Forced vibration analysis of composite beams based on the variable separation method

Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

“…Such variable separations have been successfully applied to composite structures in static case [47,48]. The forced vibration problem of composite beams subjected to harmonic excitation has also been considered previously by the authors of this study by using the Proper Generalized Decomposition framework [49]. In the latter reference, the displacements are written under the form of separated variable representation, i.e.…”

“…This section is dedicated to the dynamic analysis of some piezoelectric composite beams in order to evaluate the proposed methodology. It should be mentioned that the PGD method has been successfully used to the harmonic analysis of composite beams [49] but also to solve static problems of piezoelectric plates [50]. This paper aims to extend the PGD formulation to the harmonic analysis of piezoelectric composite beams in the frequency domain.…”