OPTIMIZATION OF CORRUGATION PATTERN ON CORRUGATED SHELLS

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  • 波板シェルの波目の最適化
  • Part 2: Minimization of strain energy and maximization of linear buckling load
  • その2 歪エネルギーの最小化と線形座屈荷重の最大化

Abstract

<p>This paper proposed an optimization technique to including buckling obtain the optimal wave directions and wave heights of corrugated shells. The finite element method is applied to the structural analysis of the corrugated shells. Rhinoceros and Grasshopper are used for modeling and optimization of the analytical model. The constituted law of an anisotropic flat plate is used for the material of the shell element to achieve the same effective stiffness as the corrugated plate. The objective functions are the strain energy under self-weight and the buckling load coefficient from linear buckling analysis. The wave direction is defined by the contour direction of a NURBS surface in Rhinoceros, the wave height is given by the z coordinate of another NURBS surface. The design variables are the control points of the NURBS surface. A genetic algorithm plug-in on Grasshopper is used for optimization. The optimal solutions for a cylinder shell and an EP shell are shown as numerical examples. The optimal wave directions and heights with low strain energy and high buckling load coefficient were obtained, thus confirming the effectiveness of the proposed method.</p>

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