Stochastically optimal active control of a smart truss structure under stationary random excitation

Optimization of the placement and feedback gains of an active bar in a closed-loop control system for random intelligent truss structures under stationary random excitation are studied in this paper. Based on maximization of dissipation energy due to the control action, a mathematical model with reliability constraints on the mean square value of the structural dynamic displacement and stress response is developed. The randomness of the physical parameters corresponding to the structural materials, geometric dimensions and structural damping are included in the analysis, and the applied forces are considered as stationary random excitation. The numerical characteristic of the stationary random responses of a stochastic smart structure is developed. Numerical examples of stochastic truss structures are presented to demonstrate the rationality and validity of the active control model, and some useful conclusions are obtained.