Automated Analysis of Meshing Performance of Harmonic Drive Gears Under Various Operating Conditions

Ma, Donghui; Wang, Rui; Rao, Pengfei; Sui, Ruomin; Yan, Shaoze

doi:10.1109/access.2018.2872797

Cited by 11 publications

(2 citation statements)

References 39 publications

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“…Gao et al [15] proposed a FS machining error measurement system, which provided a method for hobbing quality control. Ma et al [16][17][18] proposed many new experimental devices and methods, which were used to measure and analyze the meshing characteristics of CS and FS at different speeds. Zhang et al [19,20] analyzed the tribological characteristics of FS of different materials under dry friction and grease lubrication, which can provide a reference for selecting appropriate FS materials.…”

Section: Introductionmentioning

confidence: 99%

Calculation of tooth thickness errors and its influence on meshing backlash of harmonic drive

Yang

Zhang

et al. 2022

Preprint

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Meshing backlash mainly determines the transmission accuracy of harmonic drive, which is an important index in design. In this paper, a design method of short tooth involute profile is proposed, which relies on positive modification to enhance the strength of dedendum. By intercepting part of tooth profile, the meshing interference of addendum can be effectively avoided. Based on the dimensions of over pins of circular spline and flexspline, a calculation method of tooth thickness deviation is proposed, and the positive and negative of tooth thickness deviation are defined. Involute functions need not be calculated by this method, which simplifies the solution process. By discretizing the teeth profile points of circular spline and flexspline, a calculation method of time-varying backlash is proposed, the variation of backlash in the process of meshing in and out is analyzed, and the influence law of tooth thickness deviation on backlash is studied. On this basis, an algorithm of adjusting the radial deformation to compensate the backlash is proposed. The results show that the excessive backlash in the meshing area can be reduced by increasing the radial deformation. when meshing interference occurs, the interference free meshing can be realized by decreasing the radial deformation.

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Section: Introductionmentioning

confidence: 99%

Calculation of tooth thickness errors and its influence on meshing backlash of harmonic drive

Yang

Zhang

et al. 2022

Preprint

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show abstract

“…At present, the mid-layer radius of the ring model used to calculate the FS deformation is considering the same with the radius of the geometric mid-layer (GML) of FS tooth rim, which ignored the tooth. However, the tooth not only affects the stress [22,23] and meshing [24,25] of the FS but also causes the change of the actual neutral layer (ANL) on position and shape. Kondo [9] performed a bending test on an enlarged simple trapezoidal rack to obtain the ANL distribution.…”

Section: Introductionmentioning

confidence: 99%

Tooth Position and Deformation of Flexspline Assembled with Cam in Harmonic Drive Based on Force Analysis

Yao

Chen

Xing

et al. 2021

Chin. J. Mech. Eng.

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Deformation of the flexspline is the basis of analyzing tooth trajectory and designing tooth profile. Considering the tooth influence on the position of equivalent neutral layer, a piecewise method for calculating the deformation of flexspline assembled with a cam wave generator is presented in this paper. Firstly, a mechanic model of a ring of uniform thickness in contact with a rigid cam is established. The displacements of the ring inside and outside an unknown wrapping angle are determined by the geometric constraints of the cam profile and the equilibrium relationship, respectively. Meanwhile, the wrapping angle is solved according to the boundary conditions. The assembly forces are derived to investigate the circumferential elongation and strain. Then, considering the tooth effects on the neutral layer of flexspline, the tooth is positioned on the equivalent neutral layer, which is the non-elongation layer within one gear pitch but offset from the geometric mid-layer. The equivalent neutral layer is positioned by the empirical formula of the offset ratio, which is summarized by the orthogonal simulation on finite element models of racks. Finally, finite element models of a ring-shaped and a cup-shaped flexspline assembled with elliptical cam are established to verify the effectiveness and accuracy of the piecewise method. The results show that, compared with the geometric method, the tooth positioning deviation calculated by the piecewise method can be reduced by about 70% with a more accurate deformation description from the geometric condition and mechanic condition inside and outside the wrapping angle.

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Nonlinear dynamics of harmonic drive considering pitch deviation

Chen

Shi²,

Xing³

et al. 2022

Meccanica

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Automated Analysis of Meshing Performance of Harmonic Drive Gears Under Various Operating Conditions

Cited by 11 publications

References 39 publications

Calculation of tooth thickness errors and its influence on meshing backlash of harmonic drive

Calculation of tooth thickness errors and its influence on meshing backlash of harmonic drive

Tooth Position and Deformation of Flexspline Assembled with Cam in Harmonic Drive Based on Force Analysis

Nonlinear dynamics of harmonic drive considering pitch deviation

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