Calculation of medium-frequency vibrations over a wide frequency range

An enhancement of the “variational theory of complex rays” (VTCR) is being developed in order to calculate the vibrations of slightly damped elastic structures in the medium-frequency range. Here, the emphasis is put on the extension of this theory to the analysis over a wide frequency range. The solution is sought in the form of an original decomposition: the mean value and its complementary part over the frequency range. Numerical examples show the capability of the VTCR to predict the vibrational response of a structure in a frequency range.