Performance analysis of asymmetric toothed strain wave gear
21 May 2021-pp 095440622110157
TL;DR: Strain Wave Gear (SWG) or Harmonic Drive (HD) shows moderate performance under symmetrical involute teeth as discussed by the authors, due to interference, excessive teeth meshing, vibration due to improper teeth engagement.
Abstract: Strain Wave Gear (SWG) or Harmonic Drive (HD) shows moderate performance under symmetrical involute teeth. Teeth interference, excessive teeth meshing, vibration due to improper teeth engagement ar...
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Patent•
24 Sep 2013
TL;DR: In this paper, ausen verzahnter Verzahnungsbereich (7, 9) werden so verbogen, dass sie elliptische Formen haben, deren Phasen um eine Rotationszentralachse (1a) um 90° gegeneinander verdreht sind.
Abstract: Ein erster und ein zweiter ausen verzahnter Verzahnungsbereich (7, 9) eines Verformungswellgetriebes (1) werden durch einen Wellgenerator (10) in eine elliptische Form verbogen, um in ein erstes bzw. in ein zweites innen verzahntes Zahnrad (2, 4) einzugreifen. Der erste und der zweite ausen verzahnte Verzahnungsbereich (7, 9) werden so verbogen, dass sie elliptische Formen haben, deren Phasen um eine Rotationszentralachse (1a) um 90° gegeneinander verdreht sind. Zwischen dem ersten und dem zweiten ausen verzahnten Verzahnungsbereich (7, 9) ist ein ausen verzahntes Kopplungsverzahnungsbereich (8) ausgebildet, der eine kreisformige Querschnittsform behalt, die sich nicht verbiegt. Der ausen verzahnte Kopplungsverzahnungsbereich (8) wird so auf eingreifende Art und Weise mit einem innen verzahnten Kopplungszahnrad (3) gekoppelt gehalten. Das Verformungswellgetriebe (1) hat eine hohe Eingriffssteifigkeit und ist in der Lage, ein groses Drehmoment zu ubertragen.
32 citations
01 Jan 2023
TL;DR: In this paper , a modified double circular arc gear tooth profile was proposed for finite element simulation. And the results showed that the maximum bending stress and radial stress developed in modified double circle arc tooth profile is less by 5-6% than the stresses in standard involute tooth profile.
Abstract: In this study, the aim is to generate a modified double circular arc tooth profile for a gear pair. The modified double circular arc gear tooth profile consists of modified double circular arcs and an involute profile joining the circular arcs. The geometrical analysis for the proposed double circular arc is presented with all the geometrical parameters. Further, an external-external gear pair with the proposed double circular arc is modeled for finite element simulation. The results are then compared with that of a gear pair with standard involute profile. The result shows that the maximum bending stress and radial stress developed in modified double circular arc tooth profile is less by 5–6% than the stresses in standard involute tooth profile.
10 Jan 2023-Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
TL;DR: In this article , a method for designing a harmonic reducer with the small transmission ratio as low as 20 was presented, and a four-tooth difference was designed to solve the problem that diminishing the radial deformation coefficient leads to the reduction of the engagement depth and increase of the pressure angle of the tooth profile.
Abstract: A harmonic reducer (HR) is widely used because of high precision, small size, light weight and a series of advantages. However, the disadvantage is that its transmission ratio is generally not less than 60. According to a market research study, more than 60% of the reducers have the transmission ratio of less than 60. This implies that the large transmission ratio restricts the HR from applications in the market demanding a small transmission ratio (20–60). In this study, a method is presented for designing the HR with the small transmission ratio as low as 20. First, by clarifying the principle of reducing the transmission ratio of the HR, a design model of two-wave HR tooth profile is deduced in detail, and a four-tooth difference HR is designed. Aiming at solving the problem that diminishing the radial deformation coefficient leads to the reduction of the engagement depth and the increase of the pressure angle of the tooth profile, a wave generator with a new profile is proposed. Then an optimization model based on the circular spline tooth profile to envelope the flexspline tooth profile is developed for achieving the twice-conjugated engagement. Based on manufacturing considerations, the theoretical tooth profile is fitted by involute based on a given numerical approximation method. Third, a finite element analysis is carried out to investigate the stress characteristics of small transmission ratio HR. Finally, a prototype with a transmission ratio of 20 is trial-produced and tested, which shows that the design methods can be applied for the small transmission ratio HR.
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TL;DR: In this paper, a method of research and design of gears with asymmetric teeth is presented, which enables to increase load capacity, reduce weight, size and vibration level of gears.
195 citations
TL;DR: In this paper, the authors proposed a modified geometry of an asymmetric spur gear drive designed as a combination of an involute gear and a double crowned pinion that enables to localize and stabilize the bearing contact and obtain a favorable shape of transmission errors.
177 citations
TL;DR: In this article, a computational stress-strain analysis of the flexible gear, based on the finite element method, is investigated as an alternative and is presented as a method to calculate the stress on flexspline teeth and find optimum shape of teeth to maximize fatigue life.
107 citations
TL;DR: In this paper, a dynamic model was developed, using MATLAB, and used for the prediction of the instantaneous dynamic loads of spur gears with symmetric and asymmetric teeth, and a 2-D three-tooth model for finite element analysis.
91 citations
TL;DR: In this paper, a computer program has been developed to investigate the variation of bending stress and contact ratio depending on the pressure angle on the drive side of the involute spur gears.
Abstract: This paper presents a method for the determination of bending stress minimization of involute spur gears. A computer program has been developed to investigate the variation of bending stress and contact ratio depending on the pressure angle on the drive side. Since asymmetric tooth is not standard, the tooth model, which was introduced by DIN 3990/Method C and ISO/TC 60, has been adjusted for asymmetric tooth by the authors. The determination of the tooth form and stress concentration factors for asymmetric tooth has been accomplished for each different parameter (pressure angles, tool radius, rack shift, etc.). The sample results, which were obtained by using a developed computer program, are illustrated with numerical examples.
73 citations