4136 NURBS曲線を用いた膜面リンクル最小化形状設計(S76-1 宇宙構造・材料(1),S76 宇宙構造・材料)

概要

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This study concerns a shape optimum design to minimize wrinkle strength of a membrane under an area constraint. The membrane shape is modeled by non-uniform rational B-spline (NURBS) curves and the curve-passing points are adopted as design variables. The membrane wrinkle strength is evaluated through wrinkle-mode deformation energy proposed by one of the authors. The optimization problem is formulated as minimizing the wrinkle strength under the membrane area constraint that represents the thrust requirement of a solar sail and is solved by sequential quadratic programming method. As a numerical example, a typical square membrane design problem is presented to demonstrate the effect of the shape optimization on the wrinkle reduction. The wrinkle stregth decreases to 6% of the original design for only 10% reduction of the membrane area.
社団法人日本機械学会の論文
2007-09-07