Prevention of resonance oscillations in gear mechanisms using non-circular gears

Karpov, O. P.; Носко, Павло Леонідович; Філь, Павло Володимирович; Nosko, Oleksii; Olofsson, Ulf

doi:10.1016/j.mechmachtheory.2017.03.010

Cited by 34 publications

(21 citation statements)

References 27 publications

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“…The section parallel to the end face of the gear blank Q 1 The point located on the centerline of the equivalent rack in the M-M section Q 2 The point located on the centerline of the equivalent rack in the N-N section P 1 and P 2 The points located on the pitch plane of the equivalent helical rack Q 3 The point located on the segment P 1 P 2 and the section N-N ∆z…”

Section: N-nmentioning

confidence: 99%

“…The displacement of the projected rack in the y-axis direction during each interpolation period f 1 and f 2 The coefficients for evaluating error accumulation…”

Section: N-nmentioning

confidence: 99%

“…Non-circular gears have a unique structure and advantages in the field of variable speed ratio transmission. These gears have been extensively used in various applications, including jumping robots [1], resonance oscillation prevention [2], hydraulic motors [3], function generators [4], non-sinusoidal oscillation of molds [5], constant flow pumps [6], and agricultural machinery [7]. Until now, a spur gear design scheme has been primarily adopted for the application of non-circular gears.…”

Section: Introductionmentioning

confidence: 99%

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Linkage model and interpolation analysis of helical non-circular gear hobbing

Han

Tian

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The design flexibility and transmission stability of the non-circular gears can be improved using the helical tooth scheme. Herein, a linkage model was derived for hobbing the helical non-circular gears based on the influence of the axial feed motion of the hob on the motion of the projecting rack on the gear-blank end face. This axial feed motion produces additional motion effects on the rotary axis of the gear-blank and the moving axis of the hob. Further, the accuracy of the linkage model was verified by kinematic simulations. The global convergence characteristics of the transcendental equation used for obtaining the polar angle of the pitch curve were ascertained to derive the interpolation calculation process for the linkage model-based electronic gearbox. The cause of cumulative error during the multi-turn hobbing process of the gear blank was analyzed. The error accumulation was effectively controlled by optimizing the interpolation algorithm. The hobbing experiments and meshing transmission test were conducted using the self-developed non-circular gear hobbing system to verify the effectiveness of the linkage model and interpolation algorithm.

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Section: N-nmentioning

confidence: 99%

“…The displacement of the projected rack in the y-axis direction during each interpolation period f 1 and f 2 The coefficients for evaluating error accumulation…”

Section: N-nmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Linkage model and interpolation analysis of helical non-circular gear hobbing

Han

Tian

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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“…From equations (8) and (20), the variation of i H1 at k 1 = 0:05, k 1 = 0:1, and k 1 = 0:15 can be plotted. As shown in Figure 8, the variation range of the transmission ratio i H1 increases as k 1 increases and the period remains unchanged.…”

Section: Influence Of Eccentricity K 1 On Transmission Ratiomentioning

confidence: 99%

Geometric design and kinematics analysis of coplanar double internal meshing non-circular planetary gear train

Lin

Xia

2018

Advances in Mechanical Engineering

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A new type of non-circular planetary gear train is proposed, in which the planetary gear is internally meshed with the sun gear and the ring gear at the same time. The structural form and transmission principle are analyzed, and the design method of non-circular gear pitch curves and related parameters of the gear train are discussed. The input-output relationship under various working conditions of the gear train is deduced. The precise tooth profile of the non-circular gears is obtained by the Boolean operation of MATLAB, then the virtual prototype model of the planetary gear train is established, and the kinematics simulation is carried out in the ADAMS software. The simulation results verify the correctness of the transmission principle and the theoretical analysis of the motion law.

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“…According to equations (12) and (13), the parameter equation of contact line L T can be obtained as follows: where t 2 ½ÀH 2 =(a 2 À b 2 ), H 1 =(a 2 À b 2 ). The coordinates of the contact line L T are transformed from the coordinate system S 1 to S 2 , and the tooth surface equation of the non-circular gear can be obtained.…”

Section: Coordinate System Transformation Of Tooth Blank and Tool Rackmentioning

confidence: 99%

Meshing principle and transmission analysis of a beveloid non-circular gear

Han

Tian

et al. 2014

Advances in Mechanical Engineering

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To improve the stability and accuracy of non-circular gear transmission, a beveloid non-circular gear transmission scheme was developed to reduce the meshing impact and achieve backlash adjustment. When using the beveloid rack as the medium, the instantaneous contact line of the beveloid non-circular gear pair was shown to be a straight line, and the tooth surface was shown to be a ruled surface based on the transmission relationship between the rack centerline and the non-circular pitch curve. The zero-modification method was employed to develop the beveloid non-circular gear. Further, the generation method for the tooth profile of the modified non-circular gear was reviewed, and a digital solid model was developed for the beveloid non-circular gear. The physical contact simulation method was used to analyze the meshing backlash, and the influence of the axial displacement adjustment on the meshing backlash of the gear pair was obtained. By considering a pair of beveloid elliptic gears as an example, machining and transmission experiments were conducted, with results showing smooth gear-pair meshing and the anticipated backlash adjustment effect.

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Prevention of resonance oscillations in gear mechanisms using non-circular gears

Cited by 34 publications

References 27 publications

Linkage model and interpolation analysis of helical non-circular gear hobbing

Linkage model and interpolation analysis of helical non-circular gear hobbing

Geometric design and kinematics analysis of coplanar double internal meshing non-circular planetary gear train

Meshing principle and transmission analysis of a beveloid non-circular gear

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