悬臂板侧屈中的几个问题
On Several Problems for Lateral Instability of Cantilever Plates
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摘要: 本文用能量法研究悬臂矩形板侧向屈曲中的几个问题.文中分别讨论了有集中力,均布荷载,三角形分布荷载及集中力偶作用之下悬臂矩形板发生侧向屈曲时的最小临界荷载.Abstract: The present article researches several problems about the lateral instability,of cantilever plates by means of the energy method,in which we discuss the minimum critical load of cantilever rectangular plates under a concentrated force,a uniformly distributed load,a distributed load in triangular form and a concentrated couple,respectively,when the lateral buckling takes place.
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[1] Timoshenko,S.,Theory of Elastic Stability(1936). [2] Chajes,L.,Principles of Structural Stability Theory,Prentice-Hall,Inc.(1974). [3] Galambos,T.V.,Inelastic lateral buckling of beams,Jour.of Struct.Divis.,ASCE,89,ST5(1963). [4] Rayleigh,J.W.S.,Theory of Sound,Macmillan and Co.,Ltd,,London(1877). [5] Ritz,W,,Über eine neue Methode zur Lösung gewisser Variationsprobleme der Mathematischen Physik,Jour,fur die rein and angewandte Mothemotik,135(1908),1-61. -
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