Nonlinear dynamic modeling and analysis of helical gear system with time-varying backlash caused by mixed modification

Chen, Jiajun; Zhu, Rupeng; Chen, Weifang; Li, Miaomiao; Yin, Xunmin; Dai, Guanghao

doi:10.1007/s11071-022-07872-y

Cited by 12 publications

(3 citation statements)

References 36 publications

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“…Among them, in Chen's research, gear examples included two pairs of gear: a pair of low contact ratio gear and a pair of high contact ratio gear. Taking a pair of helical gears as example, Chen et al [29] established a nonlinear dynamic model with considering the time-varying backlash caused by mixed modification, analyzed the mesh stiffness characteristics and proposed the method to reduce the fluctuation of mesh stiffness. Wang et al [30] established an analytical model for the mesh stiffness calculation of helical gears, and studied the impact of tooth profile errors caused by tip modification and lead crowning on time-varying mesh stiffness.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

Yang,

Shi

et al. 2023

Preprint

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The mesh stiffness characteristics of the gear pair have direct effect on its transmission error, and then affect the noise and vibration level of the gear. To control the instability of gear meshing caused by tooth deformation, the tooth tip modification is an important mean, but it will undoubtedly introduce tooth profile errors. Firstly, considering the inconsistency between base circle and root circle under different tooth numbers, the potential energy method is improved to calculate the mesh stiffness of spur gear pair. Then, based on the theory of tooth tip modification and improved potential energy method, a new analytical method for mesh stiffness calculation considering tooth profile error is proposed. Taking a pair of spur gear as example, the finite element(FE) model is established, and the correctness of the proposed method is verified by comparing the time-varying mesh stiffness, mean stiffness, and peak-to-peak stiffness. The comparison results show that the method proposed in this paper can ensure high calculation accuracy while achieve lower computation cost. Finally, the sensitivity analysis is conducted on modification parameters including curve types, amount, and length. The influence of different parameters on mesh stiffness characteristics, bearing capacity, and noise problem is investigated.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

Yang,

Shi

et al. 2023

Preprint

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“…[11,12] analyzed the electromechanical coupling dynamic characteristics of mechanical system in detail, and proposed the theoretical analysis method of electromechanical dynamics to solve this kind of problem. [13] established the electromechanical coupling model of machine tool motor spindle and studied the relationship between current and motor spindle output speed characteristics under electromagnetic torque coupling. In addition, for electromechanical systems with multiple coupling relationships, [14] proposed the basic idea of global coupling analysis and parallel partial coupling analysis for the multiple coupling of electromechanical parameters and electrical parameters of modern large-scale complex electromechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Dynamic and vibration characteristics of flexible robot manipulator under complex electromechanical coupling

Zhang¹,

Wen²,

Ye³

et al. 2022

J. meas. eng.

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Aiming at the complex electromechanical coupling effect at the joints of RP (rotating parallel) flexible robot, the electromechanical coupling dynamics and vibration response characteristics driven by AC servo motor, as well as the dynamic starting characteristics of the motor are studied. The physical model including electromagnetic and mechanical system coupling is established, and the dynamic model of the whole system is derived based on the overall electromechanical coupling effect and Lagrange Maxwell equation. With the help of Matlab/Simulink, a virtual simulation platform is built to analyze the output speed characteristics of the motor drive end and the motion of the moving base. Finally, through the joint simulation of Matlab/Simulink dynamic simulation model and Adams/controls virtual prototype model, the vibration characteristics of flexible manipulator under electromechanical coupling are obtained. The simulation results show that the electromechanical coupling effect of the motor drive end has a significant impact on the dynamic characteristics of the flexible manipulator. The conclusions obtained are of great value for improving the chiral energy of flexible machinery.

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“…This model was compared with non-modified gear pairs and traditional topology modified gear pairs. Chen et al [13] developed a nonlinear dynamic model for a hybrid modified helical gear pair, considering time-varying backlash, dynamic meshing force, and friction torque. The study analyzed how the modification amount affects the system's bifurcation characteristics, with chaos being suppressed through optimization of multiple shaping parameters.…”

mentioning

confidence: 99%

Nonlinear dynamic modeling and dynamic characteristics analysis of a coaxial reverse closed differential herringbone gear transmission system considering floating backlash

Han,

Dong,

Zhang

et al. 2024

Preprint

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A nonlinear dynamic model of Bending-Torsional-Axial-Pendular (BTAP) has been developed for a Coaxial Reverse Closed Differential Herringbone Gear Transmission System (CRCDHGTS) with consideration of gear floating. This model takes into account factors such as gear floating backlash, tooth surface friction, gyroscopic effect, Time Varying Meshing Stiffness (TVMS), meshing damping, and dynamic meshing parameters. To investigate the impact of gear floating on the nonlinear dynamic characteristics of the system, a gear floating model was developed using the concept of gear floating. The calculations included determining gear floating backlash and TVMS with consideration for gear floating. The impact of input speed, initial backlash, gear float value, and system transmission error on the nonlinear dynamic vibration characteristics is analyzed using various diagrams including bifurcation diagram, Maximum Lyapunov Exponent (MLE), time history diagram, frequency diagram, phase diagram, and Poincaré section diagram. The research reveals that gear floating diminish the chaotic motion behavior of the system under different excitation factors, improving the system's global bifurcation characteristics. The developed BTAP coupled nonlinear dynamic model provides more accurate numerical solutions compared to models with fixed meshing parameters, making it more suitable for analyzing the system's dynamic characteristics. Analysis of the gear floating value indicates an optimal range of 0-20μm and 34-43μm for generating periodic motion, with floating values around 10-20μm showing better performance in reducing the negative effects of initial backlash and transmission error.

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Nonlinear dynamic modeling and analysis of helical gear system with time-varying backlash caused by mixed modification

Cited by 12 publications

References 36 publications

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

Dynamic and vibration characteristics of flexible robot manipulator under complex electromechanical coupling

Nonlinear dynamic modeling and dynamic characteristics analysis of a coaxial reverse closed differential herringbone gear transmission system considering floating backlash

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