The mathematical model and mechanical properties of variable center distance gears based on screw theory

Zheng, Fangyan; Hua, Lin; Han, Xiaotao

doi:10.1016/j.mechmachtheory.2016.03.005

Cited by 43 publications

(25 citation statements)

References 21 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%

“…5. The numerical magnitude of the volume interference of the hob and the gear was 0.01 mm 3 , which can be primarily attributed to the geometric model construction error and the interpolation calculation error. According to the interference result, the precision of the linkage model shown in Eq.…”

Section: Model Simulation Testmentioning

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%

Section: Model Simulation Testmentioning

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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“…The plasma surface modification technology uses the plasma spray gun as the carrier, which does not require other low pressure vacuum equipment and high maintenance cost, and can simultaneously separate the production area and the application area. It is one of the hotspots in the current research field of plasma technology [1][2][3]. The surface of the plasma surface modification technology has a complex shape and a wide variety of types, and not all of the base surfaces need to be treated, such as large cavity walls, oral teeth, etc.…”

Section: Introductionmentioning

confidence: 99%

Trajectory control and parameter optimization of plasma robot gun

2020

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A plasma robot model with redundant freedom is proposed for the shortage of flexibility in the complex working environment of plasma robot. The existence of redundant degrees of freedom leads to the complex motion characteristics of the plasma robot joints. The trajectory of the end of the spray gun is difficult to describe. Therefore, a trajectory optimization algorithm based on fitness function is proposed. In the plasma robot joint space, a parabolic linear fitting is adopted. The error between the actual trajectory and the desired trajectory is taken as fitness function. Genetic algorithm is applied to find the optimal solution for the parameters in trajectory planning. The orthogonal experimental model of the parameters of the plasma spray gun is set up. The optimum working parameters of the spray gun are obtained through the analysis and study of the power, atmospheric pressure and the distance of the gun. Finally, the rationality of the proposed method is proved by simulation and test.

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“…This makes both the calculation and the construction a lot more complicated. The pitch curves of these gears can be determined with the help of the rigid body velocity equations [1,5], where not just the angular velocities but the axis distance is as well a function.…”

Section: Introductionmentioning

confidence: 99%