Abstract:In order to realize active vibration control of truss structure, the dynamic model and optimal vibration control model of the intelligent truss structure are established in this paper, and the method of structural mechanics and optimal vibration modeling method are investigated. Firstly, the mechelectric coupling dynamic formulate of piezoelectric intelligent truss structures is modeled based on the finite element method and Hamilton theory. The coupling stiffness matrix which is related to control voltage is composed in dynamic formulations. The dynamic formulations are simplified by Guyan transformation. This dynamic formulation can be applied to the static/dynamic response analysis subjected to both mechanical and electrical loading. Then, the state space expressions of the dynamic formulations is obtained, and the mathematic model of vibration control is derived according to linear quadratic optimal control theory, the optimal control inputs are obtained through minimizing cost function and solving the Ricattii matrix algebra equation. Finally, the numerical example of plane intelligent truss structure is given to demonstrate the modeling process and algorithm. Simulation results indicate that the vibration response can be attenuated quickly and the effectiveness of vibration suppression is obvious.