[1]贾程,陈国荣,陈卉卉..US-FE-LSPIM四边形单元的自由振动研究[J].郑州大学学报(工学版),2009,30(02):129-132,140.
JIA Cheng,CHEN Guorong,CHEN Huihui.The Free Vibration Analysis of US-FE-LSPIM QUAD4 Element[J].Journal of Zhengzhou University (Engineering Science),2009,30(02):129-132,140.
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US-FE-LSPIM四边形单元的自由振动研究(
)
《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]
- 卷:
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30
- 期数:
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2009年02期
- 页码:
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129-132,140
- 栏目:
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- 出版日期:
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1900-01-01
文章信息/Info
- Title:
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The Free Vibration Analysis of US-FE-LSPIM QUAD4 Element
- 作者:
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贾程; 陈国荣; 陈卉卉.
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河海大学工程力学系,江苏,南京,210098, 解放军理工大学国防人防系,江苏,南京,210007
- Author(s):
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JIA Cheng; CHEN Guorong; CHEN Huihui
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1．Department of Engineering Mechanics。Hohai University，Nanjing 210098，China；2．Engineering Institute of EngineeringCorps．PLA University of Science and Technology，Nanjing 210007，China
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- 关键词:
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有限元-无网格; 网格变形; 振动性; 形函数; 四边形单元
- Keywords:
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Finite element - no mesh; mesh deformation; vibration; shape functions; Quadrilateral elements
- 文献标志码:
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A
- 摘要:
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为了提高在网格变形时的数值计算精度,基于非对称有限单元的概念,提出US-FE-LSPIM四边形单元.该单元是利用两种不同的形函数集合,即:传统的四节点等参形函数集和FE-LSPIM四边形单元形函数集分别作为检验函数和试函数构成.它能方便地施加整段长度的位移边界条件.通过研究该四边形单元在悬臂梁二维自由振动中的表现,表明该单元具有很高的计算精度;并且在变形网格下该单元结果优于QUAD4单元,对网格变形不敏感.
- Abstract:
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In order to improve the numerical calculation accuracy during mesh deformation, based on the concept of asymmetric finite elements, a US-FE-LSPIM QUADRILATERAL ELEMENT is proposed. This unit is composed of two different sets of shape functions, namely, the traditional set of four-node isoparameter functions and the set of FE-LSPIM quadrilateral element shape functions as test functions and test functions, respectively. It can easily apply displacement boundary conditions over the entire length. By studying the performance of the quadrilateral element in the two-dimensional free vibration of the cantilever beam, it is shown that the unit has high calculation accuracy. And under the deformed mesh, the result of this element is better than that of the QUAD4 element, which is insensitive to mesh deformation.
更新日期/Last Update:
1900-01-01