摘要
本文从中厚扁壳理论出发,建立高次(次数p可高达14次)扁壳弯曲问题的曲线曲边有限元线法单元.实际计算时,单元尺寸h可以不变,由提高单元次数P来取得比加密单元收敛更快的p收敛.算例表明,本法精度高,收敛快,较理想地克服了剪切闭锁现象,是一种分析扁壳结构的出色的方法.
In this paper, the p-version of the finite element method of kines(FEMOL) for analysis of the Mindlin-Reissner shallow shells is presented and a class of p-FEMOL elements are developed. In practical calculation, the rate of convergence can be much accelerated by increasing the p of the element instead of by densifying the elements, while the elements dimension h is no need to be changed.Numerical examples given in this paper show tremendous performance of the present method, namely, rapid convergence rate, great accuracy for both displacements and stress resultants, and capability of overcoming both the 'shear locking' and 'membrane locking' .
出处
《土木工程学报》
EI
CSCD
北大核心
1994年第6期36-44,共9页
China Civil Engineering Journal
基金
国家自然科学基金资助项目