NUHERICAL ANALYSIS OF DIFFERENTLY STRESSED SURFACE

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Publication year 1990
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Title NUHERICAL ANALYSIS OF DIFFERENTLY STRESSED SURFACE
Author Toshio SUZUKI,Yasuhiko HANGAI
Summary The paper presents an numerical analysis of surfaces stressed by different tensions in the two direction for membrane structure. The basic differential equations with three unknown coordinate functions are derived from the equilibrium condition of infinitesimal element. The variational equation for surface stressed by different tensions in the two direction are defined by using these equations. The solution of the present differential equations is formulated to be the solution having one unknown variable which denotes the length in the given direction from the initial surface to the unknown surface to be determinated. We used Rayleigh-Ritz method and finite element method to the numerical analysis´╝î and the surface of catenoid and hyperbolic paraboloid are numerically analyzed.