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A Mathematical Model to Describe the Inner Contour of Moineau Stators.
- Source :
-
Journal of Manufacturing Science & Engineering . Apr2021, Vol. 143 Issue 4, p1-11. 11p. - Publication Year :
- 2021
-
Abstract
- Bore holes with a large length to diameter ratio of up to l/d = 100 are typically produced using the single-tube deep hole drilling method also named BTA (Boring and Trepanning Association) deep hole drilling method. However, there are various technical applications requiring deep, complex, epitrochoid-similar and helical inner contours, such as stators used in Moineau motors and pumps. According to the current state of the art, epitrochoid-similar contours for small diameters with large drilling depths can only be produced using a special machining process which is referred to a chamber-boring process. In this paper, a developed mathematical model will be presented that describes the epitrochoid-similar contour exactly. This allows the determination of the position-dependent speed and acceleration of the tool, which are necessary for designing the joints and components of the tool system. In addition, this mathematical model can be used for a subsequent Laplace-transformation, so that could be used for a further optimization of the process dynamic in the future. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL models
*PROCESS optimization
*PRODUCTION engineering
*MACHINING
Subjects
Details
- Language :
- English
- ISSN :
- 10871357
- Volume :
- 143
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Manufacturing Science & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 149302822
- Full Text :
- https://doi.org/10.1115/1.4048437