複数の部材座屈と極限点が重複するアーチ状トラスの最悪不整

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  • WORST IMPERFECTION OF AN ARCH-TYPE TRUSS WITH MULTIPLE MEMBER BUCKLING AT LIMIT POINT
  • フクスウ ノ ブザイザクツ ト キョクゲンテン ガ チョウフク スル アーチジョウ トラス ノ サイアク フセイ

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Imperfection sensitivity properties are investigated for an arch that has multiple member buckling at a limit point, which is classified as hilltop branching with multiple symmetric bifurcation points. The critical loads of imperfect structures are shown to be governed by a piecewise linear law of the imperfection parameter. Antioptimization problems are formulated to obtain the worst imperfection mode that most drastically reduces the critical load. A formula for the worst nodal imperfection as a linear combination of the critical modes is also presented. The validity of the formula is ensured by path-following analysis of arches with randomly generated imperfections.

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