# Angle and frequency domain force models for a roughing end mill with a sinusoidal edge profile

J. J. Junz Wang, C. S. Yang

7 引文 (Scopus)

### 摘要

This paper presents analytical force models for a cylindrical roughing end mill with a sinusoidal edge profile in both the angle and frequency domains. Starting from a general expression for the chip thickness model, it is shown that under normal feed conditions, there exists only one cutting point at any axial position for an N-flute roughing end mill with its chip thickness N times that of a regular end mill, while the effective axial depth of cut is only 1/ Nth that of a regular end mill. Based on the chip load model, the analytical force model is subsequently established through convolution integration of the elemental cutting function with the cutting edge geometry function in the angular domain, followed by Fourier analysis to obtain the frequency domain force model. Distinctive features of the milling forces for a roughing end mill are illustrated and compared with a regular end mill in the frequency as well as in the angular domain. The effects of the geometric parameters of a roughing end mill on the chip load distribution and on the features of milling force are discussed. The force models in both the frequency and angular domains are finally verified through milling experiments.

原文 English 1509-1520 12 International Journal of Machine Tools and Manufacture 43 14 https://doi.org/10.1016/S0890-6955(03)00163-9 Published - 2003 十一月 1

Fourier analysis
Convolution
Geometry
Experiments

### All Science Journal Classification (ASJC) codes

• Mechanical Engineering
• Industrial and Manufacturing Engineering

### 引用此文

title = "Angle and frequency domain force models for a roughing end mill with a sinusoidal edge profile",
abstract = "This paper presents analytical force models for a cylindrical roughing end mill with a sinusoidal edge profile in both the angle and frequency domains. Starting from a general expression for the chip thickness model, it is shown that under normal feed conditions, there exists only one cutting point at any axial position for an N-flute roughing end mill with its chip thickness N times that of a regular end mill, while the effective axial depth of cut is only 1/ Nth that of a regular end mill. Based on the chip load model, the analytical force model is subsequently established through convolution integration of the elemental cutting function with the cutting edge geometry function in the angular domain, followed by Fourier analysis to obtain the frequency domain force model. Distinctive features of the milling forces for a roughing end mill are illustrated and compared with a regular end mill in the frequency as well as in the angular domain. The effects of the geometric parameters of a roughing end mill on the chip load distribution and on the features of milling force are discussed. The force models in both the frequency and angular domains are finally verified through milling experiments.",
author = "{Junz Wang}, {J. J.} and Yang, {C. S.}",
year = "2003",
month = "11",
day = "1",
doi = "10.1016/S0890-6955(03)00163-9",
language = "English",
volume = "43",
pages = "1509--1520",
journal = "International Journal of Machine Tools and Manufacture",
issn = "0890-6955",
publisher = "Elsevier Limited",
number = "14",

}

TY - JOUR

T1 - Angle and frequency domain force models for a roughing end mill with a sinusoidal edge profile

AU - Junz Wang, J. J.

AU - Yang, C. S.

PY - 2003/11/1

Y1 - 2003/11/1

N2 - This paper presents analytical force models for a cylindrical roughing end mill with a sinusoidal edge profile in both the angle and frequency domains. Starting from a general expression for the chip thickness model, it is shown that under normal feed conditions, there exists only one cutting point at any axial position for an N-flute roughing end mill with its chip thickness N times that of a regular end mill, while the effective axial depth of cut is only 1/ Nth that of a regular end mill. Based on the chip load model, the analytical force model is subsequently established through convolution integration of the elemental cutting function with the cutting edge geometry function in the angular domain, followed by Fourier analysis to obtain the frequency domain force model. Distinctive features of the milling forces for a roughing end mill are illustrated and compared with a regular end mill in the frequency as well as in the angular domain. The effects of the geometric parameters of a roughing end mill on the chip load distribution and on the features of milling force are discussed. The force models in both the frequency and angular domains are finally verified through milling experiments.

AB - This paper presents analytical force models for a cylindrical roughing end mill with a sinusoidal edge profile in both the angle and frequency domains. Starting from a general expression for the chip thickness model, it is shown that under normal feed conditions, there exists only one cutting point at any axial position for an N-flute roughing end mill with its chip thickness N times that of a regular end mill, while the effective axial depth of cut is only 1/ Nth that of a regular end mill. Based on the chip load model, the analytical force model is subsequently established through convolution integration of the elemental cutting function with the cutting edge geometry function in the angular domain, followed by Fourier analysis to obtain the frequency domain force model. Distinctive features of the milling forces for a roughing end mill are illustrated and compared with a regular end mill in the frequency as well as in the angular domain. The effects of the geometric parameters of a roughing end mill on the chip load distribution and on the features of milling force are discussed. The force models in both the frequency and angular domains are finally verified through milling experiments.

UR - http://www.scopus.com/inward/record.url?scp=0141681186&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141681186&partnerID=8YFLogxK

U2 - 10.1016/S0890-6955(03)00163-9

DO - 10.1016/S0890-6955(03)00163-9

M3 - Article

AN - SCOPUS:0141681186

VL - 43

SP - 1509

EP - 1520

JO - International Journal of Machine Tools and Manufacture

JF - International Journal of Machine Tools and Manufacture

SN - 0890-6955

IS - 14

ER -