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<p>This paper presents a study on the determination of the tool paths in manufacturing by external or internal 2D contour milling (using an end mill cutter as tool) of a cycloidal disc and a cycloidal ring used inside a cycloidal reducer in two versions: with rotary pins as gear teeth placed on stator (in gear with cycloidal disc) and with rotary pins placed on rotor (in gear with cycloidal ring). These tool paths should be described by the Cartesian coordinates of the points on the 2D closed trajectory of the tool axis. The 2D profiles of a cycloidal disc (or a cycloidal ring) in transverse section and an analytic geometric approach are used in order to find out these tool paths, having a shape of distorted epicycloids or hypocycloids. Even though this goal is simply solvable on CNC milling machines by cutting radius compensation, some particularities of 2D profiles for a cycloidal disc (or a cycloidal ring) impose a specific theoretical approach on this topic. Some algorithms for tool path detection were proposed, verified and validated by simulation in Matlab on both 2D profiles.</p>
</abstract>

This paper presents a study on the determination of the tool paths in manufacturing by external or internal 2D contour milling (using an end mill cutter as tool) of a cycloidal disc and a cycloidal ring used inside a cycloidal reducer in two versions: with rotary pins as gear teeth placed on stator (in gear with cycloidal disc) and with rotary pins placed on rotor (in gear with cycloidal ring). These tool paths should be described by the Cartesian coordinates of the points on the 2D closed trajectory of the tool axis. The 2D profiles of a cycloidal disc (or a cycloidal ring) in transverse section and an analytic geometric approach are used in order to find out these tool paths, having a shape of distorted epicycloids or hypocycloids. Even though this goal is simply solvable on CNC milling machines by cutting radius compensation, some particularities of 2D profiles for a cycloidal disc (or a cycloidal ring) impose a specific theoretical approach on this topic. Some algorithms for tool path detection were proposed, verified and validated by simulation in Matlab on both 2D profiles.

A Study on Tool Path Generation in 2D Contour Milling of Cycloidal Discs and Rings Used in Cycloidal Reducers

“Gheorghe Asachi” Technical University of Iaşi, Faculty of Machine Manufacturing and Industrial Management

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper presents a study on the determination of the tool paths in manufacturing by external or internal 2D contour milling (using an end mill cutter as...

A Study on Tool Path Generation in 2D Contour Milling of Cycloidal Discs and Rings Used in Cycloidal Reducers

Published Online: Jul 22, 2023

Page range: 19 - 35

Received: Feb 03, 2023

Accepted: Mar 04, 2023

DOI: https://doi.org/10.2478/bipcm-2023-0002

Keywords
Cycloidal reducer, cycloidal disc, cycloidal ring, 2D profile, 2D contour milling, tool path

© 2023 Mihăiţă Horodincă, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Study on Tool Path Generation in 2D Contour Milling of Cycloidal Discs and Rings Used in Cycloidal Reducers

Published Online: Jul 22, 2023

Page range: 19 - 35

Received: Feb 03, 2023

Accepted: Mar 04, 2023

DOI: https://doi.org/10.2478/bipcm-2023-0002

KeywordsCycloidal reducer, cycloidal disc, cycloidal ring, 2D profile, 2D contour milling, tool path

© 2023 Mihăiţă Horodincă, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Cycloidal reducer, cycloidal disc, cycloidal ring, 2D profile, 2D contour milling, tool path