针对机床电主轴系统温度与热误差普遍存在的非线性等建模难题
提出了一种卷积建模方法。通过传热理论分析与实验数据相结合的方式
对电主轴系统内部测点温度与热源、换热边界条件的复杂关系进行了有效简化
建立了热源温度与测点温度间的微分方程
并给出了响应函数。通过粒子群算法进行响应函数参数的优化
使用热源测点温度变化量与响应函数的卷积积分来估算电主轴系统的各部分温度
并在此基础上
通过卷积参数优化建立了电主轴y方向热误差模型。结果表明
在电主轴系统热特性非线性最严重的运行初始阶段和升降温拐点处
卷积模型比线性模型更能描述电主轴的温度和热变形规律
温度拟合效果在开机初始200 min内最高提升了83.9%
y方向热误差的拟合误差在前100 min由44.07%提高至97.1%。该研究为电主轴和机床温度与热误差建模提供了一种新的有效思路。
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