DOI QR코드

DOI QR Code

Folding analysis of reversal arch by the tangent stiffness method

  • 발행 : 2001.02.25

초록

This paper presents the tangent stiffness method for 3-D geometrically nonlinear folding analysis of a reversal arch. Experimental tests are conducted to verify the numerical analysis. The tangent stiffness method can accurately evaluate the geometrical nonlinearity due to the element translating as a rigid body, and the method can exactly handle the large rotation of the element in space. The arch in the experiment is made from a thin flat bar, and it is found that the folding process of the arch may be captured exactly by the numerical analysis with a model consisting of only 18 elements with the same properties.

키워드

참고문헌

  1. Goto, S., Aramaki, G. and Ijima, K. (1991), "A study on tangent geometric stiffness without including inherent stiffness of element itself ", Journal of Structural Engineering, 37A, 315-328 (in Japanese).
  2. Goto, S., Ijima, K., Obiya, H. and Iguchi S. (1998), "Integrating methods of finite rotation and convergence of solutions for 3-D large deformational analysis", Proceedings of the Conference on Computational Engineering and Science, 3, 757-760 (in Japanese).
  3. Goto, Y., Hasegawa, A. and Nishino, F. (1983), "Accuracy of finite displacement analysis of plane flames", Proc. of JSCE, 331, 33-44 (in Japanese).
  4. Goto, Y., Watanabe, Y., Kasugai, T. and Matuura, S. (1991), "Deployable rings utilizing an elastic buckling phenomenon accompanying finite rotation in space", Proc. of JSCE, 428, 117-125 (in Japanese)
  5. Goto, Y., Watanabe, Y., Kasugai, T. and Obata, M. (1996), "Letter to the Editor", Int. J Solid Structures, 33(9), 1369-1370. https://doi.org/10.1016/0020-7683(95)00091-7
  6. Iguchi, S., Goto, S., Ijima, K. and Obiya, H. (1997), "Large deformation analysis of spatial folding by the tangent stiffness method", Proc. of ICCCBE, 1, 209-214.
  7. Iguchi, S., Goto, S., Ijima, K. and Obiya, H. (1999), "A study on folding problems of polygonal ring", Journal of Structural Engineering, 45A, 311-319 (in Japanese).
  8. Oran C. (1973), "Tangent stiffness in space frames", Journal of the Structural Division, ASCE, 99(ST6), 987- 1001.
  9. Pai, P.F. and Plazotto, A.N. (1996a), "Large deformation analysis of flexible beams", Int. J. Solids Structures, 33(9), 1335-1353. https://doi.org/10.1016/0020-7683(95)00090-9
  10. Pai, P.F. and Plazotto, A.N. (1996b), "Authors' Closure", Int. J. Solids Structures, 33(9), 1371-1373. https://doi.org/10.1016/0020-7683(96)90021-9

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