Samin Akbari - Presently, Graduate Student, School of Mechanical Engineering, Sharif University of Technology
Aghil Yousefi-Koma - Assistant Professor, School of Mechanical Engineering, University of Tehran
Esmaeel Khanmirza - Graduate Student, School of Mechanical Engineering, University of Tehran

This paper deals with analytical and numerical system identification (system ID) techniques of flexible structures with piezoelectric actuators (i.e. smart structures). Numerical system ID methods developed here are beneficial in optimization of location and size of actuators and sensors of the smart structure as well as control design and implementation. Accuracy verification of the numerical methods is performed using analytical system ID, which derives the dynamic model of the structure from differential equations. In the first numerical system ID technique, Finite Element Method (FEM) is employed to model the dynamic system and to obtain the Frequency Response Function (FRF). Then the µ synthesis technique is used to match a transfer function to the FRF plot. The other numerical method is developed by reducing the order of the FEM model, defining master nodes. The analytical FRF matches well with numerical simulations using FEM.

Smart structures - Piezoelectrics - System Identification - FEM method - Master nodes