Vibration control of smart cantilever beam using finite element method

This work aims at developing a new dynamic model for the vibration control using the finite element analysis using comparing the effects of different controllers on system performance. The finite element method (FEM) is used to derive the flexible beam model. Frequency analysis (modal and harmonic) of the model is performed using ANSYS software in 4 different cases. In each of the 4 cases, the state space model of the beam was extracted in workspace of MATLAB based on result of its frequency analysis done in ANSYS. A PID controller was designed based on the model obtained from the first case in a MATLAB based environment and validated on the other 3 cases. To achieve better system performance, three more intelligent controller systems were considered: PD like Fuzzy, PID-AT (PID auto-tuning) and STFC (self-tuning fuzzy controller). In comparison with PID, PD like Fuzzy and PID-AT controllers, the system under effect of STFC shows the least overshoot, least rise time and least settling time. The three studied intelligent controller types based on fuzzy logic (PD like Fuzzy, PID-AT and STFC) achieved much improved system performance with the STFC showing the best system performance. (C) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.