面铣刀动态特性求解的等效模型研究
Research on Equivalent Modeling of Face Mills for Dynamic Prediction
为快速得到面铣刀的频响特性，针对其结构特点，将其按截面特性分成五段，每一段等效为空心圆柱，分别采用等面积法、等惯性矩法和等平均惯性矩法求解其等效直径。对面铣刀模型及其三种等效模型进行模态分析，对比前2阶横向振动固有频率和振型，发现固有频率误差均在5%以内，振型也符合。运用Timoshenko梁理论计算出等效模型的1阶弯曲振动固有频率，与面铣刀模型的模态分析结果误差在5%以内，说明等效模型的精度可以满足要求，其中等惯性矩法和等平均惯性矩法的精度较高。
机械设计、机械制图机械制造工艺机械学
机械制造面铣刀动态特性等效模型模态分析
杜超,谢振南,赵万华,张俊.面铣刀动态特性求解的等效模型研究[EB/OL].(2013-11-25)[2025-11-07].http://www.paper.edu.cn/releasepaper/content/201311-479.点此复制
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.
Mechanical ManufacturingFace MillDynamic CharacteristicsEquivalent ModelModal Analysis
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