检索结果-南通市图书馆

Coarse Mesh Superconvergence in Isogeometric Frequency Analysis of Mindlin–Reissner Plates with reduced integration and Quadratic Splines

引用

Acta Mechanica Solida Sinica 2022年第6期35卷 922-939页

作者： Xiaolan Xu Zhiwei Lin Songyang Hou Dongdong Wang Fujian Key Laboratory of Digital Simulations for Coastal Civil Engineering and Department of Civil Engineering Xiamen UniversityXiamen361005China

A frequency accuracy study is presented for the isogeometric free vibration analysis of Mindlin–Reissner plates using reduced integration and quadratic splines,which reveals an interesting coarse mesh ***,the frequency error estimates for isogeometric discretization of Mindlin–Reissner plates with quadratic splines are rationally derived,where the degeneration to Timoshenko beams is discussed as ***,in accordance with these frequency error measures,the shear locking issue corresponding to the full integration isogeometric formulation is elaborated with respect to the frequency accuracy *** the other hand,the locking-free characteristic for the isogeometric formulation with uniform reduced integration is illustrated by its superior frequency ***,it is found that a frequency superconvergence of sixth order accuracy arises for coarse meshes when the reduced integration is employed for the isogeometric free vibration analysis of shear deformable beams and plates,in comparison with the ultimate fourth order accuracy as the meshes are progressively ***,the mesh size threshold for the coarse mesh superconvergence is provided as *** proposed theoretical results are consistently proved by numerical experiments.

关键词： Isogeometric analysis Mindlin–Reissner plate Frequency accuracy Quadratic spline reduced integration Coarse mesh superconvergence

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

LINEAR FINITE ELEMENT APPROXIMATIONS FOR THE TIMOSHENKO BEAM AND THE SHALLOW ARCH PROBLEMS

引用

Journal of Computational Mathematics 2002年第1期20卷 15-22页

作者： Xiao-liang Cheng Wei-min Xue Department of Mathematics Zhejiang UniversityXixi CampusHangzhou 310028China Department of Mathematics Hong Kong Baptist UniversityKowloon TongHong Kong

Focuses on a study that discusses the linear finite element approximations for the Timoshenko beam and the shallow arch problems with shear dampening and reduced integration. Information on the Timoshenko beam; Detail... 详细信息

关键词： Timoshenko beam shallow arch shear dampening reduced integration

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

引用

Advances in Applied Mathematics and Mechanics 2009年第1期1卷 69-88页

作者： Yingxiong Xiao Shi Shu Hongmei Zhang Yuan Ouyang Civil Engineering and Mechanics College Xiangtan UniversityXiangtan 411105People’s Republic of China School of Mathematics and Computational Science Xiangtan UniversityXiangtan 411105People’s Republic of China Department of Mathematics and Physics Hunan University of TechnologyZhuzhou 412008People’s Republic of China

In this paper,we discuss an algebraic multigrid(AMG)method for nearly incompressible elasticity problems in ***,a two-level method is proposed by analyzing the relationship between the linear finite element space and the quartic finite element *** choosing different smoothers,we obtain two types of two-level methods,namely TL-GS and *** theoretical analysis and numerical results show that the convergence rates of TL-GS and TL-BGS are independent of the mesh size and the Young’s modulus,and the convergence of the latter is greatly improved on the order *** the convergence of both methods still depends on the Poisson’s *** fix this,we obtain a coarse level matrix with less rigidity based on selective reduced integration(SRI)method and get some types of two-level methods by combining different *** the existing AMG method used as a solver on the first coarse level,an AMG method can be finally *** results show that the resulting AMG method has better efficiency for nearly incompressible elasticity problems.

关键词： Locking phenomenon algebraic multigrid higher-order finite element two-level method reduced integration

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

A SIMPLE AND EFFICIENT TRIANGULAR FINITE ELEMENT FOR PLATE BENDING

引用

Acta Mechanica Sinica 1986年第2期2卷 185-192页

作者： Xu Zhongnian Shanghai Aircraft Design and Research Institute Shanghai Aircraft Design and Research Institute Shanghai China

A simple and efficient triangular finite element is introduced for plate bendingapplication. The element is a three-node triangular one with three basic degrees of freedom per nodeand two internal rotation degrees of freedom, using selective reduced integration. Numericalexamples indicate that, despite its simplicity, the element is not only competitively accurate, but alsouseful as a thick/thin triangular plate bending element. It is also pointed out that this element usingselective reduced integration is in fact a mixed element.

关键词： reduced integration selective reduced integration element using reducedintegration element using selective reduced integration mixed element.

来源：

同方期刊数据库评论

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：