Abstract:The aim of this publication is to show how to integrate the designing process of straight bevel gears into a computer software so it can be further used for making the three-dimensional (CAD) model of the gear pair. During meshing the driven and the driving gears engage gradually so contact points can be mathematically determined between the element pairs according to the developed coordinate system's arrangement. With my-developed computer software, I designed a certain bevel gear pair having straight teeth. … Show more
“…The worm surface is generated by such cutting tool which has straight-lined blade. This cutting edge is situated in the axial section of the worm [4,6,7,20,26,27,28]. The generating lines are in coordinate system Cp, which is connected to the edge of the tool.…”
Section: Generation-and the Geometry Of Archimedean Wormsmentioning
confidence: 99%
“…The generating lines are in coordinate system Cp, which is connected to the edge of the tool. This coordinate system does rotational and linear motion at the same time, which generate helical surface of the worm (Figure 1) [4,6,7,20,26,27,28]. The transformation matrix between the C0 and C1R systems is: Based on Figure 1, the normal unit vector is [7]:…”
Section: Generation-and the Geometry Of Archimedean Wormsmentioning
confidence: 99%
“…Each connected teeth are analyzed. The material type of the elements is structural steel [28]. Four coordinate systems are needed for the analysis: m one rotational coordinate system for the worm, one rotational coordinate system for the worm wheel, two coordinate systems for the analyzed tooth connection (linear and normal system).…”
Section: Analyis Of the Contact Surfaces Of The Worm Wheel By Tcamentioning
confidence: 99%
“…The normal stress is interpreted perpendicularly to the surface of the worm wheel [19,28]. We analyze the average stress results and the geometrical shape of the impressions on the surfaces of the worm wheels for each connected tooth.…”
With the knowledge of the recommendations from reference literatures - six types of Archimedean worm gear drives were designed with the modification of the axial module. After that computer aided models were generated. These pairs were loaded by the same torque to analyse the mechanical parameters on the tooth contact zone. Due to the geometrical establishment, three teeth are connected with the worm surface at the same time, that is why these teeth are analysed. Polygon method was used to approach the kinematical impression on the worm wheel surface. As a result, we were able to define the area- and perimeter percentages of these impressions on the worm wheel surface for each tooth. We also determined the correlation between the axial module and the analysed mechanical parameters supposing average values on the contact surfaces.
“…The worm surface is generated by such cutting tool which has straight-lined blade. This cutting edge is situated in the axial section of the worm [4,6,7,20,26,27,28]. The generating lines are in coordinate system Cp, which is connected to the edge of the tool.…”
Section: Generation-and the Geometry Of Archimedean Wormsmentioning
confidence: 99%
“…The generating lines are in coordinate system Cp, which is connected to the edge of the tool. This coordinate system does rotational and linear motion at the same time, which generate helical surface of the worm (Figure 1) [4,6,7,20,26,27,28]. The transformation matrix between the C0 and C1R systems is: Based on Figure 1, the normal unit vector is [7]:…”
Section: Generation-and the Geometry Of Archimedean Wormsmentioning
confidence: 99%
“…Each connected teeth are analyzed. The material type of the elements is structural steel [28]. Four coordinate systems are needed for the analysis: m one rotational coordinate system for the worm, one rotational coordinate system for the worm wheel, two coordinate systems for the analyzed tooth connection (linear and normal system).…”
Section: Analyis Of the Contact Surfaces Of The Worm Wheel By Tcamentioning
confidence: 99%
“…The normal stress is interpreted perpendicularly to the surface of the worm wheel [19,28]. We analyze the average stress results and the geometrical shape of the impressions on the surfaces of the worm wheels for each connected tooth.…”
With the knowledge of the recommendations from reference literatures - six types of Archimedean worm gear drives were designed with the modification of the axial module. After that computer aided models were generated. These pairs were loaded by the same torque to analyse the mechanical parameters on the tooth contact zone. Due to the geometrical establishment, three teeth are connected with the worm surface at the same time, that is why these teeth are analysed. Polygon method was used to approach the kinematical impression on the worm wheel surface. As a result, we were able to define the area- and perimeter percentages of these impressions on the worm wheel surface for each tooth. We also determined the correlation between the axial module and the analysed mechanical parameters supposing average values on the contact surfaces.
“…Wang et al [11] solved the meshing characteristic problem of orthogonal face-gear drives in real working conditions. Bodzas [12] carried out loaded tooth contact analysis of straight bevel gears and obtained the mechanical characteristics by different loads. Vivet et al [13] proposed a multi-body meshing analysis method and analysed the transmission error and contact patterns of spiral bevel gears.…”
Due to the complexity of load distribution and contact conditions, as well as the lack of effective analysis methods, the theoretically designed rotary vector (RV) cycloidal-pin drive with good meshing characteristics shows poor loaded performance in practical applications. In this paper, an effective analysis method based on the minimum energy principle is proposed, which can accurately obtain the real loaded characteristics in line with the actual operations. In the process of loaded analysis, through the innovative introduction of the minimum energy principle, the actual number of teeth engaged simultaneously was accurately determined, which directly affects the quality of meshing. The results of simulation and measurement experiment demonstrate the correctness and practicability of the theoretical analysis method and the effectiveness of the introduction of the minimum energy principle. This study solves the problem that the actual meshing performance is inconsistent with the theoretical analysis results, and provides an effective way for the improvement and pre-control of the transmission accuracy and meshing quality of the robot RV reducer.
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