异构有限元网格多场信息的等效集成方法  

Equivalent and integrated method for information of multiple physical fields on heterogeneous finite element meshes

作　　者：方锡武[1,2] 刘振宇[1] 谭建荣[1] 程丰备[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室,浙江杭州310027 [2]南京工程学院机械工程学院,江苏南京211167

出　　处：《浙江大学学报（工学版）》2014年第6期973-979,共7页Journal of Zhejiang University：Engineering Science

基　　金：国家"973"重点基础研究发展规划资助项目(2013CB035400);国家自然科学基金资助项目(51075357)

摘　　要：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.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.

关 键 词：异构有限元网格 等参逆变换 多物理场 集成可视化 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]