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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.
A study on preventing the fall of skew and curved bridge decks by using rubber bearings
Ijima, Katsushi,Obiya, Hiroyuki,Aramaki, Gunji,Kawasaki, Noriaki Techno-Press 2001 Structural Engineering and Mechanics, An Int'l Jou Vol.12 No.4
The paper deals with preventing the collapse of by the means of supporting the bridges by rubber bearings and pedeck structures of skew and curved bridges during earthquakes, rmitting pounding between the decks and the abutments. Seismic response during pounding is characterized by various phenomena, such as the caging of bridge decks between abutments during an earthquake or decks popping out. These behaviors depend on only a small difference in seismic intensity. Regarding the global characteristics of a seismic response, smaller clearance between a deck and its abutments results in smaller impact damage of the abutments as well as lesser deformation of the rubber bearings. Similarly, smaller clearance between a deck and the side blocks results in smaller damage. The stiffnesses of the bearings and the stiffness ratio between them control the deck displacement. In short to medium length bridges, zero clearance between a deck and the abutments or the deck and the side blocks is the most effective way in preventing the deck from falling and limits the damage to the abutments or the side blocks.
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.