弹性薄圆板的后屈曲分析

Post-buckling Analysis of Thin Elastic Circular Plates

本文对薄圆板的后屈曲进行了研究。采用Galerkin法,试函数选为Legendre多项式,控制方程是Von-karman大挠度方程。考虑了简支,夹支两种边界条件。计算结果与有关文献[1]进行了比较,表明以Legendre多项式为试函数收敛快,精度高,且计算工作量较文献[1]为小。

The past-buckling analysis of thin elastic circular plates has been considered in this paper for usual simply-supported and clamped boundary conditions. The Galerkins technique was used with Legendre's multinomial expansion as a trial function. The basic equation is the Von-Karman type of large deflection equations for plates. Some numerical results are compared with those obtained by the finite element formulation0'. The results show that taking Legendre's multinomial expansion as a trial function converges very fast and its precision is high, the amount of work reguired by the Galerkin's techinque is less than that of the finite element method.