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Nonlinear analysis of chatter in turning process using dimensionless groups
Tavari, H ; Sharif University of Technology | 2015
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- Type of Document: Article
- DOI: 10.1007/s40430-014-0243-y
- Publisher: Springer Verlag , 2015
- Abstract:
- 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
- Keywords:
- Equations of motion ; Turning ; Approximate analytical solutions ; Chatter ; Dimensionless groups ; Dimensionless parameters ; Non-dimensional equations ; Nonlinear problems ; Orthogonal cutting ; Turning process ; Nonlinear analysis
- Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering ; Volume 37, Issue 4 , July , 2015 , Pages 1151-1162 ; 16785878 (ISSN)
- URL: http://link.springer.com/article/10.1007%2Fs40430-014-0243-y