韩见,王立平,余联庆.基于表面换热的机床主轴热误差有限元建模研究[J].高技术通讯(中文),2012,22(1):55~60 |
基于表面换热的机床主轴热误差有限元建模研究 |
Heat exchange based finite element analysis of thermal errors in machine spindles |
修订日期:2010-06-10 |
DOI: |
中文关键词: 机床, 主轴系统, 有限元法, 瞬态温度场 |
英文关键词: machine tool, spindle system, finite element method, transient temperature field |
基金项目:863计划(2007AA042003)和国家自然科学基金(50775125)资助项目 |
作者 | 单位 | 韩见 | 清华大学精密仪器与机械学系北京 | 王立平 | 清华大学精密仪器与机械学系北京 | 余联庆 | 清华大学精密仪器与机械学系北京 |
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中文摘要: |
在分析机床主轴的传热、散热机理的基础上,研究了机床主轴的热特性。首先将表面所交换的热量等效折算成整个截面上的体积热源,考虑主轴的热弹性有限元关系,建立了主轴系统热瞬态传热学的本构方程,并推导出节点温度的矩阵方程。然后分析了主轴的散热条件和边界条件,利用瞬态温度场及热弹性耦合场模型,得到主轴的温度变化过程。最后分析了各参数对热伸长和稳态时间的灵敏度影响。此研究为优化主轴结构设计、减少发热提供了理论指导,并提出了改善主轴热特性的措施,为后续的误差补偿研究奠定了基础。 |
英文摘要: |
In this paper, the thermal characteristics of machine spindle systems are investigated based on the analyses of the mechanism of heat transfer and heat dissipation of a spindle. The heat exchanged through the surface is converted into the equivalent volume of heat source, and then, considering the coupling of elastic deformation and temperature, the heat conduction of a spindle system is modeled, in the meantime the matrix equation of nodes is deduced. Based on the numerical results, an iterative model of the spindle temperature and thermal deformation is acquired under the actions of thermal loads using the finite element analysis. The static/transient temperature field is calculated using the software. At last the impact of these parameters on the characteristics of thermal displacement and steady balance time are analyzed according to the results. The research results provide a theoretical foundation for optimizing spindle designs and the error compensation of a machine tool. |
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