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Nonlinear dynamic characteristics of modified variable hyperbolic circular arc tooth trace cylindrical gears
1School of Engineering and Technology, Zunyi Normal University, Zunyi, 563006, China. scumdq@163.com.
Scientific Reports
|April 29, 2025
Summary
Tooth surface modification of variable hyperbolic circular arc tooth trace (VH-CATT) cylindrical gears significantly improves nonlinear dynamic characteristics. This enhancement reduces vibration, noise, and transmission errors, leading to increased service life and bearing capacity.
Area of Science:
- Mechanical Engineering
- Dynamics and Control Systems
- Tribology
Background:
- Nonlinear dynamic characteristics are critical performance indicators for variable hyperbolic circular arc tooth trace (VH-CATT) cylindrical gears.
- Accurate analysis of these dynamics is essential for predicting and enhancing the service life of VH-CATT gear systems.
Purpose of the Study:
- To investigate the nonlinear dynamic characteristics of VH-CATT cylindrical gears.
- To analyze the impact of tooth surface modification on these dynamic behaviors.
- To provide a basis for improving the bearing capacity of VH-CATT gears.
Main Methods:
- Formulas for time-varying stiffness, transmission error, and meshing impact were established.
- A mathematical model of modified VH-CATT gears was developed based on forming theory.
- Controllable design and tooth surface optimization models were used to determine optimal modification parameters.
- A bending-torsion coupling dynamic model was employed to assess modification effects, validated by transmission experiments.
Main Results:
- Tooth surface modification led to reduced load, increased stiffness, and decreased transmission error (LTE) and its fluctuation.
- Modification shifted the bifurcation diagram, transforming complex motions into periodic ones within a specific frequency range.
- Modified gears exhibited reduced vibration displacement, lower transmission error, and improved transmission efficiency compared to unmodified gears.
Conclusions:
- Tooth surface modification effectively enhances the nonlinear dynamic characteristics of VH-CATT cylindrical gears.
- The modifications are beneficial for reducing vibration and noise, thereby improving the overall performance and bearing capacity.
- Experimental validation confirmed the theoretical findings, supporting the practical application of these modifications.
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