マルチグリッド法と可変複合モデルを用いた強風を受けるシェル構造物の屋根形状最適化

概要

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Shape optimization of shell roofs subjected to strong wind is carried out to minimize the maximum vertical displacement. The three dimensional (3D) fluid flow analysis is performed to obtain highly precise dynamic wind load. To reduce the large computational cost of the 3D analysis, the multigrid method is employed to solve the pressure Poisson equation. The objective function of the optimization problem is expected to have strong nonlinearity. Employing Response Surface Model (RSM), the objective function is approximated as a smooth function so that computational cost of the optimization is reduced. Analyses for several experimental points are required to generate RSM. It is not practical to perform 3D analyses for all experimental points due to huge computational cost. Variable Complexity Model (VCM) is useful for generating RSM. VCM is the method combining a high-fidelity model and a low-fidelity model. As the method of generating RSM, two kinds of methods are employed; (1) VCM (2) 3D analyses for all the experimental points. Optimized shapes are obtained by both methods. Although the value of the objective function of (1) is slightly larger than that of (2), the computation for (1) is much faster than that for (2).
社団法人日本建築学会の論文
2009-02-28