基于有限差分模型的磨削弧区流场动压力数值分析  

Numerical analysis on hydrodynamic pressure in grinding contact zone

作　　者：茅暑杰[1] 徐九华[1] 赵正彩[1] 傅玉灿[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《金刚石与磨料磨具工程》2017年第1期19-24,共6页Diamond & Abrasives Engineering

基　　金：国家自然科学基金(51475233);江苏省研究生创新项目(CXLX13_139);研究生创新基地(实验室)开放基金(kfjj20150512)

摘　　要：磨削弧区动压力对通过磨削区磨削液的有效流量、润滑和冷却作用有重要影响。本研究基于流体动压理论,建立了磨削弧区的动压力分布数学模型,将微分方程简化至近似泊松方程形式后,采用有限差分法将连续方程离散化,得出了磨削区动压力的数值解,并提出了迭代优化算法,提高了计算效率。将砂轮特性参数纳入数学模型之中,可根据砂轮材质、砂轮与工件间隙、砂轮转速等参数预报磨削弧区的磨削液动压力分布。在此理论模型基础上,进行了验证实验,证明模型的科学性。结果表明:通过输入砂轮各项参数,该模型可以快速、准确地预报动压力的分布,为磨削加工提供参考。In the grinding process,hydrodynamic pressure has great influence on flow rate,lubrication and cooling behavior of the coolant lubricate.Based on hydrodynamic lubrication theory,mathematical model of the hydrodynamic pressure in grinding contact zone is built.After simplifying the differential equation into Poisson equation,numerical solution of the hydrodynamic pressure is presented by finite difference method and optimized in efficiency by iterative model.Characteristics of grinding wheel are also considered into the mathematical model based on which the hydrodynamic pressure could be estimated according to the wheel texture,the gap between wheel and workpiece,and the cutting speed.The experimental results correspond to the mathematical results and show that this mathematical model can be used for hydrodynamic pressure prediction and provide reference for the grinding process.

关 键 词：流体动压力 磨削 泊松方程 有限差分法 

分 类 号：TG58[金属学及工艺—金属切削加工及机床]