Accurate prediction of the onset of chatter is difficult in designing and operating a rolling mill. Both the lack of precise rolling process models and analytical methods for the investigation of mill stability have forced designers and users to rely on experience and trial and error, which are time
Analysis of the Influence of Mill Helix Angle on Chatter Stability
✍ Scribed by M. Zatarain; J. Muñoa; G. Peigné; T. Insperger
- Publisher
- International Academy for Production Engineering
- Year
- 2006
- Tongue
- English
- Weight
- 481 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0007-8506
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✦ Synopsis
Current methods for estimating chatter stability limits for milling do not consider the influence of the helix angle and the consequent phase lag between the forces appearing at different sections of the mill. Budak and Altintas' multifrequency solution is extended to include the helix effect, and results are compared with results of semi-discretization and experiments. As a conclusion, the helix has an important influence on the areas of added lobes (flip lobes), while the influence on the traditional lobes is negligible. Flip lobes become closed curves separated by horizontal lines where the depth of cut equals a multiple of the helix pitch.
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We consider theoretical aspects of reactions that form base pairs in a double helix. The equilibrium constant for such reactions depends on the probability of finding the two bases in the correct orientation for pairing. This probability can be expressed in terms of the spatial and angular distribut