Finite Element Residual Stress Analysis of Planetary Gear Tooth

Wang, Jungang; Wang, Yong; Huo, Zhipu

doi:10.1155/2013/761957

Cited by 10 publications

(8 citation statements)

References 21 publications

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“…where n 1 and n 2 are the rotational speed of pinion and gear, respectively; g is the contact times of the same side on tooth surface in each turn. By the equation 17 of finite fatigue life limit and stress cycles, equations (19) and (20) are obtained…”

Section: Constraintsmentioning

confidence: 99%

“…To compare the contact stress on tooth profile before and after optimization, the loaded tooth contact analysis (LTCA) [18][19][20][21][22] of the gear pair was carried out by the finite element software before and after optimization. Only the rotational degrees of freedom of pinion and gear axes were retained, the rotational angular velocity of pinion axis was set to 0.5 rad/s, and a torque of 6 NÁm was applied to gear axis.…”

Section: Optimal Design Examplementioning

confidence: 99%

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Strength analysis and tooth shape optimization for involute gear with a few teeth

Sun

2018

Advances in Mechanical Engineering

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As a result of the inadequate carrying capacity and poor meshing performance of gears with a few teeth, the reasonable and optimal choice of parameters is a key step in design. Aiming at this problem, the stress equation for gear pairs with a few teeth was derived and it is discovered that the main failure mode of gears with a few teeth is pitting on contacting surface. At the same time, the results of theoretic analysis were also verified by strength test. A new optimization method of parameters which aimed at minimizing the contact stress was presented based on equal bending fatigue life at the tooth root of pinion and gear. The equation was solved by the genetic algorithm and reasonable design parameters are obtained. Tooth contact analysis based on finite element method is carried out and the results demonstrated that the method presented was an effective way to enhance the carrying capacity and meshing performance of gear pair with a few teeth. The study in this article laid a solid foundation for the further promotion of gear transmission with a few teeth.

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Section: Constraintsmentioning

confidence: 99%

Section: Optimal Design Examplementioning

confidence: 99%

Strength analysis and tooth shape optimization for involute gear with a few teeth

Sun

2018

Advances in Mechanical Engineering

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“…Many researchers have proposed several methods to predict the contact pattern and the gear mesh compliance: experimental method, such as photo elastic measurement and ink marking [1,2], analytical methods [3][4][5][6], applying the elastic contact theory for LTCA, and finite element method [7][8][9][10]. From all the methods, FEM is the most effective calculation technique to predict the root bending stress, contact stress distribution, static transmission error, and mesh stiffness [11][12][13][14][15], neglecting the difficulties of preparing FEM beforehand. A two-dimensional (2D) spur gear FEM is built by Wang [16] to calculate the static transmission error, single and combined torsional mesh stiffness, tooth load-sharing ratio, maximum tooth root stress, and surface contact stress against various input torques over a complete mesh cycle.…”

Section: Introductionmentioning

confidence: 99%

Parameterized High‐Precision Finite Element Modelling Method of 3D Helical Gears with Contact Zone Refinement

Liu

Zhao

Liu

et al. 2019

Shock and Vibration

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In order to perform a tooth contact analysis of helical gears with satisfactory accuracy and computational time consuming, a parameterized approach to establish a high-precision three-dimension (3D) finite element model (FEM) of involute helical gears is proposed. The enveloping theory and dentiform normal method are applied to deduce the mathematical representations of the root transit curve as well as the tooth profile of the external gear in the transverse plane based on the manufacturing process. A bottom-up modelling method is applied to build the FEM of the helical gear directly without the intervention of CAD software or creating the geometry model in advance. Local refinement methodology of the hexahedral element has been developed to improve the mesh quality and accuracy. A computer program is developed to establish 3D helical gear FEM with contact region well refined with any parameters and mesh density automatically. The comparison of tooth contact analysis between the coarse-mesh model and local refinement model demonstrates that the present method can efficiently improve the simulation accuracy while greatly reduce the computing cost. Using the proposed model, the tooth load sharing ratio, static transmission error, meshing stiffness, root bending stress, and contact stress of the helical gear are obtained based on the quasistatic load tooth contact analysis. This methodology can also be used to create other types of involute gears, such as high contact ratio gear, involute helical gears with crossed axes, or spiral bevel gears.

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“…Sankar and Nataraj [19] proposed a modification design approach for increasing the tooth strength in spur gear. Wang et al [20] proposed a method to simulate residual stress field of planetary gear. Li and Kahraman [21] proposed a tridynamics model for spur gear pairs.…”

Section: Introductionmentioning

confidence: 99%

Research on the Design and Modification of Asymmetric Spur Gear

Deng

Hua

Han

2015

Mathematical Problems in Engineering

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A design method for the geometric shape and modification of asymmetric spur gear was proposed, in which the geometric shape and modification of the gear can be obtained directly according to the rack-cutter profile. In the geometric design process of the gear, a rack-cutter with different pressure angles and fillet radius in the driving side and coast side was selected, and the generated asymmetric spur gear profiles also had different pressure angles and fillets accordingly. In the modification design of the gear, the pressure angle modification of rack-cutter was conducted firstly and then the corresponding modified involute gear profile was obtained. The geometric model of spur gears was developed using computer-aided design, and the meshing process was analyzed using finite element simulation method. Furthermore, the transmission error and load sharing ratio of unmodified and modified asymmetric spur gears were investigated. Research results showed that the proposed gear design method was feasible and desired spur gear can be obtained through one time rapid machining by the method. Asymmetric spur gear with better transmission characteristic can be obtained via involute modification.

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Finite Element Residual Stress Analysis of Planetary Gear Tooth

Cited by 10 publications

References 21 publications

Strength analysis and tooth shape optimization for involute gear with a few teeth

Strength analysis and tooth shape optimization for involute gear with a few teeth

Parameterized High‐Precision Finite Element Modelling Method of 3D Helical Gears with Contact Zone Refinement

Research on the Design and Modification of Asymmetric Spur Gear

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