Simulink-Based Bouc-Wen Hysteresis Model Implementation

This Simulink-based Bouc-Wen program generates hysteresis curves to simulate nonlinear material behaviors. The Bouc-Wen model is implemented using Simulink blocks to represent the differential equations governing hysteresis phenomena. The implementation typically involves creating subsystems for the Bouc-Wen equations, where key parameters like strength degradation, stiffness degradation, and pinching effects can be configured through mask parameters. The program allows engineers to simulate material nonlinear behavior under various parameter settings and input signals. Through the Simulink model, users can define excitation inputs (such as sinusoidal or earthquake signals) and adjust model parameters including α (ratio of post-yield to pre-yield stiffness), β and γ (shape control parameters), n (smoothness factor), and A (hysteresis amplitude). The model output generates hysteresis curves that plot displacement versus force relationships. This implementation helps engineers analyze material characteristics by visualizing nonlinear hysteresis loops. The model's flexibility enables studies of material behavior under different conditions and their impact on system responses. By modifying parameters through Simulink's parameter workspace or mask dialogs, users can investigate how changes affect hysteresis shape, energy dissipation, and system performance. The hysteresis curves provide intuitive visualization of nonlinear material properties, offering comprehensive analysis for engineering design optimization. The Simulink environment facilitates easy integration with control systems and structural models, making this Bouc-Wen implementation an effective tool for dynamic system simulation and material behavior研究.