Dynamic Characteristics of Spur Gear Pair with Dynamic Center Distance and Backlash

Effect of dynamic backlash and rotational speed is investigated on the six-degree-of-freedom model of the gear-bearing system with the time-varying meshing stiffness. The relationship between dynamic backlash and center distance can be defined clearly. The nonlinear differential equations of the mod...

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Published in:International journal of rotating machinery 2019-01, Vol.2019 (2019), p.1-9
Main Authors: Zhang, Lei, Zhao, Weiqiang, Liu, She, Liu, Jie
Format: Article
Language:English
Subjects:
Amplitudes
Behavior
Chaos theory
Dynamic characteristics
Economic models
Failure analysis
Fractals
Friction
Mathematical models
Meshing
Nonlinear differential equations
Nonlinear equations
Scientists
Spur gears
Stiffness
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cited_by cdi_FETCH-LOGICAL-c426t-63b2b81e6130802c9799863d09b0cbd222987441f55bb0800ffa2863886939ae3
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container_issue 2019
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container_title International journal of rotating machinery
container_volume 2019
creator Zhang, Lei
Zhao, Weiqiang
Liu, She
Liu, Jie
description Effect of dynamic backlash and rotational speed is investigated on the six-degree-of-freedom model of the gear-bearing system with the time-varying meshing stiffness. The relationship between dynamic backlash and center distance can be defined clearly. The nonlinear differential equations of the model are solved by the Newmark-β method. The results show that system amplitude increases in the wake of increasing rotational speed. After reaching a certain rotational speed, the system jumps from periodic motion to chaos motion, and the effective amplitude is changed violently. Comparing the dynamic backlash with fixed backlash, the amplitude of the dynamic backlash is augmented and the frequency components are diversified. The vibration displacement is enlarged by the dynamic backlash and the chaotic behavior of the system becomes complex with increasing rotational speed. The numerical results provide a useful reference source for engineers to select rotational speed section for steady running.
doi_str_mv 10.1155/2019/2040637
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The vibration displacement is enlarged by the dynamic backlash and the chaotic behavior of the system becomes complex with increasing rotational speed. The numerical results provide a useful reference source for engineers to select rotational speed section for steady running.</description><identifier>ISSN: 1023-621X</identifier><identifier>EISSN: 1542-3034</identifier><identifier>DOI: 10.1155/2019/2040637</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Amplitudes ; Behavior ; Chaos theory ; Dynamic characteristics ; Economic models ; Failure analysis ; Fractals ; Friction ; Mathematical models ; Meshing ; Nonlinear differential equations ; Nonlinear equations ; Scientists ; Spur gears ; Stiffness</subject><ispartof>International journal of rotating machinery, 2019-01, Vol.2019 (2019), p.1-9</ispartof><rights>Copyright © 2019 Jie Liu et al.</rights><rights>Copyright © 2019 Jie Liu et al. 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subjects Amplitudes
Behavior
Chaos theory
Dynamic characteristics
Economic models
Failure analysis
Fractals
Friction
Mathematical models
Meshing
Nonlinear differential equations
Nonlinear equations
Scientists
Spur gears
Stiffness
title Dynamic Characteristics of Spur Gear Pair with Dynamic Center Distance and Backlash
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