变厚度簿板弯曲问题的任意网格差分解法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

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

摘要: 本文提出一种求解变厚度薄板弯曲问题的任意网格差分格式,可适应不同边界,各种荷载和复杂形状板.计算实例表明,该方法具有格式简单、通用性强、计算精度高,计算量少等特点.
- 有限差分法 /
- 变厚度薄板弯曲问题
Abstract: 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.
- finite difference method /
- bending of plates with variable thickness

[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).