Linear Modeling of a Flexible Substructure Actuated through   Piezoelectric Components for Use in Integrated Control/Structure Design
  This study presents a generic TITOP (Two-Input Two-Output Port) model of a substructure actuated with embedded piezoelectric materials as actuators (PEAs), previously modeled with the FE technique. This allows intuitive assembly of actuated flexible substructures in large flexible multi-body systems. The modeling technique is applied to an illustrative example of a flexible beam with bonded piezoelectric strip and vibration attenuation of a chain of flexible beams. 
Jose Alvaro Perez, Thomas Loquen, Daniel Alazard and Christelle Pittet
cs.SY