有限元方法中实体单元选择策略研究
|
摘要
针对有限元法中有关单元选择主要依赖分析人员的经验,缺乏客观性的问题,研究了其实体单元的选择策略。首先从有限元理论出发,分析各单元之间的差异,提出了节点势能的概念,并比较不同模型中节点势能的差异。同时在ANSYS中观察这种由于单元的差异带来的表现。然后对比了某地铁转向架构架试验中试验值和ANSYS中采用不同单元进行模拟的解,进而给出了实体单元的选择建议。
Because the element selection in the finete element method depends on the experience of the analyzers and it is lack of objectivity,this paper make a study of the strategy of selecting solid element. And then,according the finite element theoy,the difference amony all elements are analyzed and the concept of node potential energy is proposed,then,the difference of the node potential energy in the different models is compared. Meanwhile,the difference between different elements in ANSYS are observed.The selection strategy of the solid element is proposed by comparing the test value with the ANSYS solution of the metro bogie frame.
Because the element selection in the finete element method depends on the experience of the analyzers and it is lack of objectivity,this paper make a study of the strategy of selecting solid element. And then,according the finite element theoy,the difference amony all elements are analyzed and the concept of node potential energy is proposed,then,the difference of the node potential energy in the different models is compared. Meanwhile,the difference between different elements in ANSYS are observed.The selection strategy of the solid element is proposed by comparing the test value with the ANSYS solution of the metro bogie frame.
引文
[1]叶勤.轻型载货汽车车架有限元分析与优化[D].武汉:武汉理工大学,2007.
[2]刘建涛,杜平安,黄明镜,等.曲面薄壳有限元离散误差分析和修正方法研究[J].系统仿真学报,2010(10):2281-2286.
[3]曾攀.有限元基础教程[M].北京:高等教育出版社,2012.
[4]陈国荣.弹性力学[M].南京:河海大学出版社,2002.
[5]高素荷,姚河省.网格划分密度与有限元求解精度研究[C]//中国cae工程分析技术年会暨2007全国计算机辅助工程,2007:12-15.
[6] Hughes T J R,Liu W K. Nonlinear finite element analysis of shells:Part I. three-dimensional shells[J]. Computer Methods in Applied Mechanics&Engineering,1981,26(3):331-362.
[7]尚晓江,邱峰赵. ANSYS结构有限元高级分析方法与范例应用[M].北京:中国水利水电出版社,2015.
[8]Logan D L. A first course in the finite element method[M].[S.I.]:Cengage Learning,2011.
[9]El Haddad M H. Finite element analysis of infilled frames considering cracking and separation phenomena[J]. Computers&structures,1991,41(3):439-447.
[10] Code,U. I. C. 615-4,Motive Power Units——Bogies and Running Gear-Bogie Frame Structure Strength Tests[D].[S.I.] International Union of Railways,1994.
[11]TB/T2368-2005动力转向架构架强度试验方法[S].北京:中国铁道出版社,2005.
[2]刘建涛,杜平安,黄明镜,等.曲面薄壳有限元离散误差分析和修正方法研究[J].系统仿真学报,2010(10):2281-2286.
[3]曾攀.有限元基础教程[M].北京:高等教育出版社,2012.
[4]陈国荣.弹性力学[M].南京:河海大学出版社,2002.
[5]高素荷,姚河省.网格划分密度与有限元求解精度研究[C]//中国cae工程分析技术年会暨2007全国计算机辅助工程,2007:12-15.
[6] Hughes T J R,Liu W K. Nonlinear finite element analysis of shells:Part I. three-dimensional shells[J]. Computer Methods in Applied Mechanics&Engineering,1981,26(3):331-362.
[7]尚晓江,邱峰赵. ANSYS结构有限元高级分析方法与范例应用[M].北京:中国水利水电出版社,2015.
[8]Logan D L. A first course in the finite element method[M].[S.I.]:Cengage Learning,2011.
[9]El Haddad M H. Finite element analysis of infilled frames considering cracking and separation phenomena[J]. Computers&structures,1991,41(3):439-447.
[10] Code,U. I. C. 615-4,Motive Power Units——Bogies and Running Gear-Bogie Frame Structure Strength Tests[D].[S.I.] International Union of Railways,1994.
[11]TB/T2368-2005动力转向架构架强度试验方法[S].北京:中国铁道出版社,2005.