Calculation of medium-frequency vibrations over a wide frequency range Original Research Article

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.