中文摘要：

针对圆度误差测量过程中因干扰信号影响估计精度的问题,提出基于经验模态分解的圆度误差评定方法。圆度误差测量数据包含多种信号成分,其中圆度误差信息只包含于表面形状误差信号,表面粗糙度误差信号、表面波纹度信号及噪声信号为干扰成分。利用具有数据自适应性的经验模态分解对圆度测量信号进行分解,实现各类信号成分分离;采用信号波数作为各信号成分的分离指标,实现形状误差信号提取,并利用其估计结构圆度误差。通过数值仿真和实例分析验证方法的有效性。

英文摘要：

Aiming at the estimation accuracy problem caused by interference signal in the roundness error measurement process,a new roundness error evaluation method based on empirical mode decomposition is proposed. Roundness error measurement data include a variety of signal components,among which only the surface shape error signal contains roundness error information,while surface roughness error signal,surface waviness signal and noise signal all are interference components. With the help of empirical mode decomposition,the measurement data is separated to various types of signal component. Taking signal wave number as the separation indicator,the shape error component extraction is achieved,and structural roundness error estimation is also realized. A numerical example and an experimental example are presented to demonstrate the efficacy of the method.