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Equilibrium shape analysis of single layer structure by measure potential function
Ijima, Katsushi,Xi, Wei,Goto, Shigeo Techno-Press 1997 Structural Engineering and Mechanics, An Int'l Jou Vol.5 No.6
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.
Folding analysis of reversal arch by the tangent stiffness method
Iguchi, Shin-Ichi,Goto, Shigeo,Ijima, Katsushi,Obiya, Hiroyuki Techno-Press 2001 Structural Engineering and Mechanics, An Int'l Jou Vol.11 No.2
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.