检索结果-内蒙古大学图书馆

Two 8-node quadrilateral spline elements by b-net method

Acta Mechanica Sinica 2012年第6期28卷 1620-1629页

作者： Juan Chen Chong-Jun Li School of Mathematics and Quantitative Economics Dongbei University of Finance and Economics School of Mathematical Sciences Dalian University of Technology

Isoparametric quadrilateral elements are widely used in the finite element method, but the accuracy of the isoparametric quadrilateral elements will drop obviously deteriorate due to mesh distortions. Spline functions have some properties of simplicity and conformality. Two 8-node quadrilateral elements have been developed using the trian- gular area coordinates and the b-net method, which can ex- actly model the quadratic field for both convex and concave quadrangles. Some appropriate examples are employed to evaluate the performance of the proposed elements. The nu- merical results show that the two spline elements can obtain solutions which are highly accurate and insensitive to mesh distortions.

关键词： Spline finite element b-net method Quadri-lateral element - bivariate spline interpolation The secondorder completeness

来源：评论

学校读者我要写书评

暂无评论

A 3D triangular prism spline element using b-net method

引用

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 2019年 75卷 485-496页

作者： Chen, Juan Li, Chong-Jun Dongbei Univ Finance & Econ Sch Math Dalian 116025 Peoples R China Dalian Univ Technol Sch Math Sci Dalian 116024 Peoples R China

The triangular prism elements are often used in finite element method combined with hexahedral elements to dealing with 3D problems. However, the traditional prism elements based on isoparametric transformation are sensitive to the mesh distortion with accuracy loss for some cases. In this paper, we present a 3D triangular prism spline element with 15 nodes (denoted by TPS15) corresponding to 15 interpolation bases. Different from the isoparametric transformation, these interpolation bases are constructed based on the tetrahedral volume coordinates and the b-net method for spline functions. Theoretically, the triangular prism spline element can achieve the second order completeness in the Cartesian coordinates. We test the TPS15 element by some numerical examples, including that mixed with the hexahedral element. Compared with the isoparametric Serendipity elements, the numerical results show that the spline elements have better accuracy in most cases, especially for the distorted meshes.

关键词： triangular prism element Spline interpolation basis b-net method Volume coordinates The second order completeness

来源：评论

学校读者我要写书评

暂无评论

A concave-admissible quadrilateral quasi-conforming plane element using b-net method

引用

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 2016年 57卷 34-44页

作者： Hu, Qingyuan Xia, Yang Hu, Ping Li, Chongjun Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Sch Automot Engn Dalian 116024 Peoples R China Dalian Univ Technol Sch Math Sci Dalian 116024 Peoples R China

Severe accuracy loss will be caused on the occasion of mesh distortions and the calculation will even fail to be finished when the element becomes concave. This is a problem worth researching in finite element method. In this study, a novel concave-admissible quadrilateral plane element is developed within the framework of assumed displacement quasi-conforming finite element method. The b-net method is used for calculation of area integral items and gives results with high precision within convex and even concave quadrangles. Analysis shows the presented element can represent exactly displacement fields with second order polynomial terms in the Cartesian coordinates. Numerical results and comparisons with existing elements show that present element exhibit a remarkable insensitivity with extreme mesh distortions, as well as good accuracy. (C) 2015 Elsevier Masson SAS. All rights reserved.

关键词： Quasi-conforming b-net method Mesh distortions

来源：评论

学校读者我要写书评

暂无评论

Comparison of CSC method and the b-net method for deducing smoothness condition

引用

Progress in Natural Science:Materials International 2009年第1期19卷 25-31页

作者： Renhong Wang,Kai Qu Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China [a]Institute of Mathematical Sciences Dalian University of Technology Dalian 116024 China

The first author of this paper established an approach to study the multivariate spline over arbitrary partition,and presented the so-called conformality method of smoothing cofactor(the CSC method).Farin introduced the b-net method which is suitable for studying the multivariate spline over simplex *** paper indicates that the smoothness conditions obtained in terms of the b-net method can be derived by the CSC method for the spline spaces over simplex partitions,and the CSC method is more capable in some sense than the b-net method in studying the multivariate spline.

关键词： Multivariate spline Smoothing cofactor Global conformality condition b-net method Smoothness condition

来源：评论

学校读者我要写书评

暂无评论

Two conforming quadrilateral spline elements for thin plate bending using area coordinates and b-net method

Two conforming quadrilateral spline elements for thin plate ...

引用

第十届全国工程计算方法学术会议暨GCWCOME2012

作者： Juan Chen Chong-Jun Li School of Mathematics and Quantitative Economics Dongbei University of Finance and Economics School of Mathematical Sciences Dalian University of Technology

In mathematics, splines are piecewise polynomials satisfying certain continuity conditions. The shape functions can be treated as splines. It has been demonstrated that the spline method is an efficient tool for developing effective elements. In this paper, we represent two conforming quadrilateral thin plate elements by the triangular area coordinates and b-net method.

关键词： Spline finite element quadrilateral element completeness order b-net method

来源：评论

学校读者我要写书评

暂无评论

A 3D pyramid spline element

引用

Acta Mechanica Sinica 2011年第6期27卷 986-993页

作者： Juan Chen Chong-Jun Li Wan-Ji Chen School of Mathematics and Quantitative Economics Dongbei University of Finance and Economics 116025 Dalian China School of Mathematical Sciences Dalian University of Technology116024 Dalian China Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation Shenyang Aerospace University 110136 Shenyang China State Key Laboratory for Structural Analysis of Industrial Equipment Dalian University of Technology 116024 Dalian China

In this paper,a 13-node pyramid spline element is derived by using the tetrahedron volume coordinates and the b-net method,which achieves the second order completeness in Cartesian *** appropriate examples were employed to evaluate the performance of the proposed *** numerical results show that the spline element has much better performance compared with the isoparametric serendipity element Q20 and its degenerate pyramid element P13 especially when mesh is distorted,and it is comparable to the Lagrange element *** has been demonstrated that the spline finite element method is an efficient tool for developing high accuracy elements.

关键词： Spline finite element Pyramid element The second order completeness b-net method

来源：评论

学校读者我要写书评

暂无评论

Spline spaces with mixed orders of continuity over T-meshes

引用

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2014年 268卷 179-193页

作者： Wu, Meng Zhang, Weihong Yang, Zhouwang Deng, Jiansong Chen, Falai Univ Sci & Technol China Sch Math Sci Hefei 230026 Anhui Peoples R China INRIA Sophia Antipolis Galaad F-06902 Sophia Antipolis France Univ Nice Sophia Antipolis F-06108 Nice 02 France Hefei Normal Univ Hefei 230026 Anhui Peoples R China

In this paper, we introduce the concept of spline spaces with mixed orders of continuity over T-meshes. Then, the dimensions of the cubic spline spaces with continuity of order one and locally discontinuous over hierarchical T-meshes are presented by the b-net method. From the viewpoint of processing geometry data, a non-negative basis set with local support and partition of unity is constructed. Finally, the behavior of this type of spline is analyzed with the help of examples in image processing and finite element analysis. (C) 2014 Elsevier b.V. All rights reserved.

关键词： Spline T-mesh Discontinuous data processing Finite element method b-net method

来源：评论

学校读者我要写书评

暂无评论

A 3D hexahedral spline element

引用

COMPUTERS & STRUCTURES 2011年第23-24期89卷 2303-2308页

作者： Li, Chong-Jun Chen, Juan Chen, Wan-Ji Dalian Univ Technol Sch Math Sci Dalian 116024 Peoples R China Dongbei Univ Finance & Econ Sch Math & Quantitat Econ Dalian 116025 Peoples R China Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China Shenyang Inst Aeronaut Engn Inst Struct Anal Aerocraft Shenyang 110136 Peoples R China

based on the tetrahedral volume coordinates and the b-net method, a 3D hexahedral spline element with 21 nodes is proposed, which includes an internal node and achieves the second order completeness in the Cartesian coordinates. Some numerical examples are employed to evaluate the performance of the proposed element. The numerical results show that the 21-node element has much better performance than that of the isoparametric 20-node Serendipity element especially for the distorted meshes, and it is comparable to the 27-node Lagrange element. It has also been demonstrated that the spline finite element method is an efficient tool for developing high accuracy elements. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Spline finite element Hexahedral element The second order completeness b-net method

来源：评论

学校读者我要写书评

暂无评论

The quadrilateral Mindlin plate elements using the spline interpolation bases

引用

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2018年 329卷 68-83页

作者： Chen, Juan Dongbei Univ Finance & Econ Sch Math Dalian 116025 Peoples R China

by the Mindlin/Reissner plate theory, the displacement omega and rotations theta(x), theta(y) are interpolated by independent functions, for which only C-0 continuity condition is required. The difficulty for constructing interpolation bases on the quadrilateral element without isoparametric transformation can be overcome by using the spline method. In this paper, two sets of spline interpolation bases are adopted to construct two quadrilateral spline Mindlin plate elements (QSMP1 and QSMP2) with 12 degrees of freedom. The spline elements can be applied for both thick and thin plates, and can converge for the very thin case. Numerical examples are discussed to show that the Mindlin plate element combined with the spline interpolation bases can possess good accuracy. (C) 2017 Elsevier b.V. All rights reserved.

关键词： Spline finite element Quadrilateral thick/thin plate element Mindlin plate element Spline interpolation bases b-net method

来源：评论

学校读者我要写书评

暂无评论

Spline R-Function and Applications in FEM

引用

Numerical Mathematics(Theory,methods and Applications) 2020年第1期13卷 150-175页

作者： Tianhui Yang Ammar Qarariyah Jiansong Deng School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026AnhuiChina

R-function is a widely used tool when considering objects obtained through the boolean operations start from simple base ***,there is square root operation in the *** that the use of splines will facilitate the calculations within the CAD system,in this paper,we propose a system of R-functions represented in spline form called Spline R-function(SR).After trans-forming the function ranges of two base primitives to a new coordinate system,a series of sign constraints following a specific boolean operation are derived and the spline R-function can be formulated as a piecewise *** of SR in both b´ezier form and b-spline form have been *** which the b´ezier ordinates are determined with the help of the b-net method through setting up a series of relations according to the sign constraints and properties of *** construction processes for both boolean intersection and union operations with different smoothness are discussed in *** experiments are conducted to show the potential of the proposed spline R-function.

关键词： R-functions CSG boolean operations b-splines b-net method WEb method

来源：评论

学校读者我要写书评

暂无评论

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

请选择保存的检索档案：

请选择收藏分类：

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

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

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：