Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Equilibrium shape analysis of single layer structure by measure potential function

  • Ijima, Katsushi (Department of Civil Engineering, Saga University) ;
  • Xi, Wei (Department of Civil Engineering, Saga University) ;
  • Goto, Shigeo (Department of Civil Engineering, Saga University)
  • Published : 1997.11.25
⟨ Previous Next ⟩

Abstract

A unified theory is presented for the shape analysis of curved surface with a single layer structure composed by frame, membrane or shell. The shapes produced by the theory have no shear stress in elements, and the stress states in the whole shape are as uniform as possible under an ordinary load. The theory starts from defining an element potential function expressed by the measurement of the element length or the element area. Therefore, the shape analysis can produce various forms according to the definition of the potential function, and each of those form or the cable net form with the potential function of the second power of element length is simply gotten by the linear analysis. The form in tensile stress is mechanically equal to an isotropic tension form.

Keywords

References

  1. Barnes, M.R. (1976), "Interactive graphical design of tension surface structures", Proc. of Symposium of Weitgespannte Flachentragwerke, Stuttgart, Germany, April.
  2. Goto, S. (1983), "A formulation of tangent geometric stiffness for space structure", J. of the Japan Society of Civil Engineering, 335, 1-12.
  3. Haug, E. and Powell, G.H. (1971), "Finite element analysis of nonlinear membrane structures", Proc. of IASS Pacific Symposium on Tension Structures and Space Frames, Tokyo, Oct.
  4. Ijima, K., Obiya, H., Goto, S. and Medved, G. (1995), "Stable forms of single layer latticed dome and its geometrically nonlinear analysis", International Colloquium on Stability of Steel Structure, Budapest, Sept., II/67-II/74.
  5. Ishii, K. (1976), "Analytical shape determination for membrane structures", Proc. of IASS Congress on Space Enclosures, Montreal, Canada, July.
  6. Ishii, K. (1977), Pneumatic Membrane Structure, Design and Application, Kogyochousakai.
  7. Isler, H. (1993), "Generating shell shapes by physical experiments", Bulletin of IASS, 34, 53-63.
  8. Ohmori, H., Hagiwara, N., Matsui, T. and Matsuoka, O. (1988), "Nonlinear asnalysis of minimal surface by finite element method", J. of Membrane Structures, 2, 1-10.
  9. Otto, F. (1960), Tensile Structures, 1, 2, NIT Press.
  10. Otto, F. and the Others (1982), Naturliche Konstruktionen, Deutsche Verlags-Anstatt GmbH, Stuttgart.