Vibration energy minimization of a flat plate by shaped PVDF film

This paper proposes a method to minimize the total vibration energy of a flat plate using a shaped PVDF film sensor. Our method addresses this by optimizing the PVDF film's shape so that minimizing the sensor's output is equivalent to minimizing the structure's total vibration energy. The methodology involves formulating control laws for both ideal energy minimization and PVDF film output minimization via modal analysis. The optimal film shape is then found by numerically minimizing an evaluation function defined as the difference between these two control laws. Numerical simulations were performed to validate the proposed technique. The results confirm that the control using the optimally shaped PVDF film significantly suppresses the resonance peaks observed in the case of without control. Furthermore, the control performance was found to be nearly identical to that of the ideal total vibration energy minimization control, demonstrating the effectiveness of the proposed method.