摘要
本文基于Von-Karman型大挠度方程,用Galerkin技术对置于弹性地基上的周边转动弹性约束的圆柱正交各向异性圆板的后屈曲进行了分析,分析中以Legendre多项式为试函数,计算结果表明:本文所述方法是可行的,且解收敛快,精度高,与文献[1]的有限元法比较,方法简单,工作量小,易于工程技术人员掌握等优点,有关结果可供设计圆板时参考.
The post-buckling of cylindrically orthotropic circular plates on elastic foundation with edges elastically restrained against rotation has been analyzed in this paper. The Von-Karrnan equation oi large deflection for plates is used as basic equation and the Galerkin's technique is used with Legendre's multinomial expansion as a trial function. Some numerical results are compared with those obtained by finite element formulation. The results show that taking Legendre's multinomial expansion as a trial function the solution converges very fast and its precision is high. The amount of work required by the Galerkin's technique is less than that of the finite element method. Some numerical results presented in the paper may conduce to efficient design of circular plates in practical structures.
出处
《土木工程学报》
EI
CSCD
北大核心
1995年第4期58-66,共9页
China Civil Engineering Journal
