摄动方法在薄板弯曲问题中的某些应用
Some Applications of Perturbation Method in Thin Plate Bending Problems
-
摘要: 本文应用摄动方法研究了薄板在侧向载荷和中面力的联合作用下的弯曲问题.Abstract: In this paper,problems of bending of thin plates under the combined action of lateral loading and in-plane forces are studied by means of perturbation method.
-
[1] Chien Wei-zang(钱伟长),Yeh Kai-yuan(叶开沅),On the large deflection of circular plate,Acta Scientia Sinica,3,(4) (1954),403-436. [2] Yeh Kai-yuan(叶开沅),Large deflection of a circular plate with a circular hole at the centre.Acta Scientia Sinica,2(2) (1953),127-144. [3] Bromberg,E.,Nonlinear bending of a circular plate under normal pressure Commpure Appl.Math.,9,(1956),693-659. [4] Голъденвеизер,А.А.,Линейная теория упручих тонких оболочек.УМН.15,(5)(1960),3-75. [5] Rutten,H.S.,Theory and design of shells on the basis of asymptotic analysis.Rutten,Kruisman,Consulting engineers,Holland.(1973). [6] Alzheimer,W.E.and Davis,R.T.,Unsymmetrical bending of prestressed annular plates.J.Eng.Mech.Div.Proc.ASCE,4(1968).905-917. [7] 铁摩辛柯,S,,沃诺斯基.S.,板壳理论,科学出版社,(1977),405-921. [8] 江福汝,关于椭圆型方程的奇摄动,复旦学报(自然科学版)2(1978),29-37. [9] Besjes,J.G.,Singular perturbation problems for linear ellipitic differential operators of arbitrary order J.Math,and Appl,49,(1975),24-41. [10] 江福汝,高汝熹,高阶椭圆型方程一般边值问题的奇摄动.(即将发表) [11] Nayfeh,A.H.,Perturbation Methods.John Wiley & Sons,New York.London Sydney Toronto,(1973).
点击查看大图
计量
- 文章访问数: 1634
- HTML全文浏览量: 57
- PDF下载量: 690
- 被引次数: 0