ABSTRACT

In this work, an analytical solution to temperature field distribution in a finite cylinder body caused by constant-strength, periodic-motion heat sources is obtained. Two heat source models, i.e. single and multiple, are proposed. The analytical solution is applied in calculating the temperature rise of a Z-direction feeding ball screw. The plotted temperature rise curves show that the error of the two models is 0.5% and they are both reasonable for theoretical calculation as they show the same trend as a test value curve. The maximum error of surplus temperature in the steady state between the calculated values and test results of the single heat source model is 14.1%, which is acceptable in engineering applications.

摘要

在这项工作中，获得了由恒定强度、周期运动热源引起的有限圆柱体内温度场分布的解析解。提出了两种热源模型，即单热源模型和多热源模型。该解析解用于计算Z向进给滚珠丝杠的温升。绘制的温升曲线表明，两种模型的误差均为0.5%，它们与测试值曲线的趋势相同，对于理论计算来说都是合理的。单热源模型计算值与试验结果的稳态余温最大误差为14.1%，在工程应用中是可以接受的。