Helisel Bir Yörüngede Hareket Eden Dairesel Paraboloit Parmak Frezenin Süpürme Hacmi

Year 2022, Volume: 34 Issue: 2, 337 - 341, 30.06.2022

Ahmet Doğrusadık

https://doi.org/10.7240/jeps.1080386

Abstract

Talaşlı imalat yöntemlerini kullanarak tek pasoda karmaşık parça geometrileri elde etmek için, geleneksel olmayan geometrilere sahip takımların kullanılması önemlidir. Dairesel paraboloit, bir parabolün döndürülmesiyle elde edilebilen katı bir cisimdir. Bir parmak frezenin süpürme hacmi, takım hareket ettikçe üzerindeki tüm noktaların her an için birleştirilmesi olarak tanımlanabilir ve bunun elde edilmesi gerçek bir talaşlı imalat işleminden önce işlenmiş parça geometrisini belirlemek için bir zorunluluktur. Takımın süpürme hacminin türetilmesinden sonra, işlenmiş parça geometrisi takımın süpürme hacminin ilk iş parçasının hacminden çıkarılmasıyla elde edilir. Ancak takım süpürme hacminin elde edilmesi basit değildir. Bu çalışmada, iyi tanımlanmış ve kısıtlanmış takım geometrisi ve takım yolu kullanılarak işlenmiş parça üzerindeki tüm noktaları elde etmek için analitik bir model sunulmuştur. Modelde takımın helisel yörünge boyunca hareket ederken anlık kesitini gözlemlemek için vida ekseninden geçen bir düzlem kullanılmıştır. Bu düzlemde takımın anlık kesitleri üst üste getirilerek, son kesit elde edilmiştir. Vida ekseninden geçen tüm kesitler özdeş olduğundan, yöntem işlenmiş parça yüzeyi üzerindeki noktaların kümesini vermektedir. Modeli doğrulamak için bilgisayar destekli tasarım programı kullanılmıştır.

Keywords

Frezeleme, Dairesel paraboloit parmak freze, Helisel yörünge, Süpürme hacmi

The Swept Volume of a Circular Paraboloid End Mill Moving Along a Helical Path

Abstract

To obtain complex part geometries at one pass using machining processes, it is important to employ the tools with non-conventional geometries. A circular paraboloid is a solid of revolution, which can be obtained by rotating a parabola. The swept volume of an end mill can be defined as the unification of all sets of points on the tool for every instant as it moves, and its derivation is an obligation to determine the machined part geometry prior to an actual machining process. After derivation of the swept volume of the tool, machined part geometry is obtained by subtracting the swept volume of the tool from the volume of the initial workpiece. However, derivation of the swept volume of the tool is not a straightforward task. In this work, an analytical model was introduced to derive a complete set of points on the machined part by means of well-defined and constrained tool geometry and tool path. In the model, a plane that passes through the screw axis was used to observe the instant cross-section of the tool as it moves along the helical path. By overlapping the instant cross-sections of the tool in the plane, the final cross-section was derived. Since all cross-sections that pass through the screw axis are identical, the method gives an entire set of points on the machined surface. To validate the model, a computer-aided design program was utilized.

Keywords

Milling, Circular paraboloid end mill, Helical path, Swept volume

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