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A fractional order friction model
Tianzhu Xun1, Pengchong Chen2, Shaohua Wang1
1School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China.
A novel fractional order friction model (FOFM) accurately captures complex friction behaviors like hysteresis and the Stribeck effect using only 7 parameters. This dynamic model offers superior accuracy and simplicity compared to existing models.
Area of Science:
- Mechanical Engineering
- Control Systems
- Physics of Materials
Background:
- Friction modeling is crucial for dynamic systems.
- Existing models often require numerous parameters and struggle with complex behaviors.
Purpose of the Study:
- To propose a new dynamic model for friction.
- To achieve accurate friction modeling with fewer parameters.
- To validate the model's performance against experimental data.
Main Methods:
- Developed a fractional order friction model (FOFM).
- Utilized particle swarm optimization for parameter identification.
- Conducted simulations and experimental validation.
Main Results:
- The FOFM accurately models sliding and pre-sliding friction.
- It captures hysteresis, non-local memory, Stribeck effect, and friction lag.
- The model uses only 7 parameters, outperforming the GMS model in accuracy and complexity.
Conclusions:
- The proposed FOFM offers a superior approach to friction modeling.
- Its reduced parameter count and enhanced accuracy make it suitable for various applications.
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