Qualitative approach to compare hysteretic models via restoring force surfaces

This study addresses the complex problem of modeling hysteresis in nonlinear mechanical systems, particularly in the context of contact-type damage. Hysteresis introduces nonlinearities that are challenging to accurately replicate in simulations, making model selection a critical factor for reliable mechanical system analysis. This research compares several established hysteretic models, including the Preisach, Contact Acoustic Nonlinearity (CAN), Bouc-Wen, Dahl, and LuGre models, aiming to identify the most appropriate model for real-world applications. The models are evaluated using experimental data gathered from controlled tests on steel samples, focusing on how well they capture the nonlinear dynamics characteristic of hysteresis. The evaluation is based on multiple methodologies, including spectral analysis, time-domain analysis, and the Restoring Force Surface (RFS) method. Each of these approaches offers unique insights into how the models capture the complex dynamics of hysteresis. This research highlights the critical need for careful model selection in engineering applications, where accurate simulations are essential for system design, optimization, and diagnosis. By comparing several widely used models, the study contributes to advancing the understanding of hysteresis modeling, paving the way for future research to refine these models for complex mechanical systems.