TANGENT GEOMETORICAL STIFFNESS OF IS0TONIC CUEVED SURFACE

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Publication year 1994
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Title TANGENT GEOMETORICAL STIFFNESS OF IS0TONIC CUEVED SURFACE
Author Hiroyuki OBIYA,Ru REI,Katsushi IJIMA,Shigeo GOTO
Summary The form-finding is analyzed by the tangent stiffness method. Two expressions of geometrical stiffness of a soap film element are applied for the form-finding. One tangent geometrical stiffness of the triangle element is derived by the condition of constant element forces in side directions. The other is derived by the condition of a constant tensile density in the element. in both method�E�a node can be treated as having only one degree of freedom in normal direction on the form�E�because the form does not have any stiffness against nodal displacement on the soap film surface theoretically. Comparing the two methods with some computations�E�in either case�E�we can get rational solutions with satisfactory convergence.