An improved analytical model for gear mesh stiffness calculation

Dai, He; Long, Xinhua; Chen, Feng; Xun, Chao

doi:10.1016/j.mechmachtheory.2021.104262

Cited by 61 publications

(19 citation statements)

References 25 publications

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“…A tool for dynamic analysis of chain drive is developed, which can describe all dynamic characteristics of the chain drive, including the polygon effect and the influence of chain plate and sprocket meshing on the chain [ 6 ]. Dai et al carried out in-depth research on the new silent chain by analyzing the power transfer flow and chain plate structure through finite element analysis, analyzed and studied the variation design method, guide plate design method, and kinematic and dynamic characteristics, and studied the fatigue life test method of the silent chain by combining theory and experiment [ 7 ]. Zheng et al conducted an in-depth study on the multibody dynamics analysis process and analyzed the change rule of stress in the meshing process of the pin and chain plate through flexible treatment of the chain plate and pin shaft and rigid and flexible coupling [ 8 ].…”

Section: Related Workmentioning

confidence: 99%

Meshing Mechanism and Simulation Analysis of Silent Chain Based on Rigid-Flexible Intelligent Dynamics Technology

Ding

2022

Computational Intelligence and Neuroscience

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Silent chain is widely used in the field of mechanical transmission. Compared with ordinary chain transmission, it has prominent advantages such as high precision, low noise, and being suitable for high speed and heavy loads. Based on the design concept of intelligent dynamics, the phase variation is carried out. The multiphase transmission silent chain retains the original advantages of the single-phase transmission silent chain, and its structure bearing capacity is improved, the polygon effect is reduced, and the fluctuation, noise, and vibration of elastic edge are improved. Based on rigid-flexible intelligent dynamics technology, the transmission characteristics of a multiphase transmission silent chain system were studied. In this paper, the meshing contact force between the chain plate and the sprocket is described in detail, and the 3d model and dynamic model of the multiphase transmission silent chain are established. Topological optimization method was used to design the lightweight of the multiphase transmission silent chain, and the existing target of lightweight was realized. The dynamics simulation was carried out to extract the dynamics data and analyze the dynamics characteristics such as tight edge fluctuation, instantaneous transmission ratio, and meshing contact force. The results show that the model correctly predicts the dynamic behavior of the system, and the high speed inhibits the lateral fluctuation of the system. The peak value of meshing contact force increases with the increase of rotational speed, and the multiphase drive can be used in practical control system design.

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Section: Related Workmentioning

confidence: 99%

Meshing Mechanism and Simulation Analysis of Silent Chain Based on Rigid-Flexible Intelligent Dynamics Technology

Ding

2022

Computational Intelligence and Neuroscience

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“…Standard involute internal gears are usually used in planetary gear drive because of their simple design and good interchangeability. 34 But the transmission stability will be affected due to the existence of the errors and the load capacity still needs to be improved. So a new internal gear transmission based on spatial involute-helix curve in this article is put forward.…”

Section: Introductionmentioning

confidence: 99%

Mathematical design and meshing analysis of a new internal gear transmission based on spatial involute-helix curve

Liang

Zhao

Meng

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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We present a new internal gear transmission based on spatial involute-helix curve in this article. Firstly, the generation principle of spatial involute-helix curve is proposed according to gear geometry theory. Mathematical design model of the spatial conjugate involute-helix curves is provided through establishing the meshing relationship solved by relative velocity and specific normal vector at contact point. The equations of conjugated spatial involute-helix curve and line of action of contact curves are derived, respectively. Secondly, tooth profiles construction with spatial involute-helix curve pair is carried out by isometric offsetting and kinematics methods. General tooth profiles form and numerical example are proposed in terms of given design parameters. Furtherly, meshing analysis of generated tooth profiles are discussed. Center distance separability and axial errors action are discussed according to the theoretical derivation and simulation process. Contact stress analysis and the comparison are studied by finite element method. Finally, the experimental test of the new gear pair manufactured by CNC technology is provided and general transmission efficiency results and contact conditions of tooth profiles under different error conditions are displayed. Research conclusions show that the new internal gear drive has well transmission property and further study on the contact dynamic and error analysis will be carried out.

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“…Recently, Sainsot and Velex [42] presented a thorough review and analysis of the classic contact deflection formulae in gear simulations and proposed a general formula for contact stiffness in gear teeth. Based on contact mechanics and gear engagement principle, the analytical formula of local contact stiffness is determined [43]. The above research work is very representative, but their work builds on the Hertz contact model and also introduces some empirical formulas, which may bring some errors.…”

Section: Introductionmentioning

confidence: 99%

A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive

Wang

Zhou

et al. 2022

Mathematics and Mechanics of Solids

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As a critical element of time-varying mesh stiffness (TVMS), contact stiffness of a gear drive has been defined based on simplified Hertzian contact stiffness or semi-empirical nonlinear Hertzian contact stiffness in previous works. This study proposes a general contact stiffness model for elastic bodies through piecewise linear interpolation of contact pressure. The TVMS of a spur gear drive is determined through potential energy method and proposed contact stiffness model verified by Hertzian contact theory and finite-element method. Then, the influence of applied load on contact stiffness is studied, and the differences among proposed contact stiffness, simplified Hertzian contact stiffness, and nonlinear Hertzian contact stiffness are analyzed. Results show that contact stiffness increases with the applied load, and the TVMS based on the proposed contact stiffness model is the smallest among the three contact stiffness models. Effects of tooth width and input torque on the TVMS are further discussed. The TVMS becomes bigger with increased tooth width and input torque, but the increase rate decreases as tooth width or input torque increases. These findings indicate that reasonable matching of design parameters is beneficial for increasing load capacity and optimizing the dynamic performance of gear systems.

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An improved analytical model for gear mesh stiffness calculation

Cited by 61 publications

References 25 publications

Meshing Mechanism and Simulation Analysis of Silent Chain Based on Rigid-Flexible Intelligent Dynamics Technology

Meshing Mechanism and Simulation Analysis of Silent Chain Based on Rigid-Flexible Intelligent Dynamics Technology

Mathematical design and meshing analysis of a new internal gear transmission based on spatial involute-helix curve

A general contact stiffness model for elastic bodies and its application in time-varying mesh stiffness of gear drive

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