DOI QR코드

DOI QR Code

Geodesic shape finding of membrane structure with geodesic string by the dynamic relaxation method

  • Lee, K.S. (Department of Architectural Engineering, School of Architecture, Inha University) ;
  • Han, S.E. (Department of Architectural Engineering, School of Architecture, Inha University)
  • 투고 : 2010.08.13
  • 심사 : 2011.03.09
  • 발행 : 2011.07.10

초록

The explicit nonlinear dynamic relaxation method (DRM) is applied to the nonlinear geodesic shape finding analysis by introducing fictional tensioned 'strings' along the desired seams with a three or four-node membrane element. A number of results from the numerical example for the nonlinear geodesic shape finding and patterning analysis are obtained by the proposed method to demonstrate the accuracy and efficiency of the developed method. Therefore, the proposed geodesic shape finding algorithm may improve the applicability of a four-node membrane element to membrane structural engineering and design analysis simultaneously for the shape finding, stress, and patterning analysis.

키워드

참고문헌

  1. Barnes, M.R. (1988), "Form-finding and analysis of prestressed nets and membranes", Comput. Struct., 30(3), 685-695. https://doi.org/10.1016/0045-7949(88)90304-5
  2. Brew, J.S. and Lewis, W.J. (2003), "Computational form-finding of tension membrane structures-Non-finite element approaches: Part 1. Use of cubic splines in finding minimal surface membranes", Int. J. Numer. Meth. Eng., 56, 651-668. https://doi.org/10.1002/nme.579
  3. Cundall, P.A. (1976), Explicit Finite-difference Methods in Geomechanics, Blacksburg.
  4. Day, A.S. (1960), An Introduction to Dynamic Relaxation, The Engineer.
  5. Gosling, P.D. and Lewis, W.J. (1996), "Optimal structural membranes-II. Form-finding of prestressed membranes using a curved quadrileteral finite element for surface definition", Comput. Struct., 61(5), 885-895. https://doi.org/10.1016/0045-7949(96)00091-0
  6. Grundig, L. and Bahndorf, J. (1988), "The design of wide-span roof structures using micro-computers", Comput. Struct., 30(3), 495-501. https://doi.org/10.1016/0045-7949(88)90282-9
  7. Grundig, L., Ekert, L. and Moncrieff, E. (1996), "Geodesic and semi-geodesic line algorithms for cutting pattern generation of architectural texile structures", Proceedings of the Asia-Pacific Conference on Shell and Spatial Structures, Beijing, China.
  8. Hallquist, J.O. (1998), LS-DYNA Theoretical Manual, Livermore Software Technology Corporation.
  9. Han, S.E. and Lee, K.S. (2003), "A study of the stabilizing process of unstable structures by dynamic relaxation method", Comput. Struct., 81, 1677-1688. https://doi.org/10.1016/S0045-7949(03)00187-1
  10. Ishii, K. (1972), "On developing of curved surfaces of pneumatic structures", Proceedings of the IASS International National Symposium on Pneumatic Structures, Deft, The Netherlands.
  11. Ishii, K. (1989), "State of the art report on form finding problem of membrane structures", Research Report on Membrane Structures '89, The Membrane Structures Association of Japan, 3, 83-108.
  12. Ishii, K. (1990), "State of the art report on the stress deformation analysis of membrane structures", Research Report on Membrane Structures '90, The Membrane Structures Association of Japan, 4, 69-105.
  13. Kadkhodayan, M., Zhang, C. and Sowerby, R. (1997), "Analysis of wrinkling and buckling of elastic plates by DXDR method", Comput. Struct., 65(4), 561-574. https://doi.org/10.1016/S0045-7949(96)00368-9
  14. Levy, R. and Spillers, W.R. (2003), Analysis of Geometrically Nonlinear Structures, Second Edition, Kluwer Academic Publishers.
  15. Linkwitz, K. (1999), "About formfinding of double-curved structures", Eng. Struct., 21, 709-718. https://doi.org/10.1016/S0141-0296(98)00025-X
  16. Lewis, W.J. (1989), "The efficiency of numerical methods for the analysis of prestressed nets and pin-jointed frame structures", Comput. Struct., 33(3), 791-800. https://doi.org/10.1016/0045-7949(89)90254-X
  17. Moncrieff, E. and Topping, B.H.V. (1990), "Computer methods for the generation of membrane cutting patterns, Comput. Struct., 37(4), 441-450. https://doi.org/10.1016/0045-7949(90)90034-Y
  18. Ong, C.F., Wakefield, D.S. and Barnes, M.R. (1991), "Interactive graphic cad for tension structures", Comput. Struct., 41(6), 1305-1312. https://doi.org/10.1016/0045-7949(91)90267-P
  19. Pasqualino, I.P. and Estefen, S.F. (2001), A nonlinear analysis of the buckle propagation problem in deepwater pipelines", Int. J. Solids Struct., 38, 8481-8502. https://doi.org/10.1016/S0020-7683(01)00113-5
  20. Sheck, H.J. (1974), "The force density method for form finding and computation of general networks", Comput. Meth. Appl. Mech. Eng., 3, 704-713.
  21. Papadrakakis, M. (1981), "Post buckling analysis of spatial structures by vector iteration methods", Comput. Struct., 14, 393-402. https://doi.org/10.1016/0045-7949(81)90059-6
  22. Ramesh, G. and Krishnamoorthy, C.S. (1993), "Post-buckling analysis of structures by dynamic relaxation, Int. J. Numer. Meth. Eng., 36(8), 1339-1364. https://doi.org/10.1002/nme.1620360806
  23. Rezaiee-pajand, M. and Alamatian, J. (2010), "The dynamic relaxation method using new formulation for fictitious mass and damping", Struct. Eng. Mech., 34(1), 109-133. https://doi.org/10.12989/sem.2010.34.1.109
  24. Salehi, M. and Aghaei, H. (2005), "Dynamic relaxation large deflection analysis of non-axisymmetric circular viscoelastic plates", Comput. Struct., 83, 1878-1890. https://doi.org/10.1016/j.compstruc.2005.02.023
  25. Topping, B.H.V., Khan, A.I. and Wilson, J.K. (1994), Parallel Dynamic Relaxation and Domain Decomposition, in Advances in Parallel and Vector Processing for Structural Mechanics, (Eds. B.H.V. Topping and M. Papadrakakis), Civil-Comp Press.
  26. Topping, B.H.V. and Khan, A.I. (1996), Parallel Finite Element Computations, Saxe-Coburg Publications.
  27. Topping, B.H.V. and Iványi, P. (2007), Computer Aided Design of Cable-membrane Structures, Saxe-Coburg Publications.
  28. Wakefield, D.S. (1999), "Engineering analysis of tension structures: theory and practice", Eng. Struct., 21, 680- 690. https://doi.org/10.1016/S0141-0296(98)00023-6
  29. Wood, R.D. (2002), "A simple technique for controlling element distortion in dynamic relaxation form-finding of tension membranes", Comput. Struct., 80, 2115-2120. https://doi.org/10.1016/S0045-7949(02)00274-2
  30. Zhang, W., Hisada, T. and Nuguchi, H. (2000), "Post buckling analysis of shell and membrane structures by dynamic relaxation method", Comput. Mech., 26, 267-272. https://doi.org/10.1007/s004660000171

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