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Qualitative approach to compare hysteretic models via restoring force surfaces
Jakub Mrowka1, Kajetan Dziedziech2, Andrzej Klepka2
1AGH University of Science and Technology, Krakow, Poland. jakmrowka@gmail.pl.
Scientific Reports
|May 7, 2025
Summary
This study compares hysteresis models like Preisach and Bouc-Wen for nonlinear mechanical systems. Accurate modeling is crucial for simulating contact damage and ensuring reliable engineering applications.
Area of Science:
- Mechanical Engineering
- Nonlinear Dynamics
- Materials Science
Background:
- Hysteresis in nonlinear mechanical systems, especially with contact-type damage, presents significant modeling challenges.
- Accurate simulation of these nonlinearities is critical for reliable analysis, design, and diagnosis of mechanical systems.
- Selecting the appropriate hysteretic model is paramount for capturing complex system dynamics.
Purpose of the Study:
- To compare the efficacy of established hysteretic models in simulating nonlinear mechanical systems with contact-type damage.
- To identify the most suitable model for real-world applications based on experimental validation.
- To enhance the understanding of hysteresis modeling for improved engineering simulations.
Main Methods:
- Evaluation of Preisach, Contact Acoustic Nonlinearity (CAN), Bouc-Wen, Dahl, and LuGre models.
- Utilizing experimental data from controlled tests on steel samples.
- Employing spectral analysis, time-domain analysis, and the Restoring Force Surface (RFS) method for model assessment.
Main Results:
- Comparative analysis of model performance in capturing hysteresis dynamics.
- Validation of model accuracy against experimental data from steel samples.
- Insights into the strengths and weaknesses of different hysteresis models.
Conclusions:
- Careful selection of hysteresis models is essential for accurate simulations in engineering applications.
- The study provides a foundation for refining existing models and developing new ones for complex mechanical systems.
- Understanding hysteresis is key to advancing the design, optimization, and diagnosis of mechanical systems.
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