Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

An extremum method for bending-wrinkling predictions of inflated conical cantilever beam

  • Wang, Changguo (Center for Composite Materials, Harbin Institute of Technology) ;
  • Du, Zhenyong (Center for Composite Materials, Harbin Institute of Technology) ;
  • Tan, Huifeng (National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology)
  • Received : 2011.01.20
  • Accepted : 2013.03.06
  • Published : 2013.04.10
⟨ Previous Next ⟩

Abstract

An extremum method is presented to predict the wrinkling characteristics of the inflated cone in bending. The wrinkling factor is firstly defined so as to obtain the wrinkling condition. The initial wrinkling location is then determined by searching the maximum of the wrinkling factor. The critical wrinkling load is finally obtained by determining the ratio of the wrinkling moment versus the initial wrinkling location. The extremum method is proposed based on the assumption of membrane material of beam wall, and it is extended to consider beam wall with thin-shell material in the end. The nondimensional analyses show that the initial wrinkling location is closely related to the taper ratio. When the taper ratio is higher than the critical value, the initial wrinkles will be initiated at a different location. The nondimensional critical wrinkling load nonlinearly increases as the taper ratio increases firstly, and then linearly increases after the critical taper ratio. The critical taper ratio reflects the highest load-carrying efficiency of the inflated cone in bending, and it can be regarded as a measure to optimize the geometry of the inflated cone. The comparative analysis shows fairly good agreement between analytical and numerical results. Over the whole range of the comparison, the mean differences are lower than 3%. This gives confidence to use extremum method for bending-wrinkling analysis of inflated conical cantilever beam.

Keywords

References

  1. Comer, R.L. and Levy, S. (1963), "Deflections of an inflated circular-cylindrical cantilever beam", AIAA J., 1(7), 1652-1655. https://doi.org/10.2514/3.1873
  2. Hampel, J.W., Brown, G.J. and Sharpless, G.S. (1996), "High pressure inflatable structures incorporating highly oriented fibers", Proc. Twentieth Army Science Conference.
  3. Jenkins, C.H. (Ed.) (2001), "Gossamer spacecraft: membrane and inflatable structures technology for space applications", Vol. 191, Progress in Astronautics and Aeronautics, AIAA, Reston, VA, 1-46.
  4. Jenkins, C.H. (Ed.) (2006), "Recent advances in gossamer spacecraft: Chapter 3 Membrane wrinkling", Vol. 212, Progress in Astronautics and Aeronautics, AIAA, Reston, VA, 109-164.
  5. Main, J.A., Peterson, S.W. and Strauss, A.M. (1994), "Load-deflection behavior of space-based inflatable fabric beams", J. Aerosp. Eng., 2(7), 225-238.
  6. Norris, R.K. and Pulliam, W.J. (2009), "Historical perspective on inflatable wing structures", 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, May, Palm Springs, California, AIAA 2009-2145.
  7. Quigley, C.J., Cavallaro, P.V., Johnson, A.R. and Sadegh, A.M. (2003), "Advances in fabric and structural analyses of pressure inflated structures", Proc. IMECE'03 2003 ASME Int. Mechanical Engineering Congress, ASME International, New York, 19-25.
  8. Stein, M. and Hedgepeth, J.M. (1961), "Analysis of partly wrinkled membranes", NASA, Tech Note, D-813.
  9. Thomas, J.C. and Wielgosz, C. (2004), "Deflections of highly inflated fabric tube", Thin Wall Struct., 42(7), 1049-1066. https://doi.org/10.1016/j.tws.2004.03.007
  10. Veldman. S.L. (2003), "Load analysis of inflatable truncated cones", 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, April, Norfolk, Virginia, AIAA 2003-1827.
  11. Veldman, S.L., Bergsma, O.K. and Beukers, A. (2005), "Bending of anisotropic inflated cylindrical beams", Thin Wall Struct., 43(3), 461-475. https://doi.org/10.1016/j.tws.2004.07.015
  12. Veldman. S.L., Beukers, A. and Bergsma, O.K. (2006a), "Wrinkling prediction of cylindrical and conical inflated cantilever beams under torsion and bending", Thin Wall Struct., 44(2), 211-215. https://doi.org/10.1016/j.tws.2006.01.003
  13. Veldman, S.L. and Bergsma, O.K. (2006b), "Analysis of inflated conical cantilever beams in bending", AIAA J., 44(6), 1345-1349. https://doi.org/10.2514/1.16372
  14. Wang, C.G., Tan, H.F., Wan, Z.M. and BAIER, H. (2009a), "A new model for bending-wrinkling analysis of membrane inflated beam", International Conference on Textile Composites and Inflatable Structures, Structural Membarnes, Stuttgart, October.
  15. Wang, C.G., Du, X.W. and Wan, Z.M. (2006), "Numerical simulation of wrinkles in space inflatable structures", J. Spacecr. Rockets, 43(5), 1146-1149. https://doi.org/10.2514/1.22885
  16. Wang, C.G., Tan, H.F., Du, X.W. and Wan, Z.M. (2007), "Wrinkling prediction of rectangular shellmembrane under transverse in-plane displacement", Int. J. Solids Struct., 44(20), 6507-6516. https://doi.org/10.1016/j.ijsolstr.2007.02.036
  17. Wang, C.G., Du, X.W., Tan, H.F. and He, X.D. (2009b), "A new computational method for wrinkling analysis of gossamer space structures", Int. J. Solids Struct., 46(6), 1516-1526. https://doi.org/10.1016/j.ijsolstr.2008.11.018
  18. Wang, C.G., Du, X.W. and He, X.D. (2008), "Wrinkling analysis of space inflatable membrane structures", Chin. J. Theor. Appl. Mech., 40(3), 331-337.
  19. Wang, C.G., Du, X.W. and He, X.D. (2009c), "Bending-wrinkling behavior analysis for inflatable membrane boom", Eng. Mech., 26(2), 210-215.
  20. Wood, J.D. (1958), "The flexure of a uniformly pressurized, circular, cylindrical shell", J. Appl. Mech., 25(12), 453-461.
  21. Wielgosz, C. and Thomas, J.C. (2002), "Deflections of inflatable fabric panels at high pressure", Thin Wall Struct., 40(6), 523-536. https://doi.org/10.1016/S0263-8231(02)00010-1
  22. Zender, G.W. (1962), "The bending strength of pressurized cylinders", J. Aerosp. Sci., 29(3), 362-365. https://doi.org/10.2514/8.9443

Cited by

  1. Bending wrinkling and kink behaviors of inflated beam under local uniform loadings vol.120, 2017, https://doi.org/10.1016/j.ijmecsci.2016.11.026