Large Deformation of Circular Membrane Under the Concentrated Force
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摘要: 利用圆薄膜在中心集中力作用下大变形的基本方程、边界条件和Hercky变换,求解了非线性边值问题,推广了Hencky变换,得到了集中力作用下圆薄膜大变形问题的精确解.Abstract: 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.
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Key words:
- circular membrane /
- concentrated force /
- large deformation /
- precise solution
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[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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