A Study of 2D Profile for a Cycloidal Ring Used in a Cycloidal Reducer

Horodincă, Mihăiţă; Bumbu, Eduard Neculai; Chitariu, Dragoș Florin; Munteanu, Adriana; Chifan, Florin; Frigura, George Iulian

doi:10.2478/bipcm-2022-0038

Cited by 2 publications

(3 citation statements)

References 6 publications

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“…By running the calculation program, the theoretical profile of the cycloid, the curve equidistant to this profile and the profile of the generating rack gear tool were obtained, Figure 8. The enwrapping condition will have the specific form given by the Equation (24). To solve this equation, the "fzero" function from the Octave program is used [30].…”

Section: Numerical Application For Profiling the Hob Mill For Process...mentioning

confidence: 99%

“…Table 2 shows the coordinates of the points belonging to the profile to be generated and the coordinates of the points belonging to the profile of the generator rack gear tool. The enwrapping condition will have the specific form given by the Equation (24). To solve this equation, the "fzero" function from the Octave program is used [30].…”

Section: Numerical Application For Profiling the Hob Mill For Process...mentioning

confidence: 99%

“…In this paper, the advantages of the two alternatives are combined, an algorithm for the generation of surfaces known in analytical form being imagined and presented. The algorithm implies the determination of the active surface of the generating rack gear, which is reciprocally enwrapping to the active surface of the cycloidal disk [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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The Profiling of Hob Mill Used for Generating a Cycloidal Reducer’s Disk

2023

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This paper presents the profiling of the hob mill designed to generate the active surface of the cam of a cycloidal reducer. The algorithm allows determining the active surface of the generating rack gear, which is reciprocally enveloping with the active surface of the cycloidal disk. The novelty of the algorithm, based on the determination of the intermediate surface, consists in the fact that an innovative method of determining this surface is used, called the “virtual pole” method. The method allows determining the enwrapping curve of an ordered curl of surfaces, generated in the rolling movement of two conjugated centrodes. Using the “virtual pole” method, the calculation time for tool profiling is significantly reduced and the disadvantage of the resulting error, small enough to be neglected from a technical point of view, is fully compensated by this reduction in calculation time.

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Section: Numerical Application For Profiling the Hob Mill For Process...mentioning

confidence: 99%

Section: Numerical Application For Profiling the Hob Mill For Process...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Profiling of Hob Mill Used for Generating a Cycloidal Reducer’s Disk

2023

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

Horodincă

2023

Bulletin of the Polytechnic Institute of Iași. Machine Constructions Section

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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.

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A Study of 2D Profile for a Cycloidal Ring Used in a Cycloidal Reducer

Cited by 2 publications

References 6 publications

The Profiling of Hob Mill Used for Generating a Cycloidal Reducer’s Disk

The Profiling of Hob Mill Used for Generating a Cycloidal Reducer’s Disk

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

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