Third-order least squares modelling of milling state term for improved computation of stability boundaries
| Autor: | C.G. Ozoegwu, S.N. Omenyi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Production and Manufacturing Research: An Open Access Journal, Vol 4, Iss 1, Pp 46-64 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2169-3277 21693277 |
| DOI: | 10.1080/21693277.2016.1194778 |
| Popis: | The general least squares model for milling process state term is presented. A discrete map for milling stability analysis that is based on the third-order case of the presented general least squares milling state term model is first studied and compared with its third-order counterpart that is based on the interpolation theory. Both numerical rate of convergence and chatter stability results of the two maps are compared using the single degree of freedom (1DOF) milling model. The numerical rate of convergence of the presented third-order model is also studied using the two degree of freedom (2DOF) milling process model. Comparison gave that stability results from the two maps agree closely but the presented map demonstrated reduction in number of needed calculations leading to about 30% savings in computational time (CT). It is seen in earlier works that accuracy of milling stability analysis using the full-discretization method rises from first-order theory to second-order theory and continues to rise to the third-order theory. The present work confirms this trend. In conclusion, the method presented in this work will enable fast and accurate computation of stability diagrams for use by machinists. |
| Databáze: | Directory of Open Access Journals |
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