外圆磨削温度仿真建模  

Simulation and Modelling of Cylindrical Grinding Temperature

作　　者：吕长飞[1,2] 李郝林[3] 

机构地区：[1]贵州师范大学机械与电气工程学院,贵阳550014 [2]上海理工大学光电信息与计算机工程学院,上海200093 [3]上海理工大学机械工程学院,上海200093

出　　处：《系统仿真学报》2013年第7期1663-1667,1674,共6页Journal of System Simulation

基　　金：国家重大专项(2009ZX04002-071-03);上海市科技项目(10DZ2292100);贵州师范大学博士科研项目

摘　　要：在考虑砂轮、工件和冷却液交互作用及磨削热量分布条件下,基于外圆磨削过程热量对流扩散方程,对外圆磨削工件温度进行了建模,建立磨削工件温度微积分方程,实现外圆磨削温度数学建模。采用反向热传递按序算法得到磨削热量分布方程,用偏微分方程二维边界条件函数表示砂轮、工件和冷却液交互作用,此边界条件为磨削加工参数及磨削热量分布的函数,通过利用拉普拉斯变换及反变换、傅里叶变换及反变换、格林函数和富比尼定理对热量对流扩散方程进行推导,分别得出未考虑磨削液和环境影响以及考虑磨削液和环境时磨削工件温度微积分方程,实现磨削工件表面温度和磨削工件温升预测,建立磨削工件表面温度模型。将此模型与三角形热源模型、圆弧热源模型进行了对比,并采用热电偶实验进行了验证。The workpiece temperature field produced during the grinding process were modeled. The proposed model was given in terms of a two-dimensional boundary-value problem, where the interdependence among the grinding wheel, the workpiece and the coolant was described by two variable functions in the boundary condition, and the sequential algorithm of the inverse heat transfer was used for determining the heat flux distribution. An explicit integral form solution was constructed using the Laplace and Fourier transforms, the Green＇s function method, and the Fubini＇s theorem, to obtaine both the partial differential equations under the condition of considering the effects of the grinding fluid and the environment on the heat-conducting path and not considered. The simulated result of the model was compared with the triangle heat source model and the circular heat source model. All these are well coincided with the thermocouple measurement results.

关 键 词：外圆磨削温度 数学建模 偏微分方程 按序算法 格林函数 富比尼定理 

分 类 号：TP23[自动化与计算机技术—检测技术与自动化装置]