A pole/zero cancellation approach to reducing forced vibration in end milling

Chao Yu Huang, Junz Jiunn-jyh Wang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

An analytical model for the forced vibration in an end milling process is derived and a criterion in selecting cutting parameters to reduce the forced vibration is presented in this paper. The analytic expression for the forced vibration due to the periodic milling force is obtained as the product of the Fourier transform of the milling force and the frequency response function of the structure dynamics. The pole/zero cancellation technique is then employed for reducing the forced vibration. Analysis shows that the suppression of forced vibration can be achieved by choosing cutting parameters so that one of the zeroes of the Fourier transform of the milling process function is near the pole of the structure dynamics. A design equation in terms of cutter geometry, axial depth of cut, spindle speed and structure resonant frequency is derived for the conditions when the forced vibration can be minimized. The presented analysis is illustrated through numerical simulation and verified by experimental results.

Original language English 601-610 10 International Journal of Machine Tools and Manufacture 50 7 https://doi.org/10.1016/j.ijmachtools.2010.03.011 Published - 2010 Jul 1

Fingerprint

Poles
Fourier transforms
Frequency response
Analytical models
Natural frequencies
Geometry
Computer simulation

All Science Journal Classification (ASJC) codes

• Mechanical Engineering
• Industrial and Manufacturing Engineering

Cite this

@article{e211dc211ee74ba0b4ea038cfb2fb7dd,
title = "A pole/zero cancellation approach to reducing forced vibration in end milling",
abstract = "An analytical model for the forced vibration in an end milling process is derived and a criterion in selecting cutting parameters to reduce the forced vibration is presented in this paper. The analytic expression for the forced vibration due to the periodic milling force is obtained as the product of the Fourier transform of the milling force and the frequency response function of the structure dynamics. The pole/zero cancellation technique is then employed for reducing the forced vibration. Analysis shows that the suppression of forced vibration can be achieved by choosing cutting parameters so that one of the zeroes of the Fourier transform of the milling process function is near the pole of the structure dynamics. A design equation in terms of cutter geometry, axial depth of cut, spindle speed and structure resonant frequency is derived for the conditions when the forced vibration can be minimized. The presented analysis is illustrated through numerical simulation and verified by experimental results.",
author = "Huang, {Chao Yu} and Wang, {Junz Jiunn-jyh}",
year = "2010",
month = "7",
day = "1",
doi = "10.1016/j.ijmachtools.2010.03.011",
language = "English",
volume = "50",
pages = "601--610",
journal = "International Journal of Machine Tools and Manufacture",
issn = "0890-6955",
publisher = "Elsevier Limited",
number = "7",

}

In: International Journal of Machine Tools and Manufacture, Vol. 50, No. 7, 01.07.2010, p. 601-610.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A pole/zero cancellation approach to reducing forced vibration in end milling

AU - Huang, Chao Yu

AU - Wang, Junz Jiunn-jyh

PY - 2010/7/1

Y1 - 2010/7/1

N2 - An analytical model for the forced vibration in an end milling process is derived and a criterion in selecting cutting parameters to reduce the forced vibration is presented in this paper. The analytic expression for the forced vibration due to the periodic milling force is obtained as the product of the Fourier transform of the milling force and the frequency response function of the structure dynamics. The pole/zero cancellation technique is then employed for reducing the forced vibration. Analysis shows that the suppression of forced vibration can be achieved by choosing cutting parameters so that one of the zeroes of the Fourier transform of the milling process function is near the pole of the structure dynamics. A design equation in terms of cutter geometry, axial depth of cut, spindle speed and structure resonant frequency is derived for the conditions when the forced vibration can be minimized. The presented analysis is illustrated through numerical simulation and verified by experimental results.

AB - An analytical model for the forced vibration in an end milling process is derived and a criterion in selecting cutting parameters to reduce the forced vibration is presented in this paper. The analytic expression for the forced vibration due to the periodic milling force is obtained as the product of the Fourier transform of the milling force and the frequency response function of the structure dynamics. The pole/zero cancellation technique is then employed for reducing the forced vibration. Analysis shows that the suppression of forced vibration can be achieved by choosing cutting parameters so that one of the zeroes of the Fourier transform of the milling process function is near the pole of the structure dynamics. A design equation in terms of cutter geometry, axial depth of cut, spindle speed and structure resonant frequency is derived for the conditions when the forced vibration can be minimized. The presented analysis is illustrated through numerical simulation and verified by experimental results.

UR - http://www.scopus.com/inward/record.url?scp=77955228911&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955228911&partnerID=8YFLogxK

U2 - 10.1016/j.ijmachtools.2010.03.011

DO - 10.1016/j.ijmachtools.2010.03.011

M3 - Article

VL - 50

SP - 601

EP - 610

JO - International Journal of Machine Tools and Manufacture

JF - International Journal of Machine Tools and Manufacture

SN - 0890-6955

IS - 7

ER -