"Damping of vibrations is often required to improve both the performances and the integrity of engineering. structures, e.g. gas turbine blades. In  some of the authors have proposed a new function to control the. multimode vibrations of a fixed beam. In this article this methodology has been extended to a rotating cantilever. beam. To develop an effective control strategy, and optimize the placement of the active piezoelectric elements in. terms of vibrations amplitude reduction, a procedure has been developed and a new analytical solution has been proposed.. The results obtained have been corroborated by comparison with the results from a multi-physics finite elements. package (COMSOL) and data from other models available in the literature."
Botta F, Dini D, & de Lieto Vollaro R (2013). A new function for the optimal placement of piezoelectric plates to control multimode vibrations of a rotating beam. INTERNATIONAL JOURNAL OF ENGINEERING AND TECHNOLOGY, 5(5), 4472-4488.