Research on the Dynamic Characteristics of Piezo-Driven Flexible Wings Based on Dynamic Mode Decomposition

The aerodynamic properties of flexible wings can be improved through shape morphing using piezocomposite materials. This study established a piezo-driven flexible wing model and investigated its structural dynamic characteristics under the coupling of structural dynamics and electric field using the Dynamic Mode Decomposition with Control (DMDc) method. By employing this approach, the study examined the dynamic characteristics of wings under multi-field coupling conditions, revealing the nature of the system's complex dynamics. The study concluded the following: Firstly, the DMDc method can effectively capture the structural dynamic characteristics of high aspect ratio wings, including vibration modes and frequency responses, with the best accuracy observed in frequency response capture, the maximum relative error is less than 0.001%. Additionally, the utilization of the dynamic mode decomposition method enables the establishment of a system's state-space model and prediction of its dynamic behavior effectively, with displacement prediction errors typically within 11.7%. This study will provide insights for the design of control methods for high aspect ratio flexible wings.