复杂三维曲梁结构的无闭锁等几何分析算法研究

夏阳; 廖科

doi:10.6052/j.issn.1000-4750.2017.08.0602

复杂三维曲梁结构的无闭锁等几何分析算法研究

夏阳,
廖科

大连理工大学运载工程与力学学部汽车工程学院, 工业装备结构分析国家重点实验室, 辽宁, 大连 116024

基金项目: 中国自然科学基金项目（11702056，61572021）；中央高校基本科研业务费专项资金项目（DUT17JC32）

详细信息

作者简介:
廖科(1993-),男,四川人,硕士生,主要从事等几何分析研究(E-mail:liaokk11@dlut.edu.cn).

通讯作者:
夏阳(1987-),男,河南人,讲师,博士,主要从事等几何分析和增材制造工艺力学研究(E-mail:yangxia@dlut.edu.cn).

中图分类号: O241.8;TU323.3
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- 文章访问数: 553
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出版历程
- 收稿日期: 2017-08-14
- 修回日期: 2018-01-15
- 刊出日期: 2018-11-28

LOCKING-FREE ISOGEOMETRIC ANALYSIS OF COMPLEX THREE-DIMENSIONAL BEAM STRUCTURES

XIA Yang,
LIAO Ke

State Key Laboratory of Structural Analysis for Industrial Equipment, School of Automotive Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 梁结构在工程中应用广泛，梁结构的仿真分析是计算力学的一个重要研究内容。该文研究了复杂三维曲梁结构的等几何分析方法，首次应用拟协调有限元中的多套函数技术，使用降阶基函数逼近梁内应变项，解决复杂三维曲梁结构仿真中的闭锁问题。利用全局坐标系列式方法，避免了单元刚度阵组装时的复杂坐标变换过程，提高计算效率。使用多片NURBS （非均匀有理B样条）数据表示复杂三维梁结构，可精确描述曲梁结构的几何形状，与有限元方法等仿真技术相比避免了网格生成过程，减少了几何误差。数值结果表明该文算法可有效解决闭锁问题，适于复杂三维曲梁结构的仿真分析。
- 等几何分析 /
- 三维曲梁 /
- 闭锁问题 /
- 多套函数 /
- 拟协调有限元
Abstract: The beam structure is widely used in engineering. The numerical simulation of beam structures is an important topic in computational mechanics. In this paper, the locking-free isogeometric analysis of complex three-dimensional beam structures is investigated. The technique of multiple sets of approximation functions originated from quasi-conforming finite element method is first applied to the isogeometric analysis of three-dimensional beam structures to solve the locking problem. Order-reduced approximation functions are applied to simulate the strains of beams. Global formulation of beam strains is applied, and the stiffness matrices of beam elements and patches can be combined without transformation between local and global coordinate systems. The beam structure is described by multi-patch non-uniform rational B-spline functions. The geometry is exactly described, and the geometrical error introduced by finite element mesh can be avoided. The numerical experiments prove that the proposed algorithm can effectively avoid the locking problem in Timoshenko beam formulation, and is suitable for the analysis of complex three-dimensional beam structures.
- isogeometric analysis /
- three-dimensional beam /
- locking free /
- multiple sets of approximation functions /
- quasi-conforming finite element method

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参考文献(22)

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文章访问数: 553
HTML全文浏览量: 65
PDF下载量: 127
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复杂三维曲梁结构的无闭锁等几何分析算法研究

作者简介: 廖科(1993-),男,四川人,硕士生,主要从事等几何分析研究(E-mail:liaokk11@dlut.edu.cn).

通讯作者: 夏阳(1987-),男,河南人,讲师,博士,主要从事等几何分析和增材制造工艺力学研究(E-mail:yangxia@dlut.edu.cn).

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出版历程

LOCKING-FREE ISOGEOMETRIC ANALYSIS OF COMPLEX THREE-DIMENSIONAL BEAM STRUCTURES

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出版历程

目录

作者简介:
廖科(1993-),男,四川人,硕士生,主要从事等几何分析研究(E-mail:liaokk11@dlut.edu.cn).

通讯作者:
夏阳(1987-),男,河南人,讲师,博士,主要从事等几何分析和增材制造工艺力学研究(E-mail:yangxia@dlut.edu.cn).