Design Of The Piezoelectric Actuator And Study On Active Structure Vibration Control Mechanism Of Double-Layer Spherical Reticulated Shell

Characteristic and feature performance of piezoelectric material are analyzed. The one-dimensional piezoelectric equation is deduced. Application of the one-dimensional piezoelectric equation to design piezoelectric stacks which are used as actuator. Based on piezoelectric material designed an actuator which has sensing and actuating Properties, to adaptively adjust and active structure vibration, having the function to output and detect control forces. Then the actuator's performance parameters are analyzed and the numerical example indicates. Also the actuator has been used to active structure vibration control of double-layer spherical reticulated shell; the results show that the actuator is very effective.The model of active structure vibration control of double-layer spherical reticulated shell is established and the equation of the model is given. The position matrix of control forces is deduced when the actuators replace the structure members. At the same time, has studied the initiative control technology in Civil Engineering structure vibration control, and has inferred LQR and LQG control algorithm of vibration.This article based on LQR control algorithm and double-layer spherical reticulated shell structure's characteristic, proposed one kind adapts in the double-layer spherical reticulated shell and so on has the multi-axis of symmetry structure system the actuator positions/numbers optimization method of initiative control. And the positions/numbers of actuator which designed for active structure vibration control of double-layer spherical reticulated shell are optimized by this optimized method. The optimized result indicated that arrange the actuators in the double-layer spherical reticulated shell the ring direction is better than the radial direction, the radial direction and the ring direction more approach the outer circle control effect to be more obvious.On base of the optimization of the actuator positions/numbers establishes the LQR control algorithmic routine using the Matlab software and the Simulink software package to carry on the initiative control simulation analysis to the double-layer spherical reticulated shell under the different earthquake wave action. The simulation result indicated that the double-layer spherical reticulated shell the active control effect is obvious. Meanwhile the earthquake wave selection principles using in time history analysis are introduced.