Energy transduction analyses of piezoelectric based vibration control of smart structures

Passive vibration shunt control using piezoelectric materials and an electrical network can remove vibration energy from structures. However, the vibration shunt control efficiency relies on the optimization of the vibration energy transfer between a structure and a Lead-Zirconate-Titanate piezoelectric ceramic material. We present an analytical study of a parallel resistor-inductor piezoelectric vibration shunt control on a beam structure using Hamilton’s principle and Galerkin’s method. The influence of the material’s mechanical property on vibration energy transfer between the structure and the LeadZirconate-Titanate is discussed. The results of the vibration shunt control with various materials obtained from numerical modeling and experiments are discussed and corroborated. ∗School of Aerospace, Mechanical & Manufacturing Engineering, RMIT University Bundoora East Campus, Melbourne, Australia. mailto:[email protected] †School of Civil & Chemical Engineering, RMIT University City Campus, Melbourne, Australia. mailto:[email protected] See http://anziamj.austms.org.au/V47EMAC2005/Cao for this article, c © Austral. Mathematical Soc. 2007. Published May 26, 2007. ISSN 1446-8735