中厚及薄板杂交模型的优化列式<sup>*</sup>

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

中厚及薄板杂交模型的优化列式^*

基金项目: * 国家自然科学基金资助项目

摘要: 文章把杂交元的优化设计原理应用于中厚及薄板问题,导出新的杂交应力4节点20自由度板弯曲单元.该元对各种厚度、形状板的通用性,收敛性以及对极薄板分析的适应性也一并作了考察和讨论.

Abstract: A 20-DOF hybrid stress element based upon Mindlin plate theory is developed using the optimization design method for thin and moderately thick plates.Numerical tests consist of the convergency and performance to the plates with arbitrary thickness and shape and of the ultimate thin plate problems.

[1]	Pian,T.H.H.and D.P.Chen,Alternative ways for formulation of hybrid stress elements,Int.J.Num.Meth.Eng,18(1982),1679-1684.
[2]	Pian,T.H.H.,D.P.Chen and David Kang,A new formulation of hybrid/mixed finite element.Computers and Structures,16(1983),81-87.
[3]	Pian,T.H.H.and K.Sumihara,Rational approach for assumed stress finite elements,Int.J.Num.Meth.Lng.,20(1984).1685-1695.
[4]	吴长春、狄生林、黄茂光,杂交元的优化设计,科学通报,15(1986).
[5]	吴长春、狄生林、卞学错,轴对称杂交应力元的优化设计,航空学报,8,9(1987).
[6]	胡海昌,《弹性力学变分原理及其应用》,科学出版社(1981).
[7]	Wu Chang-chun.Some problems of plate bending hybrid model with shear effect.Int.J.Num,Meth.Eng.,18(1982),755-764.
[8]	Zienkiewicz,O.C.,et al.,Reduced integration technique in general analysis of plates and shells,Int.J.Num.Meth.Eng.,3(1971),575-586.
[9]	Crisfield.M.A.,A quadratic Mindlin element using shear constraints,Computers and Structures,18(1984),833-852.
[10]	Spilker.R.L.,et al.,The hybrid stress model for thin plates,Int.J.Num.Meth.Eng.,15(1980),1239-1260.
[11]	Pian,T.H.H.and Wu Chang-chun.Recent advances in hybrid stress finite element.Int.J.Num.Meth.Eng.,26(1988),2331-2343.
[12]	吴长春,离散系统的非协调原理及多变量方法,杂交元的优化理论与实践,中国科学技术大学博士论文(1987,5).