Plate Modeling and Meshing with Ansys for Vibration Control Analysis

First, plate modeling and mesh generation are performed using Ansys, followed by preliminary calculations. The mass matrix (M) and stiffness matrix (K) of the plate are then exported from Ansys and imported into MATLAB for vibration control analysis. During this process, MATLAB's algorithmic capabilities can automatically compute the damping ratio, from which the damping matrix C is generated using the relationship C = αM + βK (Rayleigh damping model). Frequency response curves are plotted to identify resonance peaks, typically implemented through frequency sweep algorithms using functions like freqs or bode in MATLAB. Proportional control is applied to suppress vibrations, with control effectiveness evaluated through time-domain simulations or root mean square (RMS) response metrics. Additional control strategies such as integral and derivative control can be explored to optimize performance, implemented via PID controller tuning algorithms. Comparative analysis of different control strategies is conducted to select the optimal approach, utilizing performance indices like settling time or overshoot percentage. Finally, research findings are benchmarked against prior studies, and implications for future research in adaptive control or real-time implementation are discussed.