This study proposes an economical and effective method of reducing vibration in a dual-plate mechanism. The vibrating mechanism comprises two (upper and lower) rigid body plates joined by a spring at each of the four corners. The lower rigid plate is supported from the ground by the same springs at its four corners. We attached two point-mass Tuned-Mass-Dampers (dual TMDs) to the bottom of each rigid plate, and adjusted their positions to optimize the effectiveness of vibration reduction. Lagrange's equation was used to derive the motion of the dual rigid plates. Vibration reduction effect was analyzed following attachment of the TMDs at different positions in the system. We implemented a practical model, measured the amplitude of vibration, and conducted a comparison between the theoretical and empirical results. The experimental results demonstrate that the optimal vibration reduction effect was achieved when one of the dual TMDs was attached at a position below the applied force point, and the other one was attached at the diagonal quadrant endpoint. This combination was the most effective in reducing the amplitude of vibrations of the plates. The frequency response graph shows that theoretical estimates correspond to experimental results.
Journal of Aeronautics Astronautics and Aviation 45(2), pp.121-134