並列タイトル等A Correlation Study of Methods of Post-Buckling Analysis of Square Plates
タイトル（掲載誌）航空宇宙技術研究所報告 = Technical Report of National Aerospace Laboratory TR-582
一般注記The post-buckling behaviour of flat square plates loaded along two opposite straight edges is analysed using three different methods;Galerkin’s method for von Karman equations; the conventional finite element method; and the finite element-Ritz method. In the Galerkin’s method, up to sixteen terms of trigonometric series are used to investigate the convergence characteristics. The solution to three terms approximation, which is generally used in analytical solutions, is valid under a load which is less than two or three times the primary buckling load. The range of the load depends on the boundary conditions of in-plane displacements at unloaded edges. The solution, to four terms, is extremely improved and agrees with the converged solution in the range of six times the buckling load for an in-plane boundary condition of no distortion. In the higher load range, secondary buckling takes place. Solution to four terms is considerably different from solution to nine terms and sixteen terms, which is regarded as a converged solution. The solutions by finite element methods are compared with the converged solution by Galerkin’s method. Good agreement was obtained in the case of complete Newton-Raphson iteration using total displacements. However, in the case of first order self-correcting algorithms associated with the incremental method, finite element solutions slightly deviated from the converged solution.
資料番号: NALTR0582000
レポート番号: NAL TR-582
連携機関・データベース国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
提供元機関・データベース宇宙航空研究開発機構 : 宇宙航空研究開発機構リポジトリ