Astronautics, Beihang University in 2007. He is a lecturer in the same institution. His research areas are rocket propulsion and electrical propulsion.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ren, J., Zhang, X., Yang, J. et al. Structural analysis and testing of a miniature flexible joint under pressure and vector loading. J Mech Sci Technol 28, 3637–3643 (2014). https://doi.org/10.1007/s12206-014-0825-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-014-0825-8

Keywords

Navigation