计算力学学报2017，Vol.34Issue(2)：206-212,7.DOI:10.7511/jslx201702012
一种提高四边形四节点平面壳单元计算精度的新方法
A new method to improve the calculation accuracy of 4-node quadrilateral flat shell element
摘要
Abstract
The flat shell element is composed of the plane stress element and plate bending element,which have the simple theoretical expressions.But when the curvature of the element surface is large,the numerical results of the flat shell element are not very accurate.In order to improve the performance of the flat shell element,a new method to calculate the element stiffness matrix of the flat shell element is proposed in this paper.By establishing the local Cartesian coordinate systems on each Gauss point over the tangent plane to the surface,the local Cartesian coordinate systems can adapt to the curved element surface better.In order to compute the element stiffness matrix of the flat shell element in these local Cartesian coordinate systems,the corresponding techniques to calculate the derivatives of the shape functions with respect to the local coordinates,the transformation matrix from the Local to the Global Coordinate Systems and Jacobian are also provided in this paper.The 4-node flat shell element DKQ24 based on the theories of the plane stress element and DKQ plate bending element with this new method can achieve higher precision results than the traditional ways,especially for the curved shell structure.The numerical results demonstrate that the flat shell element with this new method not only has simple theoretical expressions but also can obtain satisfactory results.Furthermore,this new method presented in this paper offers a new approach for other flat shell element to improve the computing accuracy.关键词
平面壳单元/高斯积分点/单元局部坐标系/形函数对局部坐标的导数/曲面壳体Key words
flat shell element/Gauss point/local Cartesian coordinate system/derivatives of the shape functions with respect to the local coordinates/curved shell structure分类
数理科学引用本文复制引用
刘云飞,吕军,高效伟..一种提高四边形四节点平面壳单元计算精度的新方法[J].计算力学学报,2017,34(2):206-212,7.基金项目
国家自然科学基金(11172055,11202045,11302040) （11172055,11202045,11302040）
大连科技之星(2014年称号)资助项目. （2014年称号）
