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Tensioned Fabric Structures with Surface in the Form of Chen-Gackstatter and Monkey Saddle

Hooi Min Yee and Mohd Nasir Abdul Hadi
Faculty of Civil Engineering, Universiti Teknologi MARA, 13500 Permatang Pauh, Pulau Pinang, Malaysia

Abstract—Form-finding has to be carried out for tensioned fabric structure in order to determine the initial equilibrium shape under prescribed support condition and pre-stress pattern. Tensioned fabric structures are normally designed to be in the form of equal tensioned surface. Tensioned fabric structure is highly suited to be used for realizing surfaces of complex or new forms. However, research study on a new form as a tensioned fabric structure has not attracted much attention. Another source of inspiration minimal surface which could be adopted as form for tensioned fabric structure is very crucial. The aim of this study is to propose initial equilibrium shape of tensioned fabric structures in the form of Chen-Gackstatter and Monkey Saddle. Computational form-finding using nonlinear analysis method is used to determine the Chen-Gackstatter and Monkey Saddle form of uniformly stressed surfaces. A tensioned fabric structure must curve equally in opposite directions to give the resulting surface a three dimensional stability. In an anticlastic doubly curved surface, the sum of all positive and all negative curvatures is zero. This study provides an alternative choice for structural designer to consider the Chen-Gackstatter and Monkey Saddle applied in tensioned fabric structures. The results on factors affecting initial equilibrium shape can serve as a reference for proper selection of surface parameter for achieving a structurally viable surface.
 
Index Terms—form-finding, tensioned fabric structure, initial equilibrium shape, chen-gackstatter and monkey saddle

Cite: Hooi Min Yee and Mohd Nasir Abdul Hadi, "Tensioned Fabric Structures with Surface in the Form of Chen-Gackstatter and Monkey Saddle," International Journal of Structural and Civil Engineering Research, Vol. 4, No. 4, pp. 331-335, November 2015. doi: 10.18178/ijscer.4.4.331-335