A wave intensity technique for the analysis of high frequency vibrations

Abstract A new method for the analysis of high frequency vibrations is presented in which the vibration of each component of the system is represented in terms of a homogeneous random wave field. The directional dependency of the wave intensity is represented by a Fourier series, the coefficients of which are computed by applying the Galerkin procedure to the associated power balance equations. The use of a single component in the intensity series is equivalent to the assumption that the wave field is diffuse, in which case the present method reduces to conventional statistical energy analysis (SEA). The method is applied to a number of panel arrays for which exact results may be obtained by using the dynamic stiffness method, and it is found that a significant improvement over conventional SEA may be achieved for relatively little additional effort.