A direct preset method for solving ease-off tooth surface of spiral bevel gear

Chen, Peng; Wang, Sanmin; Li, Fei; Zou, Haoran

doi:10.1016/j.mechmachtheory.2022.105123

Cited by 15 publications

(3 citation statements)

References 22 publications

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“…Mu [20] proposed a higher-order tooth surface modification method aimed at reducing loaded transmission errors (LTEs) and meshing impacts for improving dynamic characteristics of an HCR spiral bevel gear pair. Chen [21] presented an integration of various factors to achieve a global tooth surface control method of spiral bevel gears to solve an ease-off surface equation and optimize producing parameters. Yang [22] introduced a taper design method for face-milled hypoid and spiral bevel gears within the completing process.…”

Section: Introductionmentioning

confidence: 99%

Multi-Point Control for Face-Milled Spiral Bevel Gears with a Predesigned Fourth-Order Motion Curve

Liu,

Chen,

2024

Machines

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This paper presents an ultimate motion methodology of a face-milling spiral bevel gear pair to synthesize the mating tooth surfaces with a predesigned fourth-order motion curve. The methodology is to control some contact points along the contact path in the process of tooth contact analysis via application of an extended local synthesis which permits some transmission errors rather than zero at the concerned contact point. The modified offset motion correction is selected to demonstrate the proposed methodology. Applied torque corresponding to an elastic approach of 0.00635 mm at the mean contact point is calculated and the loaded tooth contact analysis is performed. Numerical results show that the extended local synthesis can effectively control the transmission errors on the predesigned fourth-order motion curve at arbitrarily predesigned contact points along the contact path of the spiral bevel gear pair. The tooth contact pattern for the actual tooth pair is scattered into three segments since the rotational motion of the driven gear at any instant angular position is dependent on the tooth pair with the least transmission error among the three adjacent tooth pairs. The actual tooth contact patterns of the spiral bevel gear pair become continuous when meshing tooth surfaces are elastically deformed.

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Section: Introductionmentioning

confidence: 99%

Multi-Point Control for Face-Milled Spiral Bevel Gears with a Predesigned Fourth-Order Motion Curve

Liu,

Chen,

2024

Machines

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“…Suh et al 14 presented a crow model along spiral curve direction and involute direction, separately, Ship 15 introduced an ease-off flank modification methodology for spiral bevel and hypoid gears. Chen et al 16 presented a direct preset method for solving ease-off tooth surface of spiral bevel gear that preset contact path (CP), geometric transmission error (TE), and curvature of difference curve at contact point. Mu et al 17 proposed an innovative ease-off flank modification method based on dynamic performance for high-speed spiral bevel gear with high-contact-ratio to reduce running vibration.…”

Section: Introductionmentioning

confidence: 99%

A method to remanufacture large-size spiral bevel gear with ease-off topology modification by face-milled generator

Geng,

Nie,

Zhao

et al. 2023

Advances in Mechanical Engineering

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Spiral bevel gears are manufactured and used in pairs. When one part usually pinion fatigued, the pair will be replaced. It inevitably leads to a waste of resources and time. To solve this phenomenon, a method to remanufacture pinion with ease-off topology modification is proposed. First, the wheel and pinion were measured to fitting tooth surface, and then a conjugate surface of wheel fitting tooth surface was derived. Secondly, an ease-off topology surface was superimposed to the conjugate surface to improve mesh performance, and then a design tooth surface was obtained. Thirdly, a mathematical model to process pinion was established and original machine-tool settings parameters of pinion were calculated. The deviations between design and original tooth surface of pinion were count, and an error correction model of tooth surface was established to adjust machine-tool settings parameters. Finally, an experimental verification was conducted. The pinion was remanufactured by a face-milled generator and the mesh performance was consistent with design. The result demonstrates the method proposed is effectiveness and feasible. It provides reference for the remanufacture of large-size spiral bevel gears and has good value for engineering application.

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“…Based on the theory of rack-gear common-tangential conjugate generation, Wei studied the construction of an ease-off surface by means of the topology modification of a polynomial surface [28]. Chen presented a direct preset method for solving the ease-off tooth surface of spiral bevel gears and achieving the global integrated control of the spiral bevel gear tooth surface [29]. Peng proposed a manufacturing process for fabricating ease-off surfaces for face gear drives that delivered controllable unloaded meshing performance and local bearing contact [30].…”

Section: Introductionmentioning

confidence: 99%

Research on Active Precontrol Strategy for Shape and Performance of Helicopter Spiral Bevel Gears

Hou

2023

Applied Sciences

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Gear vibration becomes unmanageable under extreme conditions, which shortens the time between overhauls of the helicopter reducer and affects the service efficiency of helicopters. For this purpose, an active precontrol strategy for shape and performance was developed for spiral bevel gear (SBG) systems, thus prolonging the reliable service period of helicopters. Firstly, the perfect pinion surface was built based on the preset contact path (CP) and transmission error (TE). Secondly, through a combination of tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA), the loaded transmission error (LTE), meshing stiffness (MS), and meshing impact (MI) of the SBG transmission were obtained. Thirdly, an eight-degrees-of-freedom (8-DOF) dynamic model was built, and a simplified dynamic model was generated based on this. As regards the dynamic response, the root mean square of normal vibration acceleration (RMA) of the SBG transmission was obtained by solving the differential equation of motion. The RMA of the SBG transmission was also analysed based on the basic theory of vector structural mechanics. Finally, an optimization model aimed at reducing the RMA of the SBG transmission was established using ease-off, and a redesigned SBG transmission with good dynamic performance was obtained through optimization. Simulation analysis showed that the LTE and MS amplitudes of the optimized gear were smaller than those of the original gear. The impact force and impact velocity of the optimized gear were 27.02% and 25.81%, respectively, lower than those of the original gear. The RMA value of the optimized gear was much lower than that of the original gear. The normal vibration velocity and displacement of the optimized gear transmission were also cut down. Therefore, the design approach can effectively increase the performance of gear transmission.

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A direct preset method for solving ease-off tooth surface of spiral bevel gear

Cited by 15 publications

References 22 publications

Multi-Point Control for Face-Milled Spiral Bevel Gears with a Predesigned Fourth-Order Motion Curve

Multi-Point Control for Face-Milled Spiral Bevel Gears with a Predesigned Fourth-Order Motion Curve

A method to remanufacture large-size spiral bevel gear with ease-off topology modification by face-milled generator

Research on Active Precontrol Strategy for Shape and Performance of Helicopter Spiral Bevel Gears

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