Foundation of Statistical Energy Analysis in Vibroacoustics

The discovery by R.H. Lyon in the sixties showed that sound and vibration flows from `hot' to `cold' bodies as in thermodynamics and aroused a revival of interest in theoretical and applied acoustics. This book is a complete and up-to-date presentation of the statistical theory of sound including the reverberation theory in room acoustics.

This book provides an in-depth study of the foundations of statistical energy analysis, with a focus on examining the statistical theory of sound and vibration. In the modal approach, an introduction to random vibration with application to complex systems having a large number of modes is provided. For the wave approach, the phenomena of propagation, group speed, and energy transport are extensively discussed. Particular emphasis is given to the emergence of the diffuse field, the central concept of the theory. All important notions are gradually introduced---making the text self-contained---to lead the reader to the ultimate result of `coupling power proportionality'' and the concept of `vibrational temperature''. Further key topics include the analogy between thermodynamics and sound vibration. Applications are concerned with random vibration in mass--spring resonators, strings, beams, rods, and plates but also reverberation in room acoustics, radiation of sound, and sound response.