摘要
用数值方法求解旋转薄壳稳定性问题的主要困难在于:对任意应力状态下的旋转壳进行稳定性分析,各谐波间彼此耦合,致使方程推导的复杂性和计算量都增大,本文采用[3]所提供的单元及经典的能量判据,在最一般的提法下构造了有限元列式,详细讨论了耦合情况,利用本文方案编制程序并进行了许多算例分析,结果令人满意。同时表明在某些情况下边界条件对临界载荷的影响很大,这可以部分地解释古典稳定性分析结果与实验偏差较大以及实验数据分散的原因。
An analysis by the finite element method is presented for solving linear buckling probems of revolutionary thin shell. A general nonlinear strain-displacement relationship is used in the stability formulation which is based on the energy criterion. Under certain assumptions, the problem is reduced to a generalized eigenvalue problem. In the F. E, M, calculation, the coupling between harmonics is taken into consideration. The method is applied to several examples and the results are compared with the theoretical and experimental ones.
出处
《力学学报》
EI
CSCD
北大核心
1990年第1期110-114,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
稳定性
旋转壳
数值分析
壳
stability, coupling between harmonics, energy criterion, critical load
