CHEN Shan-lin, ZHENG Zhou-lian. Large Deformation of Circular Membrane Under the Concentrated Force[J]. Applied Mathematics and Mechanics, 2003, 24(1): 25-28.
 Citation: CHEN Shan-lin, ZHENG Zhou-lian. Large Deformation of Circular Membrane Under the Concentrated Force[J]. Applied Mathematics and Mechanics, 2003, 24(1): 25-28.

# Large Deformation of Circular Membrane Under the Concentrated Force

• Received Date: 2001-08-28
• Rev Recd Date: 2002-09-18
• Publish Date: 2003-01-15
• Making use of basic equation of large deformation of circular membrane under the concetrated force and its boundary conditions and Hencky transformation, the problems of nonlinear boundary condition were solved. The Hencky transformation was extended and a precise solution of large deformation of circular membrane under the concentrated force has been obtained.
•  [1] Hencky H.Uber den spannungszustand in Kreisunden platten mit verschwindender Biegungssteifigkeit[J].Zeit F Math U Phyzik,1915,(63):311-317. [2] Алексеев C A.οльпеобразнаяупругаямембранаподдействuемпопереинойсчлы,приноженнойкжесткомуцентральнорасположенномудиску[A].ИнженерныйСборник[C] ,10,1951,71-80. [3] 钱伟长,王志忠,徐尹格,等.圆薄膜中心部分受均布载荷产生的对称变形[J].应用数学和力学,1981,2(6):599-612. [4] Sherbourne A N,lennox,WC.Elastic large deflections of annular membranes[J].J Engng Mech Divis,Proc ASCE,1966,92(EM2):75-99. [5] Kao R,Perrone N.Large deflections of axisymmetric circular membranes[J].Internat J Solids Structures,1971,(7)12:1601-1612. [6] Dadeppo A,Schmidt R.New analysis of an unprestretched annular membrane with restrained edges[J].J Indus Math Soc,1972,24(1):49-58.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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