Analysis of Nonlinear Dynamics and Chaos Control in Gear Transmission System with Stochastic Perturbation

Wang, Jingyue; Wang, Haotian

doi:10.5755/j01.mech.23.2.13576

Cited by 5 publications

(2 citation statements)

References 25 publications

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“…Lai et al [6,7] propose a new chaotic system and illustrate the bifurcation and chaotic properties of the system by numerical analysis. Wang et al [8] verified the effectiveness and feasibility of removing chaos through feedback and non-feedback control methods. Lai et al [9] designed a controller based on the passive control method, which is able to maintain the stability of the system when it is used.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

2022

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In the transmission process of gear system, the change of load will make the system in different states of motion, which affects the transmission efficiency of gear system. It is important to investigate the nonlinear dynamic characteristics of gear system under different load states. Using straight cylindrical gears as the object of study, the concentrated mass method is used to establish a dynamic model that takes into account nonlinear factors such as tooth side clearance, time-varying meshing stiffness and transmission errors. The differential equations of the system are solved by the Longe-Kutta method to obtain the bifurcation diagram, the maximum Lyapunov exponent diagram and the phase plane diagram of the gear system to analyze the effect of the meshing damping ratio on the dynamic characteristics of the system under different load states. The results show that the influence of the engagement damping ratio on the dynamic characteristics of the system is greater under light load conditions, showing different states of motion as the engagement damping ratio gradually increases. Under heavy load conditions, the effect of the engagement damping ratio on the dynamic characteristics of the system is small. Appropriately increasing the mesh damping ratio is beneficial to the gear system to avoid the chaotic zone and maintain a stable cyclic motion state. The results of the study provide a reference for the design of gear systems with variable loads.

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Section: Introductionmentioning

confidence: 99%

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

2022

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“…Wang et al. 27 used five methods to control the chaotic vibration in a single-degree of freedom system. These researchers used linear and nonlinear feedback control, as well as three types of non-feedback control of periodic signal methods, a constant load method and a phase method.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects

Chen

Xin

Sheng

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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Due to changes in the working temperature in a shearer transmission system, it is easy to cause the transmission gear to work abnormally. In this paper, the first gear pair in a cutting transmission system of a permanent magnet semi-direct drive shearer was taken as the research object. The coupling effect of time-varying meshing stiffness, meshing damping, bearing clearance and gear backlash under thermal deformation were fully considered. Then, a three degree of freedom nonlinear dynamic model of the gear pair was established, and a dimensionless analysis was performed. Finally, the Runge-Kutta method was used in the numerical calculations. The motion characteristics of the system were analysed through the gear’s bifurcation diagram of the temperature at different frequencies and the bifurcation diagram of the frequency at different temperatures. The meshing state was analysed at different frequencies and temperatures. For the chaotic motion generated in the system, a periodic resonance excitation was applied to control unstable motion. This study has revealed various specific effects of the temperature on the dynamic characteristics of the system. In addition, the periodic excitation method can effectively control the nonlinear motion in the system and realise the control of the chaos under the temperature effect.

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Nonlinear dynamic analysis and chaos control of multi-freedom semi-direct gear drive system in coal cutters

Sheng

Wang

et al. 2019

Mechanical Systems and Signal Processing

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Analysis of Nonlinear Dynamics and Chaos Control in Gear Transmission System with Stochastic Perturbation

Cited by 5 publications

References 25 publications

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

Bifurcation and Chaos Analysis of Gear System With Clearance Under Different Load Conditions

Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects

Nonlinear dynamic analysis and chaos control of multi-freedom semi-direct gear drive system in coal cutters

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