Nonlinear analysis of chatter in turning process using dimensionless groups

A new 3-D nonlinear model of chatter vibration in turning process is presented in this paper. The workpiece is modeled as a rotating clamped-free beam which is excited by cutting forces. π -Buckingham theory is used to extract dimensionless parameters for this problem. Using these parameters, non-di...

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Bibliographic Details
Published inJournal of the Brazilian Society of Mechanical Sciences and Engineering Vol. 37; no. 4; pp. 1151 - 1162
Main Authors Tavari, Hojjatollah, Jalili, Mohammad Mahdi, Movahhedy, Mohammad Reza
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2015
Subjects
Engineering
Mechanical Engineering
Technical Paper
Dimensionless parameters
Turning process
Orthogonal cutting
Chatter
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Summary:A new 3-D nonlinear model of chatter vibration in turning process is presented in this paper. The workpiece is modeled as a rotating clamped-free beam which is excited by cutting forces. π -Buckingham theory is used to extract dimensionless parameters for this problem. Using these parameters, non-dimensional equations of motion are developed. An approximate analytical solution of the nonlinear problem is obtained. A study of the influence of different parameters on the stability results is developed. Using these results, turning velocity intervals for stable and unstable cuts are determined.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-014-0243-y