Dynamic Modeling and Vibration Suppression of FGM Plate Under Thermo-Electro-Mechanical Loads

In the field of engineering, functionally graded materials (FGM) play a critical role in high-temperature environments. Considering the inevitable vibration issues during their application, this study conducts an in-depth investigation into the vibration suppression of FGM plates under thermo-electro-mechanical loads. First, the dynamic model of FGM plates under thermo-electro-mechanical loads is established, and the accuracy of the model is verified by comparing it with the existing literature and the COMSOL finite element model. Then, the mutual conversion between the fuzzy logic controller and the LQR optimal controller is realized by the idea of switching. The simulation results show that the combined fuzzy-optimal controller inherits the robustness of fuzzy logic control in suppressing forced vibration response and compensates for the oscillation phenomenon caused by fuzzy logic control in suppressing-free attenuation vibration. Finally, the results of parameter influence analysis show that with the increase of power law index in ceramic volume fraction and the enlargement of temperature gradient range, the overall stiffness characteristics of the structure gradually weaken while the vibration control effect is enhanced.