Shen Hui-shen. Postbuckling of Rectangular Plates under Uniaxlal Compression Combined with Lateral Pressure[J]. Applied Mathematics and Mechanics, 1989, 10(1): 51-58.
 Citation: Shen Hui-shen. Postbuckling of Rectangular Plates under Uniaxlal Compression Combined with Lateral Pressure[J]. Applied Mathematics and Mechanics, 1989, 10(1): 51-58.

# Postbuckling of Rectangular Plates under Uniaxlal Compression Combined with Lateral Pressure

• Publish Date: 1989-01-15
• 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.
•  [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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