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JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE)
    
Equivalent and integrated method for information of multiple physical fields on heterogeneous finite element meshes
FANG Xi-wu1,2, LIU Zhen-yu1, TAN Jian-rong1, CHENG Feng-bei1
1. State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China; 2. School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing 211167, China
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Abstract  

A primary-secondary-mesh method which focuses on how to integrate the information of the multiple physical fields on heterogeneous finite element meshes was proposed. One of the heterogeneous meshes is taken as primary mesh and the other the secondary one. The properties of the secondary mesh are equivalent to those of the primary mesh by the inverse isoperimetric mapping method, then, the multi-physical fields on different meshes are integrated and visualized on the primary mesh with the red, green, and blue (RGB) color model. An example that the nodal property of the part’s quadrilateral mesh being equivalent to that of its triangular mesh was presented. The high consistency of the stress distribution figures and the contour maps of these two meshes shows that this method is correct. This method was used to integrate and visualize the two fields of stress and temperature on the cutters and disk cutter of the shield machine. The results show that the two field’s actions are stronger on the blade of the cutter and weaker on the disk cutter. Some advices on the structural design of the cutter and the disk cutter by the finite element analysis were given.



Published: 01 April 2015
CLC:  TP 391.9  
Cite this article:

FANG Xi-wu, LIU Zhen-yu, TAN Jian-rong, CHENG Feng-bei. Equivalent and integrated method for information of multiple physical fields on heterogeneous finite element meshes. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2014, 48(6): 973-879.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2014.06.002     OR     http://www.zjujournals.com/eng/Y2014/V48/I6/973


异构有限元网格多场信息的等效集成方法

针对受多场作用的异构有限元网格信息集成问题,提出主/辅网格等效集成方法,即将异构有限元网格其中之一作为主网格,其他作为辅网格.采用等参逆变换方法将辅网格单元信息向主网格结点等效,最后在主网格中使用RGB三原色模型实现多物理场的集成化显示.将零件的四边形单元网格的结点属性向三角形单元网格结点属性等效,两者的应力分布图和等值线图的高度一致,验证了方法的正确性.本方法用于集成显示盾构刀具、刀盘的应力场和温度场综合作用分布,结果表明:两场在刀具刀刃部位的作用均较强,而对刀盘盘身的作用相对较弱.研究结果为刀具、刀盘的结构设计提供了有限元分析依据.

[1] 王东方,潘琼瑶,郑百林. 柴油机气缸盖多场耦合三维有限元分析[J].力学季刊,2005,26(3): 511-516.
WANG Dong-fang, PAN Qiong-yao, ZHENG Bai-lin, Three dimensional finite element method multi-Field coupling analysis for diesel engine cylinder Cap [J]. Chinese Quarterly of Mechanics, 2005, 26(3): 511-516.
[2] 蒋志强.基于ANSYS的发电设备热及热—结构藕合分析[D].杭州: 浙江大学,2006.JIANG Zhi-qiang. The heat and heat-structure coupled analysis on power generation assembly based on ANSYS [D]. Hangzhou: Zhejiang University, 2006.
[3] ZHAO C B, HOBBS B E, MUGHLHAUS H B. A consistent point-searching algorithm for solution interpolation in unstructured meshes consisting of 4-node bilinear quadrilateral elements[J]. International Journal for Uumerical Methods in Engineering, 1999, 45: 1509-1526.
[4] 刘振宇,傅云,谭建荣.基于异构网格耦合的产品多物理场有限元数据集成与可视化仿真[J].机械工程学报,2010, 46(7): 114-121.
LIU Zhen-yu, FU Yun, TAN Jian-rong, Integration and visual simulation of finite element data of product multiple physical fields based on coupling of heterogeneous meshes[J]. Journal of Mechanical Engineering, 2010, 46(7): 114-121.
[5] 傅云.复杂产品数字样机多性能藕合分析与仿真的若干关键技术研究及其应用[D].杭州:浙江大学,2008.
FU Yun, Research on the theory method and application of multi-performance coupled analysis and simulation of digital mock-up of complex products [D].Hangzhou: Zhejiang University, 2008.
[6] 莫尼卡.有限元分析:理论和ANSYS应用[M],北京:电子工业出版社,2008: 165-178.
[7] 孙家广,杨长贵.计算机图形学[M].北京:清华大学出版社,1994: 505-509.
[8] LANE J. An efficient point in polyhedron algorithm[J]. Computer Vision, Graphics, and Image Processing, 1984, 26(1): 118-125.
[9] 李春光,郑宏,葛修润,等.六面体单元等参逆变换的一种迭代解法[J].岩土力学, 2004, 25(7): 1050-1052.
LI Chun-guang, ZHENG Hong, GE Xiu-run, et al,An iterative algorithm of inverse isoparametric mapping for hexahedral elements[J]. Rock and Soil Mechanics, 2004, 25(7): 1050-1052.
[10] 徐燕萍,项阳,刘泉声,等.等参元逆变换插值法的研究及其应用[J].岩土力学, 2001,22(2): 226-232.
XU Yan-ping, XIANG Yang, LIU Quan-sheng, et al. Research on numerical inverse isoparametric mapping interpolation and its applications[J]. Rock and Soil Mechanics, 2001,22(2): 226-232.
[11] 钱向东,任青文,赵引.一种高效的等参有限元逆变换算法[J].计算力学学报, 1998,15(4): 437-441.
QIAN Xiang-dong, REN Qing-wen, ZHAO Yin. An efficient algorithm of inverse isoparametric mapping for finite element [J]. Chinese journal of Computational Mechanics, 1998, 15(4): 437-441.

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