磨削温度三维分析建模  

Exploring 3D Analytical Modeling of Grinding Temperature

作　　者：吕长飞[1,2] 吴小玉[1] 郑继明[1,2] 

机构地区：[1]贵州师范大学机械与电气工程学院,贵阳550014 [2]贵州师范大学机械与控制仿真重点实验室,贵阳550014

出　　处：《机械科学与技术》2016年第6期918-923,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：贵州师范大学博士科研项目(11904-05032130023);贵州省科学技术基金项目(黔科合J字LKS[2013]36号);贵州省普通高等学校精密复合加工装备技术工程中心(黔教合KY字[2014]223)资助

摘　　要：基于瞬时温度分布和运动非稳定三维热传导微分方程,建立了磨削温度三维分析预测模型。对半无限固体热传导面上瞬时点热源的运动非稳定三维热传导微分方程求解,结合点热源热量计算式,把点热源按三角形分布进行累积叠加,得到的三维非稳态温度域积分方程。对单向导热三角形分布热源热量分布采用反向热传递按序算法得到磨削热量分布方程,用偏微分方程分别描述砂轮与工件及冷却液与工件交互作用时热传导情况,并考虑材料本身的热扩散,采用Gauss-Kronrod求积公式对积分方程进行数值计算,实现温度域的稳态解求解,建立磨削温度三维分析模型。将此模型与有限元模型进行对比,并通过实验进行了验证。Based on the transient temperature distribution and the differential equation of nonsteady-state threedimensional heat conduction,this paper establishes a 3D analytical model to predict grinding temperature. With the superposition of point source solution concerning the triangular heat source and the differential equation of nonsteady-state three-dimensional heat conduction in a moving semi-infinite solid,the paper obtains a threedimensional nonsteady-state temperature equation,wherein the interdependence among grinding wheel,workpiece and coolant were described by two variable functions in the boundary condition. The sequential algorithm for inverse heat transfer is used to determine heat flux distribution. The thermal diffusivity in material is also considered. The integrals in the differential equation for nonsteady-state temperature are numerically evaluated using the adaptive Gauss-Kronrod quadrature,the steady-state solution of the temperature field is calculated,and the 3D analytical model of grinding temperature is built. All these are well coincided with the finite element model and the experimental measurement results.

关 键 词：磨削温度 三维分析建模 非稳态方程 按序算法 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]