Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction
Abstract
:1. Introduction
- We establish a new sliding friction model between the tooth surfaces considering the influence of the transverse vibration.
- Based on the sliding friction model, a new nonlinear dynamic model with dynamic meshing parameters and sliding friction is proposed.
- The effects of the input speed and friction coefficient on the dynamic response of the new model and the previous model are compared and analyzed.
2. Dynamic Model for Spur Gear System
2.1. Dynamic Meshing Parameters under the Influence of Transverse Vibration
2.2. DMF and Sliding Friction Force/Torque under the Influence of Transverse Vibration
3. Derivation of Equations of Motion
4. Comparison and Discussion of Dynamic Response
4.1. System Parameters and Model Validation
4.2. Effect of the Input Speed on System Dynamic Response
4.2.1. Chaotic Response of the System with and
4.2.2. Comparison of Dynamic Responses at Different Input Speed with
4.3. Effect of the Friction Coefficient on System Dynamic Response
4.3.1. Chaotic Response of the System at and
4.3.2. Comparison of Dynamic Responses under Different Friction Coefficients at
4.3.3. Comparison of Dynamic Responses under Different Friction Coefficients at
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Parameters | Symbols | Values |
---|---|---|
Module/(mm) | 10 | |
Number of teeth | 20/20 | |
Pressure angle of reference circle/(deg) | 20 | |
Addendum coefficient | 1 | |
Tip clearance coefficient | 0.25 | |
Face width/(mm) | 30 | |
Gear mass/(kg) | 6.57/6.57 | |
Moment of inertia/(kg·m2) | 0.0365/0.0365 | |
Designed contact ratio | 1.5568 | |
Equivalent shaft-bearing stiffness/(N/m) | 1 × 108 | |
Equivalent shaft-bearing damping/(N·s/m) | 512.64/512.64 | |
Torsional damping/(N·s/m) | 143.29/143.29 |
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Liu, H.; Zhang, D.; Liu, K.; Wang, J.; Liu, Y.; Long, Y. Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction. Symmetry 2023, 15, 1530. https://doi.org/10.3390/sym15081530
Liu H, Zhang D, Liu K, Wang J, Liu Y, Long Y. Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction. Symmetry. 2023; 15(8):1530. https://doi.org/10.3390/sym15081530
Chicago/Turabian StyleLiu, Hao, Dayi Zhang, Kaicheng Liu, Jianjun Wang, Yu Liu, and Yifu Long. 2023. "Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction" Symmetry 15, no. 8: 1530. https://doi.org/10.3390/sym15081530