Dynamic stiffness control of piezoelectric ring based on finite difference and hybrid programming simulation

During the flight of hypersonic aircraft, stiffness of some local annular region needs to be enhanced. For the stiffness control system of the ring laminated with piezoelectric sensor and actuator, an annular multi-modes smart element hybrid programming simulation model has been developed to simulate and analyze the closed-loop stiffness control of independent mode. The dynamic partial differential equations of piezoelectric ring are transformed into ordinary differential equations containing sensing and control effect matrix by finite difference method. To solve the big-matrix calculation and multiple iteration problem, hybrid programming smart element simulation system is developed with C++ and MATLAB. The cosine type sensor/actuator controlling the dynamic stiffness of independent mode with displacement/acceleration feedback is employed to be a simulation example. Simulations and analysis are conducted in different conditions of differential density, integral time step and gain ratio, and relatively satisfying result is obtained. Finally, the experimental verification is carried out. This method provides a new solution to the big-data discrete simulation and analysis of complex rotary surface smart structure system.