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Pseudo-beam method for compressive buckling characteristics analysis of space inflatable load-carrying structures

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Abstract

This paper extends Le van’s work to the case of nonlinear problem and the complicated configuration. The wrinkling stress distribution and the pressure effects are also included in our analysis. Pseudo-beam method is presented based on the inflatable beam theory to model the inflatable structures as a set of inflatable beam elements with a pre-stressed state. In this method, the discretized nonlinear equations are given based upon the virtual work principle with a 3-node Timoshenko’s beam model. Finite element simulation is performed by using a 3-node BEAM189 element incorporating ANSYS nonlinear program. The pressure effect is equivalent included in our method by modifying beam element cross-section parameters related to pressure. A benchmark example, the bending case of an inflatable cantilever beam, is performed to verify the accuracy of our proposed method. The comparisons reveal that the numerical results obtained with our method are close to open published analytical and membrane finite element results. The method is then used to evaluate the whole buckling and the load-carrying characteristics of an inflatable support frame subjected to a compression force. The wrinkling stress and region characteristics are also shown in the end. This method gives better convergence characteristics, and requires much less computation time. It is very effective to deal with the whole load-carrying ability analytical problems for large scale inflatable structures with complex configuration.

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References

  1. Comer R.L., Levy S.: Deflections of an inflated circular- cylindrical cantilever beam. AIAA J. 1(7), 1652–1655 (1963)

    Article  MATH  Google Scholar 

  2. Main J.A., Peterson S.W., Strauss A.M.: Load-deflection behavior of space-based inflatable fabric beams. J. Aerosp. Eng. 2(7), 225–238 (1994)

    Article  Google Scholar 

  3. Wielgosz C., Thomas J.C.: Deflections of inflatable fabric panels at high pressure. Thin-Walled Struct. 40, 523–536 (2002)

    Article  Google Scholar 

  4. Fichter W.B.: A theory for inflated thin-wall cylindrical beams. NASA Tech. Notes D-3466, 1–19 (1966)

    Google Scholar 

  5. Weeks G.E.: Buckling of a pressurized toroidal ring under uniform external loading. NASA TN D-4124, 1–22 (1967)

    Google Scholar 

  6. Thomas J.C., Wielgosz C.: Deflections of highly inflated fabric tube. Thin-Walled Struct. 42, 1049–1066 (2004)

    Article  Google Scholar 

  7. Le van A., Wielgosz C.: Bending and buckling of inflatable beams: some new theoretical results. Thin-Walled Struct. 43, 1166–1187 (2005)

    Article  Google Scholar 

  8. Miller R.K., Hedgepeth J.M. et al.: Finite element analysis of partly wrinkled membranes. Comp. Struct. 20(3), 631–639 (1985)

    Article  Google Scholar 

  9. Suhey J.D., Kim N.H., Niezrecki C.: Numerical modeling and design of inflatable structures—application to open-ocean-aquaculture cages. Aquac. Eng. 33, 285–303 (2005)

    Article  Google Scholar 

  10. Breivik, N.L., Watson, J.J., Ambur, D.R.: Buckling of long, thin inflatable cylinders loaded in axial compression. 44th AIAA/ASME/ASCE Structures, Structural Dynamics & Materials Conference, Norfolk, Virginia, 7–10 April (2003.) AIAA 2003-1841

  11. Veldman S.L.: Wrinkling prediction of cylindrical and conical inflated cantilever beams under torsion and bending. Thin-Walled Struct. 44, 211–215 (2006)

    Article  Google Scholar 

  12. Wong Y.W., Pellegrino S.: Wrinkled membranes. Part I: Experiments; Part II: Analytical models; Part III: Numerical simulations. J. Mech. Mater. Struct. 1, 1–93 (2006)

    Article  Google Scholar 

  13. Wang C.G., Du X.W., Wan Z.M.: Numerical simulation of wrinkles in space inflatable structures. J. Spacecr. Rockets 43(5), 1146–1149 (2006)

    Article  Google Scholar 

  14. Roh, J., Yoo, E., Lee, I., Han, J.: Large deformation analysis of inflated membrane boom structures with various slenderness ratios. 48th AIAA/ASME/ASCE Structures, Structural Dynamics & Materials Conference, Sheraton, Waikiki, Hawaii, 23–26 April (2007). AIAA 2007-1807

  15. Le van A., Wielgosz C.: Finite element formation for inflatable beams. Thin-Walled Struct. 45, 221–236 (2007)

    Article  Google Scholar 

  16. Davids W.G., Zhang H.: Beam finite element for nonlinear analysis of pressurized fabric beam-columns. Int. J. Eng. Struct. 30, 1969–1980 (2008)

    Article  Google Scholar 

  17. Davids W.G., Turkiyyan G.M.: Development of embedded bending member to model dowel action. Int. J. Struct. Eng. 123(10), 1312–1320 (1997)

    Article  Google Scholar 

  18. Wang C.G., Du X.W.: Wrinkle analysis of space membrane structures and applications. Int. J. Comput. Methods Eng. Sci. Mech. 8(3), 159–164 (2007)

    Article  MATH  Google Scholar 

  19. Wang C.G., Du X.W., Tan H.F., He X.D.: A new computational method for wrinkling analysis of gossamer space structures. Int. J. Solids Struct. 46(6), 1516–1526 (2009)

    Article  Google Scholar 

  20. Wang C.G., Tan H.F., Du X.W., Wan Z.M.: Wrinkling prediction of rectangular shell-membrane under transverse in-plane displacement. Int. J. Solids Struct. 44, 6507–6516 (2007)

    Article  MATH  Google Scholar 

  21. Wang C.G., Du X.W., He X.D.: Wrinkling analysis of space inflatable membrane structures. Chin. J. Theor. Appl. Mech. 40(3), 331–338 (2008) (in Chinese)

    Google Scholar 

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Correspondence to Changguo Wang.

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The project supported by the Specialized Fund for the Doctoral Program of Higher Education of China (200802131046); China Postdoctoral Science Foundation Funded Major Project (200801290); Development Program of Outstanding Young Teachers in Harbin Institute of Technology (HITQNJS.2008.004); Specialized Fund for Innovation Talents of Science and Technology in Harbin (2008RFQXG057).

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Wang, C., Tan, H. & Du, X. Pseudo-beam method for compressive buckling characteristics analysis of space inflatable load-carrying structures. Acta Mech Sin 25, 659–668 (2009). https://doi.org/10.1007/s10409-009-0254-6

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  • DOI: https://doi.org/10.1007/s10409-009-0254-6

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