矩形板在横向压力和面内压缩共同作用下的后屈曲
Postbuckling of Rectangular Plates under Uniaxlal Compression Combined with Lateral Pressure
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摘要: 本文从Kármán板大挠度方程出发,先用Galerkin法将横向载荷作用转化为初挠度影响,然后以挠度为摄动参数,采用直接摄动法研究简支矩形板在横向载荷与面内压缩共同作用下的后屈曲性态.本文讨论了两种面内边界条件,同时计及板初始几何缺陷的影响.计算结果与实验结果的比较表明二者是一致的.Abstract: Based on the nonlinear large deflection equations of von Kármán plates, the lateral pressure is first converted into an initial deflection by Galerkin method, the postbuckling behavior of simply supported rectangular plates under uniaxial compression combined with lateral pressure is then studied applying perturbation method by taking deflection as perturbation parameter.Two types of in-plane boundary conditions and the effects of initial geometric imperfection are also considered. It is found that the theoretical results are in good accordance with experiments.
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[1] Bengtson,H.W.,Ship plating under compression and hydrostatic pressure,Tran.SNAME,47(1939),80-116. [2] Levy,S.,D.Goldenberg,and G.Zibritosky,Simply supported long rectangular plates under combined axial load and normal pressure,NACA,TN-949,Oct.(1944). [3] Yosiki,M.,Y.Yamamoto,and H.Kondo,Buckling of plates subjected to edge thrusts and lateral pressure,J.Soc.Naval Architects of Japan,118(1965),249-258. [4] Yamamoto,Y.,N.Matsubara and T.Murakami,Buckling of plates subjected to edge thrusts and lateral pressure,J.Soc.Naval Architects of Japan,127(1970),171-179. [5] Supple,W.T.,Buckling of plates under axial load and lateral pressure,Proc.Int.Conf.on Thin-Walled Structures,University of Strathclyde Glasgow(1979). [6] 沈惠申、张建武,单向压缩简支矩形板后屈曲摄动分析,应用数学和力学,9,8 (1988),741-752. -
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