Study of the Base Curve and Formation of Singular Points on the Tooth Profile of Noncircular Gears

Riaza, Héctor Fabio Quintero; Foix, Salvador Cardona; Nebot, Lluïsa Jordi

doi:10.1115/1.2712221

Cited by 5 publications

(2 citation statements)

References 9 publications

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“…Recently, steering gears with variable transmission ratio have gradually become the standard core component of the vehicle steering system, which realize the real-time change of the transmission ratio in the steering process by adopting the variable transmission ratio rack-and-pinion pair, and achieve the unity of the vehicle steering portability and sensitivity. Unlike non-circular gears, 1–6 variable transmission ratio rack-and-pinion pair achieve variable speed transmission by special tooth surface shapes rather than through non-circular gear configurations.…”

Section: Introductionmentioning

confidence: 99%

Design method of rack-and-pinion pair with pure rolling variable transmission ratio

Ziru,

Shuai,

Fuhui

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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Rack-and-pinion pair with variable transmission ratio can achieve the unity of vehicle steering portability and sensitivity, and effectively reduce vehicle steering energy consumption. Therefore, they have gradually become the standard core components of steering system. However, the gear surface of rack-and-pinion pair with variable transmission ratio is seriously worn under long-term service, which leads to the degradation of performance and cannot achieve the theoretically variable transmission ratio. To solve these problems, a new configuration of rack-and-pinion pair for commercial vehicle with herringbone pure rolling variable transmission ratio is proposed in this paper. The tooth surface mathematical model of the fully-conjugate variable transmission ratio is established based on the variable speed envelope principle, and the formula for calculating pure rolling point of tooth surface with variable transmission ratio is derived. The tooth point deviation equation of fully-conjugate variable transmission ratio is proposed, and the method of constructing pure rolling variable transmission ratio tooth surface is formed. The finite element analysis shows that the design of the pure rolling rack-and-pinion pair with variable transmission ratio has good tooth surface quality without the phenomenon of contact spot intermittent and edge contact during the meshing process, and the contact ellipse center of the tooth surface is located at the theoretical pure rolling point of the tooth surface. The measured transmission ratio curve of the samples is in good agreement with the theoretical variable transmission ratio curve, and the transmission ratio error is within a reasonable range. The contact strips of tooth surface impression test are consistent with those of finite element analysis, which indicates that the designed rack-and-pinion pair with variable transmission ratio has the characteristics of pure rolling and point contact. The tooth surface wear test shows that the wear of pure rolling gear surface with variable transmission ratio is obviously less than that of traditional gear surface with variable transmission ratio. The above tests and simulation indicate the correctness of the design method.

show abstract

Section: Introductionmentioning

confidence: 99%

Design method of rack-and-pinion pair with pure rolling variable transmission ratio

Ziru,

Shuai,

Fuhui

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…In research on non-circular gears, Li and Volkov 23,24 proposed the method of designing the tooth profile of non-circular gears. Riaza et al 25 studied the pitch curve of non-circular gears. Xu et al 26 studied a method of generating the corresponding non-circular gear with a given two-dimensional shape.…”

mentioning

confidence: 99%

Displacement prediction and optimization of a non-circular planetary gear hydraulic motor

Zhang

Song

Jing

et al. 2021

Advances in Mechanical Engineering

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The non-circular planetary gear hydraulic motor is a low-speed and high-torque hydraulic motor with excellent performance. It has the characteristics of a wide speed range, low weight and is widely used in various fields. Aiming to solve the problem of there being no intuitive formula for calculating the displacement of the non-circular planetary gear hydraulic motor at present, based on the analysis of the effects of structural parameters on the displacement of the motor, this paper proposes a formula for calculating the displacement of a non-circular planetary gear hydraulic motor when the pitch curve of the sun wheel is a high-order ellipse. The formula allows the direct calculation and prediction of the displacement of the motor. To improve the unit volume displacement of the hydraulic motor (which determines the power density of the motor), based on the analysis of the unit volume displacement constraints, an optimization equation is proposed by adding an optimization factor to the original equation of the pitch curve of the sun wheel. It is seen that the addition of the new optimization factor eliminates the self-interlacing of the pitch curve of inner ring gear. This elimination increases the unit volume displacement of the motor.

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Synthesis of 1-DOF mechanisms for exact regular polygonal path generation based on non-circular gear transmissions

Castillo,

López-Martínez,

García-Vallejo

et al. 2024

Mechanism and Machine Theory

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Study of the Base Curve and Formation of Singular Points on the Tooth Profile of Noncircular Gears

Cited by 5 publications

References 9 publications

Design method of rack-and-pinion pair with pure rolling variable transmission ratio

Design method of rack-and-pinion pair with pure rolling variable transmission ratio

Displacement prediction and optimization of a non-circular planetary gear hydraulic motor

Synthesis of 1-DOF mechanisms for exact regular polygonal path generation based on non-circular gear transmissions

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