Research on Equivalent Modeling of Face Mills for Dynamic Prediction

• 1、State Key Lab. for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Abstract：In order to rapidly predict the dynamic characteristics, a face mill was divided into five parts based on its cross-section characteristics. Each part was modeled as a hollow cylinder, and three equivalent models based on the principle of equal area of cross-section (EAC), equal area moment of inertia (EAMI) and equal average area moment of inertia (EAAMI) were proposed to derive the diameters of each hollow cylinder. Modal analysis of the face mill and its equivalent models show that the relative errors of the first two modes of lateral vibration were within 5%, and that the mode shapes were quite close. Timoshenko beam theory was used to solve the natural frequencies of the first mode of flexural vibration for equivalent models. Compared with the results of modal analysis of the face mill, it was found that the relative errors were less than 5%。 It was also concluded that EAMI and EAAMI can obtain models with better accuracy.

Keywords： Mechanical Manufacturing Face Mill Dynamic Characteristics Equivalent Model Modal Analysis