A semi-analytical method for stability analysis of milling thin-walled plate

A semi-analytical method for stability analysis of milling thin-walled plate In this paper, a partial differential difference equation is setup to describe the dynamics of a thin-walled plate during milling processes. A semi-analytical method is developed to study the stability, with the emphasis on the varying dynamics and higher-order vibration modes. In this method, the thin-walled plate is divided into a series of subdomains to accommodate the computing requirements of higher-order vibration modes. The classical Kirchhoff plate theory is employed to formulate the theoretical model. Continuity conditions on the interface between two adjacent subdomains are imposed by means of a modified variational principle. The expressions of the transfer functions for each vibration mode are derived at an arbitrary point in the plate. Based on these expressions, the stability limit of the plate is determined by using a frequency method. It is found that the proposed method has a high computational efficiency for the stability analysis of the plate in milling process. The effect of higher-order vibration modes on the stability of the plate are examined, and the physical insights into the chatter in milling process are also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

A semi-analytical method for stability analysis of milling thin-walled plate

Loading next page...
 
/lp/springer_journal/a-semi-analytical-method-for-stability-analysis-of-milling-thin-walled-f00ge7pJu5
Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media Dordrecht
Subject
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0025-6455
eISSN
1572-9648
D.O.I.
10.1007/s11012-016-0607-8
Publisher site
See Article on Publisher Site

Abstract

In this paper, a partial differential difference equation is setup to describe the dynamics of a thin-walled plate during milling processes. A semi-analytical method is developed to study the stability, with the emphasis on the varying dynamics and higher-order vibration modes. In this method, the thin-walled plate is divided into a series of subdomains to accommodate the computing requirements of higher-order vibration modes. The classical Kirchhoff plate theory is employed to formulate the theoretical model. Continuity conditions on the interface between two adjacent subdomains are imposed by means of a modified variational principle. The expressions of the transfer functions for each vibration mode are derived at an arbitrary point in the plate. Based on these expressions, the stability limit of the plate is determined by using a frequency method. It is found that the proposed method has a high computational efficiency for the stability analysis of the plate in milling process. The effect of higher-order vibration modes on the stability of the plate are examined, and the physical insights into the chatter in milling process are also discussed.

Journal

MeccanicaSpringer Journals

Published: Jan 18, 2017

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off