NUMERICAL ANALYSIS OF EQUALLY STRESSED SURFACE

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Publication year 1989
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Title NUMERICAL ANALYSIS OF EQUALLY STRESSED SURFACE
Author Toshio SUZUKI,Yasuhiko HANGAI
Summary The paper presents an numerical analysis of equally stressed surface for membrane structure. First, the basic three differential equations are derived from the equilibrium condition of minute parts. Next. the functional for equally stressed surface are defined by using this equations. and it is proved that the present functional is coincident with the functional for minimal surface without item of tension stress. The formulation of solution for the present differential equations can be assumed to be the solution having one unknown variable. We applied the finite element method by using triangular element in numerical examples. This method has the following characteristics.
1. The more smoothly surface by using the present method than the surface resulted by other methods can be obtained.
2. The unknown is one variable per uni grid
3. The covergent solution can be securely obtained without a special manipulation
4. The more numbers of element division are. the more accuracy increase.