基于Timoshenko梁理论的微细立铣刀动力学建模

方泽平;王西彬;刘志兵;陈明;徐宗伟

振动与冲击 ›› 2014, Vol. 33 ›› Issue (23) : 111-115.

PDF(1708 KB)
PDF(1708 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (23) : 111-115.
论文

基于Timoshenko梁理论的微细立铣刀动力学建模

  • 方泽平1,王西彬1,刘志兵1,陈明2,徐宗伟3
作者信息 +

Dynamic modeling of micro-endmill based on Timoshenko beam theory

  • FANG Ze-ping1,WANG Xi-bin1,LIU Zhi-bing1,CHEN Ming2,XU Zong-wei3
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文章历史 +

摘要

应用Timoshenko梁理论综合考虑了微细立铣刀特殊结构及其高转速工况引起的剪切效应和惯性效应,建立了微细立铣刀悬伸部分的动力学模型;分析了所建立的模型的收敛性问题,通过试验验证了模型的准确性,并与欧拉梁理论计算结果和有限元软件仿真结果比较,证明了模型的适用性;利用建立的微细立铣刀动力学模型,研究了微细立铣刀刀头直径、刀头部分长径比和刀颈半锥角等刀具结构参数对刀具固有频率的影响。模型可用于微细立铣刀的参数化设计和优化,改善其动力学特性。

Abstract

A dynamic model for the over-hang part of the micro-endmill is proposed, which comprehensively considered the shear deformations and rotary inertia effect arising from the nature of the micro-endmill by using the theory of Timoshenko beam. The convergence behavior of the built model is analysed, and its accuracy is verified by experiment, and the applicability of the model is proved by comparing with the calculated results from finite element method and the Euler beam theory. Based on the developed model, the effect of the tool tip diameter, tip section aspect ratio and semi-taper angle on the natural frequencies of micro-endmill are studied. The proposed model enables better parametric design and optimization of micro-endmill for excellent dynamic performance.

关键词

微细立铣刀 / 动力学建模 / Timoshenko梁 / 固有频率

Key words

Micro-endmill / Dynamic modeling / Timoshenko beam / Natural frequency

引用本文

导出引用
方泽平;王西彬;刘志兵;陈明;徐宗伟. 基于Timoshenko梁理论的微细立铣刀动力学建模[J]. 振动与冲击, 2014, 33(23): 111-115
FANG Ze-ping;WANG Xi-bin;LIU Zhi-bing;CHEN Ming;XU Zong-wei. Dynamic modeling of micro-endmill based on Timoshenko beam theory[J]. Journal of Vibration and Shock, 2014, 33(23): 111-115

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