Nonlinear Dynamic Analysis of a Trochoid Cam Gear with the Tooth Profile Modification

Yang, Ronggang; Han, Bo; Xiang, Jiawei

doi:10.1007/s12541-020-00417-6

Cited by 6 publications

(4 citation statements)

References 36 publications

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“…The principle of formed dressing wheel dressing worm wheel is shown in figure 6. When dressing, the dressing wheel and the worm wheel are in line contact, and the fixed dressing wheel contour determines the contour of the worm wheel [25]. The customization cycle of the dressing wheel is long, and the customized dressing wheel can only be used to process a fixed type of gear.…”

Section: Worm Wheel Dressing Methods With a Variable Pressure Anglementioning

confidence: 99%

Modeling and compensation of twist error of helical gear with lead modification in continuous generating grinding

He,

Wang,

2023

Eng. Res. Express

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A compensating method based on continuously deflecting the dressing wheel is proposed to eliminate twist error of the lead modification tooth flank. Combining the tooth flank contact trace and the lead modification curve, the mechanism of the twist error of the modified tooth flank is first analyzed. Second, a tooth profile error model is developed at the upper and lower end faces. The tooth flank twist amount is calculated by subtracting the tooth profile error at the upper and lower end faces. Then, the tooth profile slope deviation of the twisted tooth flank is transformed into the pressure angle deviation of the tooth profile, and the method of compensating the pressure angle of the worm wheel is applied to eliminate the pressure angle deviation of the tooth flank caused by the twist error. The grinding partition of the worm wheel is performed according to the diagonal grinding process, and a worm wheel dressing method for continuously deflecting the dressing wheel is provided to compensate for the twist error of the lead modification tooth flank. Finally, the continuous generating grinding experiment of the lead modification gear verifies the feasibility of the proposed method.

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Section: Worm Wheel Dressing Methods With a Variable Pressure Anglementioning

confidence: 99%

Modeling and compensation of twist error of helical gear with lead modification in continuous generating grinding

He,

Wang,

2023

Eng. Res. Express

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“…Chen Sheng et al [13,14] developed a gear dynamics model for the coal mining machine drive system and analyzed the effect of temperature as well as other nonlinear parameters on the stability of the system, respectively. Yang et al [15] analyzed the effect of different trim parameters on the dynamic characteristics of the system for cycloidal cam gears. Several scholars have developed gear dynamics models considering various nonlinear factors and analyzed the nonlinear dynamical behavior of gear systems with different parameter variations by different solving methods [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

2022

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In the transmission process of gear system, the change of load will make the system in different states of motion, which affects the transmission efficiency of gear system. It is important to investigate the nonlinear dynamic characteristics of gear system under different load states. Using straight cylindrical gears as the object of study, the concentrated mass method is used to establish a dynamic model that takes into account nonlinear factors such as tooth side clearance, time-varying meshing stiffness and transmission errors. The differential equations of the system are solved by the Longe-Kutta method to obtain the bifurcation diagram, the maximum Lyapunov exponent diagram and the phase plane diagram of the gear system to analyze the effect of the meshing damping ratio on the dynamic characteristics of the system under different load states. The results show that the influence of the engagement damping ratio on the dynamic characteristics of the system is greater under light load conditions, showing different states of motion as the engagement damping ratio gradually increases. Under heavy load conditions, the effect of the engagement damping ratio on the dynamic characteristics of the system is small. Appropriately increasing the mesh damping ratio is beneficial to the gear system to avoid the chaotic zone and maintain a stable cyclic motion state. The results of the study provide a reference for the design of gear systems with variable loads.

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“…Li [12] take the RV cycloidalpin gear pair transmission as the object, a meshing contact analysis method is proposed for RV cycloidal-pin gear transmission considering the influence of manufacturing error. Yang [13,14] constructed the equations of tooth profile modification to analysis the nonlinear dynamics of the TCG. Xu [15] proposes a method for analyzing the contact dynamics of the multi-tooth meshing in a cycloidal-pin gear transmission was proposed considering the influences of the turning-arm cylindrical roller bearing.…”

Section: Introductionmentioning

confidence: 99%

Research on Meshing Characteristics of Trochoidal Roller Pinion Rack Transmission

Wang

2022

Applied Sciences

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As a precision transmission mechanism, the trochoidal roller pinion rack has been paid more and more attention in recent years, but its meshing characteristics have not been deeply explored. In order to investigate the meshing characteristics of the trochoidal roller pinion rack transmission, it is particularly important to research its line of action and meshing stiffness. The equation of the line of action of the trochoidal roller pinion rack is deduced by using its tooth profile formation principle. The motion simulation of the trochoidal roller pinion rack transmission is carried out to verify the correctness of the theoretical derivation of the equation of the line of action, and the influence of the basic parameters on the line of action is summarized. The meshing stiffness of the trochoidal roller pinion rack is calculated based on the energy method used for gear meshing stiffness, and the meshing stiffness is defined considering the time-varying characteristics of its pressure angle, and the influence of each basic parameter on the meshing stiffness is studied. The results shows that the meshing stiffness increases first and then decreases in the double tooth meshing area, while the meshing stiffness gradually decreases in the single tooth meshing area. The basic parameters including number of roller pins, the module, the rack tooth profile offset coefficient, the diameter coefficient of roller pin, and the addendum coefficient of rack have different effects on the line of action and meshing stiffness. The research conclusion can provide reference for the parameter design of the trochoidal roller pinion rack, and provide the meshing stiffness calculation method for the dynamic analysis of the transmission.

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Nonlinear Dynamic Analysis of a Trochoid Cam Gear with the Tooth Profile Modification

Cited by 6 publications

References 36 publications

Modeling and compensation of twist error of helical gear with lead modification in continuous generating grinding

Modeling and compensation of twist error of helical gear with lead modification in continuous generating grinding

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

Research on Meshing Characteristics of Trochoidal Roller Pinion Rack Transmission

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