Study on the Gear Tooth Influence Coefficients of Flexspline of Harmonic Drive

Hong, Xin; Mo, Han Ning; Gao, Jian Cheng; Wang, Wen Jing; Cui, Deng Qi; Liu, Long; Tan, Weixian; Xin, Yue

doi:10.4028/www.scientific.net/amr.774-776.144

Cited by 5 publications

(4 citation statements)

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“…where p t is the angle between the teeth in arc AB, p 1 is the angle between the teeth in arc BC, and p f is the angle between the teeth in the flex spline before deformation. The equivalent numbers of teeth Z t can be obtained by substituting Equations ( 15) and ( 16) into Equation (13).…”

Section: Harmonic Drive Design Guidementioning

confidence: 99%

“…Kayabasi calculated the stress on flex spline teeth 2 of 12 and optimized the tooth profile of a flex spline through finite element method (FEM) analyses to maximize the fatigue life [5]. Xin simplified the profile of the gear tooth of a flex spline as two simple shapes, a rectangle and trapezoid, and compared the effect of these [13]. Chen proposed a method for designing the tooth profile for dual disc cam and for performing backlash assessments for a harmonic drive to enable more teeth to participate in engagement, and analyzed the influence of the tooth profile [14].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Development of Harmonic Drive Combining Four Arcs for Conventional Kinematic Application

et al. 2022

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This paper proposes a modified harmonic cam, which is used to design a harmonic drive. Conventional harmonic drives using a sinusoidal cam type pertain to an elastic body concept and are thus difficult to design and evaluate. Unlike the conventional sinusoidal cam, the proposed harmonic cam involves a combination of four arcs. Such cams can be designed based on a rigid body concept, and thus, the tooth profile can be designed and analyzed using the established gear theory. The novel harmonic cam is designed by exploiting four-arc combinations, and guides for designing harmonic drives with involute and cycloid angular teeth are presented. A harmonic drive with a difference of two teeth between the circular spline and flex spline is designed. The operation, tooth engagement, and interference are validated through a mock-up production using a 3D printer and gear simulation program. The findings can facilitate the facile design and manufacturing of harmonic drives.

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Section: Harmonic Drive Design Guidementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Development of Harmonic Drive Combining Four Arcs for Conventional Kinematic Application

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Vineet [8] proposed a method to calculate the load shared by the contact tooth pairs and the stress of the flexspline by estimating the contact load of multiple tooth pairs. Xin [9] simplified the profile of the gear tooth of the flexspline as two simple shapes, a rectangle and a trapezoid. The influence of gear tooth on the stresses in the flexspline has been studied and analyzed, and two simplified tooth profiles have been compared with each other.…”

Section: Introductionmentioning

confidence: 99%

Design and Analysis of Cam Wave Generator Based on Free Deformation in Non-Working Area of the Flexspline

Wang

Mao

et al. 2021

Applied Sciences

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Deformation stress of a flexspline under the action of a wave generator directly affects the service life of the flexspline and meshing quality of meshing pair. This study proposed a new deformation model for a flexspline, which incorporates forced deformation in the working area and free deformation in the non-working area, keeping the deformation shape unchanged during rotating. Based on this assumption of a deformation model, the mathematical model is further established, and the design approach of a cam wave generator is developed with the deflection curve of the ring structure. Then, a sample design with a double eccentric arc cam wave generator based on this deformation model is developed and analyzed in FEM. The results show that the deformation stress of the flexspline can be improved by relaxing the forced deformation in the non-working area, and the selected deformation shape can also remain unchanged during rotating. Moreover, the stress distribution and the maximum stress value could be improved with the variation of the combination coefficient, especially for the wrap angle.

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“…Xing [21] found that the radial displacement of the minor axis area of the flex-gear is less than the theoretical value, and there is a large film stress in the neutral layer of the flex-gear. Xin [22] simplified the gear tooth profile shape to triangle and trapezoid and compared the effect of the simplified tooth shape on the flex-gear. Zhang [23] analyzed the effect of radial deformation on the meshing performance of harmonic drive and obtained the stress distribution of the flex-gear deformed with the cam wave generator through finite element analysis.…”

Section: Introductionmentioning

confidence: 99%

Investigation on Deformation of the Flex-Gear and Optimization Design of Compound Curve Cam Wave Generator with Spiral

Wang

Zhang

Mao

et al. 2021

Mathematical Problems in Engineering

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The deformation shape and mechanical property of flex-gear greatly affect the meshing accuracy and service life of harmonic drive, and the stress wave generator plays a decisive role in the deformation shape and mechanical properties of the flexible gear. The investigation on deformation of the flex-gear around the major axis is developed with comparative analysis with three kinds of traditional and commonly used wave generators. Based on the influence of the deformation around the major axis on meshing accuracy and service life, the eccentric arc cam wave generator improved by transition curve for controlling the deformation shape and reducing the deformation stress is developed. Considering the achievable flexibility of spiral with smooth curvature change rate, the contour of the compound curve cam wave generator with arc and spiral is proposed. The deformation of the flex-gear under the influence of this compound curve cam and the standard elliptic cam is further comparative analyzed. The conclusion shows that this compound curve cam can indeed reduce the deformation stress in the meshing area by increasing the meshing width, and correct deformation shape can also be gained by shape control on the whole circumference of the flex-gear’s neutral layer.

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Study on the Gear Tooth Influence Coefficients of Flexspline of Harmonic Drive

Cited by 5 publications

References 0 publications

Development of Harmonic Drive Combining Four Arcs for Conventional Kinematic Application

Development of Harmonic Drive Combining Four Arcs for Conventional Kinematic Application

Design and Analysis of Cam Wave Generator Based on Free Deformation in Non-Working Area of the Flexspline

Investigation on Deformation of the Flex-Gear and Optimization Design of Compound Curve Cam Wave Generator with Spiral

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