scholarly journals Study of geometric characteristics of the arc teeth semi-rolled cylindrical gear meshing

2021 ◽  
Vol 49 (2) ◽  
pp. 367-373
Author(s):  
Vladimir Syzrantsev ◽  
Ksenia Syzrantseva

In the conditions of unbraced machine body parts, arc teeth cylindrical gears have a higher load capacity, durability and reliability as well as the ability to compensate for the twist angle by self-adjustment of one of the wheels compared to straight and helical teeth gears. Use of such gears in a semi-rolled version allows simplifying significantly the technological process of cutting wheels and making gears with large gear ratios. In this article, mathematical models of wheel and gear arc teeth forming process are built for a semi-rolled cylindrical gear. The geometric characteristics of the gear arc teeth meshing in the presence of errors in the wheel and gear relative position, required to solve the problem of calculating the gear load capacity and durability, have been determined.

2010 ◽  
Vol 37-38 ◽  
pp. 1416-1420 ◽  
Author(s):  
Ran Zhao ◽  
Kang Sheng Zhang ◽  
Zheng Huan Hu

Deep study on Inside Right-angle Step (IRS) forming process was conducted to improve the precision of its (IRS) forming. According to its actual forming process, the zone, or the undeformed zone, was looked as semi-spiral declined cone and excluded the contact zone. A new algorithm was developed for calculating the size of the undeformed zone. More simple mathematical models and expressions weredeveloped for solving the shaping curve. The model was verified in terms of its simplicity and correctness based on the numerical simulation.


Author(s):  
Huaqing Ren ◽  
Newell Moser ◽  
Zixuan Zhang ◽  
Kornel F. Ehmann ◽  
Jian Cao

Incremental forming is a flexible dieless forming process. In incremental forming, the metal sheet is clamped around its periphery. One or multiple generic stylus-type tools move along a predefined toolpath, incrementally deforming the sheet metal into a final, freeform shape. Compared with the traditional sheet metal forming process, the incremental forming process is more flexible, energy efficient and cost effective due to lower capital investment related to tooling. However, maintaining tight geometric tolerances in incremental formed parts can be a challenge. Specifically, undesired global bending is usually induced near the region between the tools and fixture resulting in a compromise in geometric accuracy. To address this issue, Accumulated Double-Sided Incremental Forming (ADSIF) is proposed, which utilizes two tools on both sides of the metal to better achieve localized deformation while simultaneously constraining global bending outside the forming area. Moreover, in ADSIF, the two tools are moving from inward to outward, and thus the tools are always forming virgin material and so as to limit forces on the already-formed part. Thus, ADSIF has a higher potential to achieve the desired geometry. Nevertheless, tool deflection due to machine compliance is still an issue that can have a considerable effect on geometric accuracy. In this work, the effect of tool deflection related to part geometry is studied for the ADSIF process. The nature of using two tools, rather than one, in ADSIF inherently implies that relative tool position is a critical process parameter. It is the region near these two tools where local squeezing and bending of the sheet occurs, the primary modes of deformation found in ADSIF. The change of relative tool positions (i.e., tool gap and relative position angle) are studied in detail by first developing an analytical model. It is concluded that the tool gap will be enlarged under the influence of tool compliance while the relative position angle is less affected. Additionally, a finite element simulation capable of modeling tool deflection is established. The comparison between the simulation results using rigid tools and deformable ones clearly demonstrated the significant influence of tool compliance on part geometry. Lastly, an axisymmetric part with varying wall angles was formed, and it was confirmed that ADSIF demonstrates improved geometry accuracy compared with conventional Double-Sided Incremental Forming.


2022 ◽  
Vol 113 (1) ◽  
pp. 13-18
Author(s):  
T. Kresan ◽  
S. Pylypaka ◽  
Z. Ruzhylo ◽  
C. Rogovskii ◽  
O. Trokhaniak

Purpose: To carry out the transition from a cylindrical gear in which the centroids are congruent ellipses with centres of rotation in the foci, to a bevel gear on the basic of congruent spherical ellipses. Design/methodology/approach: Congruent ellipses with centres of rotation in the foci serve as centroids for the design of cylindrical gears with non-circular wheels. The article analytically shows that the analogues of ellipses on the plane - congruent spherical ellipses are the basis for the construction of the axoids of the corresponding bevel gears. An analogue of the centre-to-centre distance for ellipses in the plane is the angle between the axes of rotation of conical axoids. Findings: Based on the equality of the arcs of ellipses, the dependence of the angle of rotation of one axoid on the angle of rotation of another is found. Graphs of this dependence for separate cases are given. It is shown under what conditions the axes of axoids intersect at right angle. The parametric equations of spherical ellipses and corresponding axoids are given. They were used to construct spherical ellipses and corresponding conical axoids for different cases. For gears with right angle between the axes, separate positions of the axoids with different angles of their rotation around their axes are constructed. Practical implications: Spherical ellipses are directing curves for the construction of the corresponding conical axoids. Originality/value: The paper shows that congruent spherical ellipses act as centroids for the design of axoids of bevel gears. They roll one by one without sliding, rotating around axes that intersect in the centre of the sphere. To design such gears, it is important to know the interdependence between the geometric parameters, especially for common gears with a right angle between the axes.


Author(s):  
Ni Nyoman Ayu Devi Pragasuri ◽  
Ngurah Indra Pradhana ◽  
I Made Budiana

The title of this research is “Formation and Meaning of Compound Words from Onomatopoeia and Human Body Parts in Japanese on Social Media Twitter”. This research focuses on the forming process and meaning of compound words from onomatopoeia and human body parts in Japanese on social media twitter. This research was analysed by using formal and informal method. Compound words formation analysis used word formation theory from Kageyama and Kishimoto (2016) and the meaning of compound words analysis used semantic theory from Chaer (2012) and characteristic of Japanese onomatopoeia from Akimoto (2002). The result of this research is on the 25 data was analyzed, there are 14 data formed from the composition process and 11 data formed from the composition process followed by the shortening process of the words and part of speech classification in all data has changed. For the meaning, 22 data have grammatical meaning and 3 data have lexical meaning and all data have derivative meaning from the basic onomatopoeia.


2017 ◽  
Vol 61 (2) ◽  
pp. 130
Author(s):  
András Bendefy ◽  
Péter Horák

Changing ratio gears are noncircular. It means that if they are combined with a conventional cylindrical gear a changing axis distance will be given. Changing axis distance can generate a lot of difficulties and additional costs in the construction. Our goal was to create changing ratio gears that have cylindrical geometry and interlock with conventional cylindrical gears at a constant axis distance. This can be achieved by applying continuously changing profile shift. Profile shift modifies the diameter of the gears, however it does not have any effect on the ratio; regardless if that is constant or changing. The point of our calculation is that some gears with noncircular rolling curves can have circular pitch curve with the help of changing profile shift.


2012 ◽  
Vol 579 ◽  
pp. 297-311
Author(s):  
Yi Hui Lee ◽  
Shih Syun Lin ◽  
Yi Pei Shih

During large-size gear manufacturing by form grinding, the actual tooth surfaces will differ from the theoretical tooth surface because of errors in the clamping fixture and machine axes and machining deflection. Therefore, to improve gear precision, the gear tooth deviations should be measured first and the flank correction implemented based on these deviations. To address the difficulty in large-size gear transit, we develop an on-machine scanning measurement for cylindrical gears on the five-axis CNC gear profile grinding machine that can measure the gear tooth deviations on the machine immediately after grinding, but only four axes are needed for the measurement. Our results can serve as a foundation for follow-up research on closed-loop flank correction technology. This measuring process, which is based on the AGMA standards, includes the (1) profile deviation, (2) helix deviation, (3) pitch deviation, and (4) flank topographic deviation. The mathematical models for measuring probe positioning are derived using the base circle method. We also calculate measuring positions that can serve as a basis for programming the NC codes of the measuring process. Finally, instead of the gear profile grinding machine, we used the six-axis CNC hypoid gear cutting machine for measuring experiments to verify the proposed mathematical models, and the experimental result was compared with Klingelnberg P40 gear measuring center.


2014 ◽  
Vol 657 ◽  
pp. 504-508
Author(s):  
Sándor Ravai Nagy ◽  
Mircea Lobonţiu

<span><p align="LEFT"></p> <p><span style="font-size: medium;" size="3">Studies and research in the field of cylindrical gear transmission capacity have identified gears with asymmetric teeth as a suitable solution. In addition to sizing problems of the gears with asymmetric teeth, there is a strong need of their manufacturing solutions, which requires adaptation of the existing gear manufacturing and control technologies. Following the application of the test procedure for the first batch of teeth set in advance, an 11-27% increased load capacity of the gear tooth resulted, which led to a similar increase of the maximum torque transmitted by the gearing. By studying and trying the manufacturing technologies of the gears, we made gears with asymmetric teeth with finished flanks by grinding in accuracy class 5-6. And we use these gears to make a one-stage gearbox, for further research.</span></p>


1984 ◽  
Vol 106 (4) ◽  
pp. 313-324 ◽  
Author(s):  
L. H. Chen ◽  
S. M. Wu

The geometric characteristics of nine representative Multifacet Drills (MFD’s) are summarized. Mathematical models of the various component surfaces are derived and analyzed using coordinate transformations. The mathematical models of the geometric elements are used to deduce appropriate grinding methods. Computer plots of MFD’s are also presented to check the mathematical models and to lay a foundation for future work on computer-aided design (CAD) of MFD’s.


2020 ◽  
Vol 62 (12) ◽  
pp. 1265-1272
Author(s):  
Mustafa Özdemir ◽  
Hakan Dilipak ◽  
Bülent Bostan

Abstract In the study conducted for this contribution, sheet material 4 mm thick, non-heat treated (II), normalized (NH) and tempering heat treatment implemented (TH), were formed at a bending angle of 90°. As a result of the forming process, the effects of the R2, R3, R4, R5, and R6 mm punch tip radii on spring back and spring go values were investigated. The bending operations were carried out by waiting for the punch in the material bending zone for 30 sec and then lifting. The samples were extracted from the middle deformation zone of the II, NH and TH applied sheet material, to which the bending process was applied, following which their ferrite phase, pearlite and martensite structures were microstructurally analyzed. A Minitab analysis program was used to investigate the effect of the bending parameters on the sheet material’s spring-back and spring-go behavior. Moreover, the effects of bending parameters were investigated by creating numerical and mathematical models. Thus, it was determined that spring-go behavior occurred on the II and NH applied sheet material, while spring-back behavior occurred on the TH applied material.


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