求解高速球轴承载荷分布的简化矩阵模型  

Simplified matrix model for load distribution of high-speed ball bearing

作　　者：赵春江[1,2] 梁波[3] 葛世东[3] 黄庆学[1] 

机构地区：[1]太原科技大学材料科学与工程学院,太原030024 [2]吉林大学机械科学与工程学院,长春130022 [3]洛阳轴承研究所,河南洛阳471039

出　　处：《吉林大学学报（工学版）》2010年第6期1595-1598,共4页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(50575155);山西省专利推广项目(081004);山西省重点实验室开放基金项目(2009011059-10)

摘　　要：给出了根据滚动体高速运转时几何参数和力能参数的变化特征,将高速球轴承载荷求解方程组简化为基于杆系有限元方法的矩阵模型。通过分析内圈平衡方程,发现杆件有限元模型中的参数在计算过程中具有独立变量,并且包含已知变量,进而对有限元模型进行了降阶简化,得到了4阶矩阵模型,较大程度地简化了载荷分布计算,且其形式尤其适于MATLAB矩阵求解,程序编写变得简单,提高了计算速度,改善了计算的稳定性。最后通过算例比较说明了本文方法的正确性,可以替代传统的计算方法。The variation features of the geometric and kinetic parameters of the high-speed rolling body were given based on the conventional calculation method of the load distribution of the high-speed ball bearing.According to these features,a new calculation method was suggested to simplify the equation group of the high-speed ball bearing load distribution into a matrix model of the linkage finite element method（FEM） .It was discovered that some of the parameters of the linkage FEM model are independant variables and some are known variables in the calculation process through the analysis of the equilibrium equation of the bearing inner ring.Therefore,the FEM model could be reduced into a 4-order matrix model,simplifying the load distribution calculation to a great extent.The simplified method was suitable for the matrix solution on Matlab,the programing is simplified,the calculation speed increased,and the calculation stability was inproved.A case example showed that the fensibility and reasonableness of the proposed method instead of the conventional method.

关 键 词：机械设计 高速球轴承 载荷分布 杆系有限元 矩阵模型 降阶简化 

分 类 号：TH123[机械工程—机械设计及理论]