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- Title
An improved numerical integration method for prediction of milling stability using the Lagrange-Simpson interpolation scheme.
- Authors
Xia, Yan; Wan, Yi; Su, Guosheng; Du, Jin; Zhang, Peirong; Xu, Chonghai
- Abstract
The stability prediction is usually used to avoid the unstable machining in milling process. According to the Lagrange-Simpson hybrid interpolation scheme, this paper improves a numerical integration method (NIM) to perform the milling chatter prediction accurately and efficiently. Firstly, the higher-order numerical integral formulas (NIFs) are constructed based on the Lagrange polynomial. Thus, the third-order and fourth-order NIMs are built and investigated respectively. Then, to improve the calculated performance of the NIMs, the Simpson scheme is introduced to decrease the local discretization error. Finally, the comparisons among the built NIMs and the existing discretization methods are carried out by calculating the convergence rate and the stability boundaries. Compared to the third-order NIM and the third-order full-discretization method, the proposed second-order Lagrange-Simpson NIM shows the better computational performance.
- Subjects
INTERPOLATION; DISCRETIZATION methods; NUMERICAL integration; FORECASTING; MILLING-machines
- Publication
International Journal of Advanced Manufacturing Technology, 2022, Vol 120, Issue 11/12, p8105
- ISSN
0268-3768
- Publication type
Article
- DOI
10.1007/s00170-022-09245-6