Plate vibration by complex envelope vectorization

Since SEA was originally proposed at the beginning of the sixty's, any new model for the analysis of high frequency vibroacoustic problem uses an appropriate variable transformation leading to new sets of goverrning equations for the structural-acoustic problem that are expected to be computationally more convenient than the original set of equations. Usually this new variable is the energy, but in the Complex Envelope Displacement Analysis (CEDA) the use of a complex displacement is proposed, mapping the high frequency response of the system into a quasi-static field. To extend the application of CEDA from one-dimensional to more complex systems, a vectorization approach was recently proposed: the new advances of this procedure are here exposed and discussed