摘要
板壳大变形时单元的严重畸变会使计算精度降低。无网格局部Petrov-Galerkin法是一种真正的无网格方法,能够消除网格畸变,但比有限元法计算效率低。根据板壳网格畸变的局部性特点,利用过渡单元法,基于板壳网格质量,建立了板壳的网格严重畸变区域由有限元分析切换为无网格分析的自动耦合算法,实现了有限元法和无网格局部彼得罗夫-迦辽金法的耦合。应用实例表明:通过自适应耦合,既能发挥有限元法计算效率高的特点,又能发挥无网格法适合大变形分析、没有网格畸变造成计算困难的特点。
Distortional meshes,which have been resulted from excessive deformation of plates and shells,decrease computational accuracy of FE method.The meshless local Petrov-Galerkin(MLPG) method is a truly meshless method which can avoid the computational difficulty caused by distortional meshes,but its computational efficiency is rather low compared with that of FE method.Based on localization of distortional elements and according to the singularity of FE mesh,by constructing interface elements in the interface zone between the FE regions and the meshless regions,the automatic algorithm is proposed to convert FE analysis to meshless approximation for the region where meshes have been severely distorted,and then the coupling method of MLPG-FE for plates and shells is implemented.Numerical examples show that the proposed method exploits the respective advantages of both FEM whose computational efficiency is rather high and meshless methods which is suitable for large deformation analysis and may eliminate computational difficulty caused by mesh distortions.
出处
《应用力学学报》
CAS
CSCD
北大核心
2011年第6期618-623,674,共6页
Chinese Journal of Applied Mechanics
基金
山东省自然科学基金(ZR2009AM014)
山东理工大学博士启动基金(2010KQ03)
