An approach in which a heat conduction equation is used to model high-
frequency vibration propagation in complex structures is offered. A di
rect method is used to identify the parameters of the approach. In par
ticular, the vibrational temperature turns out to be equal to the sum
of the acceleration spectral densities in three orthogonal directions.
The other parameters are determined through averaged structural mecha
nical characteristics and some generalized spectra. The accuracy of th
e approach is discussed, and the vibration fields of a cylinder and a
half-space subjected to periodic acoustic impulses are computed.