Modeling and Simulation of an Active Vibration Control System for a Flexible Structure Using Finite Difference Method

Abstract

This paper is focused on modeling and simulation of an active vibration control (AVC) system for a rectangular flexible thin plate with all clamped edge through the use of position feedback. The plate system was first modeled using Finite Difference (FD) approach. Then, the validity of the obtained model was investigated through comparative studies between the plate natural frequencies predicted by the model and the exact values of resonance modes. The control algorithm was then implemented within the FD simulation platform. Different types of disturbances were applied to excite the plate system at excitation point and the performance of the controller in reducing the unwanted vibration was evaluated. Results of the study demonstrate the effectiveness of the proposed control strategy to attenuate the unwanted vibrations of the flexible thin plate system.