Li Guang-yao, Zhou Han-bin. A Finite Difference Method at Arbitrary Meshes for the Bending of Plates with Variable Thickness[J]. Applied Mathematics and Mechanics, 1993, 14(3): 281-286.
Citation: Li Guang-yao, Zhou Han-bin. A Finite Difference Method at Arbitrary Meshes for the Bending of Plates with Variable Thickness[J]. Applied Mathematics and Mechanics, 1993, 14(3): 281-286.

A Finite Difference Method at Arbitrary Meshes for the Bending of Plates with Variable Thickness

  • Received Date: 1992-05-20
  • Publish Date: 1993-03-15
  • A finite difference method at arbitrary meshes for the bending of plates with variable thickness is presented in this paper.The method is completely general with respect to various boundary conditions,load cases and shapes of plates.This difference scheme is simple and the numerical results agree well with those obtained by other methods.
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  • [1]
    吴长春,受弯弹性薄板数值分析的新方法—离散算子法.中国科学,(4)(1975).
    [2]
    Liszha,T.and J.Qrkisz,The FDM at arbitrary irregular grids and its applications in applied mechanics,Compt.Struct.,11,(1980).
    [3]
    Lau,P.C.,Carvilinear FDM for biharmonic equations,Int.J.NME.,14(1979).
    [4]
    Buragohain,D.N.,and S.C.Patodi,Large deflection analysis of plates and shells by discrete energy method,Comput.Struct.,9(1978).
    [5]
    Pavlin,V.and N.Perone,Finite difference energy techniques for arbitrary meshes applied to linear plate problems,Int.J.NME.,14,5(1979).
    [6]
    Atkatsh,R.S.,and M.L.Baron,A finite difference variational method for bending of plates,Comput.Struct.,11,6(1980).
    [7]
    Barue,V.D.and S.S.Dey,Isoparametric difference energy method for plate bending problems,Comput.Struct.,17,3(1983).
    [8]
    刘晓明,多格式差分法及其在结构分析中的应用,河海大学博士论文(1988).
    [9]
    叶开沅、许剑云,非均匀变厚度弹性体力学若干问题的一般解,兰州大学学报(自然科学版),力学专号,(1)(1979).
    [10]
    叶开沅、王银邦,任意分布载荷下两对边简支单向非均匀变厚度矩形板的弯曲问题,应用数学和力学,7(10)(1986).
    [11]
    S.铁摩辛柯,S.沃诺斯基,《板壳理论》,科学出版社(1977).
    [12]
    范家让,变厚度矩形板,上海力学,3(1)(1982),
    [13]
    尹思明、阮圣磺,变厚度矩形薄板的线性和非线性理论的弹性平衡问题的Navier解,应用数学和力学,6(6)(1985).
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