摘要
本文基于Von—Karman型大挠度方程组,用Garlcrkin技术对周边转动弹性约束圆柱型正交各向异性圆板的后屈曲进行了分析,分析中以Lcgendrc多项式构成试函数。计算结果表明:以正交Legendre多项式为试函数,收敛快,精度高、与有限元法相比具有方法简单、工作最小、精度高等优点。有关结果可供设计圆板时参考。
In this paper, the post-buckling analysis of orthotropic cylindrically circular plates with edges elastically restrained against rotation is presented. The Galcrkin technique is used with Legendre's multinomial expansion as a trial function. The governing equation is the Von-Karman type equation for large deflection plates. Numerical results arc compared with those obtained by the FEM. Results show thai this method is with high precision and converges fast. And it also show that the amount of computational work of this method is much less than that of the FEM. And some of the results may be very useful in the design of such kind circular plates in applications.
出处
《上海力学》
CSCD
1994年第1期81-87,共7页
Chinese Quarterly Mechanics
关键词
弹性约束
板屈曲
圆板
材料力学
Elastically restrained, Cylindrically ortholropic, Circular plates, Postbuckling.