中文摘要：

基于响应耦合子结构分析法预测了深孔内圆磨床主轴端点的频响函数。首先对磨床主轴进行子结构划分,计算各子结构自由状态下的频响函数矩阵,然后顺序刚性耦合各子结构的频响函数矩阵,对轴承支撑点使用结构修改法修改轴承约束下的已耦合子结构频响函数矩阵,直至耦合到最后一个子结构,得到主轴端点的频响函数。以某深孔内圆磨床为研究对象,分别基于该方法和有限元法,对其主轴端点的频响函数进行预测,并对其进行实验测试。实验及分析结果表明：该方法预测精度高于有限元分析方法预测精度、计算速度快,便于深孔内圆磨床主轴系统的结构优化。

英文摘要：

Based on RCSA, this paper predicted the frequency response function of the endpoint of a deep hole internal grinder spindle. At first, the method separated the model of grinder spindle into several subsections to calculate their free-state frequency response function （FRF） matrices, then rig- idly coupled the FRF matrices of each substructure sequentially, revised the FRF matrices of the cou- pled substructure with structural modification method at the support points of bearings, coupled till to the last substructure, then the FRF of the endpoint of grinder spindle was calculated.With a deep hole internal grinder spindle system as the research object, the paper predicted the FRF of the spindle endpoint through proposed method and finite element method, meanwhile a group of FRF data were collected by experiments.Experimental results indicate that this method, with higher prediction preci- sion and faster calculation speed, is better in the structure optimization of the deep hole internal grind- er spindle system.