基于边界单元法的印刷机滚筒结构刚度分析
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摘要
以实际滚筒模型为分析对象,使用边界单元法(BEM)对该结构进行刚度计算和分析。通过数值算例验证了BEM的正确性和有效性,在此基础上,充分考虑实际工况,应用BEM法分析滚筒在重力作用下的自由变形,并与基于FEM的商用结构分析软件得到的结果进行对比。对比结果显示,BEM法在分析滚筒结构刚度时具有精度高、计算量小以及纯边界离散等特点,是一种应用于结构刚度分析的高效方法。
A practical printing cylinder was analyzed in the aspect of structural rigidity computation through the BEM. Convergence study of the result was also performed to illustrate the validity and efficiency of the presented method. The free deformation of printing cylinder under gravity was analyzed by BEM with the practical working conditions considered. Results obtained from both of the FEM and BEM were compared. The comparison showed the advantages of BEM for practical structural analysis as boundary only discretization, lower cost of computation and high precision, which presented a new highly accurate method for printing cylinder deformation analysis.
A practical printing cylinder was analyzed in the aspect of structural rigidity computation through the BEM. Convergence study of the result was also performed to illustrate the validity and efficiency of the presented method. The free deformation of printing cylinder under gravity was analyzed by BEM with the practical working conditions considered. Results obtained from both of the FEM and BEM were compared. The comparison showed the advantages of BEM for practical structural analysis as boundary only discretization, lower cost of computation and high precision, which presented a new highly accurate method for printing cylinder deformation analysis.
引文
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[18]尹欣.三维弹性问题边界元法并行计算及其工程应用[D].北京:清华大学,2000.YIN Xin.Parallel Computation of 3D Elastic Problems with BEM and Its Engineering Application[D].Beijing:Tsinghua University,2000.
[2]刘琳琳,成刚虎,刘国栋.基于变截面梁积分的印刷滚筒挠曲计算[J].轻工机械,2007,25(6):24-26.LIU Linlin,CHENG Ganghu,LIU Guodong.Calculation on Deflection of Printing Cylinder Based on Integration to Variable Cross Section Beam[J].Light Industry Machinery,2007,25(6):24-26.
[3]余节约,田培娟.印刷压力计算的误差分析[J].包装工程,2008,29(7):99-101.YU Jieyue,TIAN Peijuan.Error Analysis of Printing Pressure Calculation[J].Packaging Engineering,2008,29(7):99-101.
[4]袁清珂,杜亚男,王同乐,等.印刷机滚筒的模态分析[J].包装工程,2011,32(15):102-105.YUAN Qingke,DU Yanan,WANG Tongle,et al.Modal Analysis of Printing Cylinder[J].Packaging Engineering,2011,32(15):102-105.
[5]姚齐水,张然,明兴祖,等.弹性复合圆柱滚子轴承静态径向刚度分析[J].中国机械工程,2013,24(22):3085-3089.YAO Qishui,ZHANG Ran,MING Xingzu,et al.Static Radial Stiffness Analysis of Elastic Composite Cylinderical Roller Bearing[J].China Mechanical Engineering,2013,24(22):3085-3089.
[6]姚齐水,李超,王勇,等.基于预负荷弹性支承的印刷滚筒承载性能研究[J].中国机械工程,2015,26(23):3214-3220.YAO Qishui,LI Chao,WANG Yong,et al.Research on Bearing Behaviors of Printing Cylinder Based on Preload Elastic Supporting[J].China Mechanical Engineering,2015,26(23):3214-3220.
[7]杨新艳.胶印机压印滚筒的有限元分析[D].西安:西安理工大学,2006.YANG Xinyan.The Finite Element Analysis of Impressing Cylinder on Offset Press[D].Xi’an:Xi’an University of Technology,2006.
[8]王进堂.基于印刷机滚筒轴承接触问题的有限元分析[D].西安:西安理工大学,2009.WANG Jintang.The Finite Element Analysis Basing on The Contact Problem for Cylinder Roller Bearing of Printing Machine[D].Xi’an:Xi’an University of Technology,2009.
[9]王勖成.有限单元法[M].北京:清华大学出版社,2002:1-40.WAMG Xucheng.Finite Element Method[M].Beijing:Tsinghua University Press,2002:1-40.
[10]龙述尧,蒯行成,刘腾喜.计算力学[M].长沙:湖南大学出版社,2001:7-20.LONG Shuyao,KUAI Xingcheng,LIU Tengxi.Computational Mechanics[M].Changsha:Hunan University Press,2001:7-20.
[11]张雄,刘岩.无网格法[M].北京:清华大学出版社,2004:21-40.ZHANG Xiong,LIU Yan.Meshless Methods[M].Beijing:Tsinghua University Press,2004:21-40.
[12]姚寿广.边界元数值方法及其工程应用[M].北京:国防工业出版社,1995:11-38.YAO Shouguang.Boundary Element Methods and Its Engineering Applications[M].Beijing:National Defense Industry Press,1995:11-38.
[13]张见明.基于边界面法的完整实体应力分析理论与应用[J].计算机辅助工程,2010,19(3):5-10.ZHANG Jianming.Theory and Application of Stress Analysis on Complete Solids Based on Boundary Face Method[J].Computer Aided Engineering,2010,19(3):5-10.
[14]覃先云,张见明,李光耀,等.边界面法分析三维实体线弹性问题[J].固体力学学报,2011,32(5):500-506.QIN Xianyun,ZHANG Jianming,LI Guangyao,et al.Analysis of 3D Linear Elasticity Problems Directly on Geometric Model with the Boundary Face Method[J].Chinese Journal of Solid Mechanics,2011,32(5):500-506.
[15]ZHOU F L,ZHANG J M,SHENG X M,et al.A Dual Reciprocity Boundary Face Method for 3D NonHomogeneous Elasticity Problems[J].Engineering Analysis with Boundary Elements,2012,36(9):1301-1310.
[16]ZHANG J M,QIN X Y,HAN X,et al.A Boundary Face Method for Potential Problems in Three Dimensions[J].International Journal for Numerical Methods in Engineering,2009,80(3):320-337.
[17]ZHOU F L,ZHANG J M,SHENG X M,et al.Shape Variable Radial Basis Function and Its Application in Dual Reciprocity Boundary Face Method[J].Engineering Analysis with Boundary Elements,2011,35(2):244-252.
[18]尹欣.三维弹性问题边界元法并行计算及其工程应用[D].北京:清华大学,2000.YIN Xin.Parallel Computation of 3D Elastic Problems with BEM and Its Engineering Application[D].Beijing:Tsinghua University,2000.