Statistical energy analysis

Abstract: Preface Acknowledgements Introductory comments 1. Mechanical vibrations: a review of some fundamentals 2. Sound waves: a review of some fundamentals 3. Interactions between sound waves and solid structures 4. Noise and vibration measurement and control procedures 5. The analysis of noise and vibration signals 6. Statistical energy analysis of noise and vibration 7. Pipe flow noise and vibration: a case study 8. Noise and vibration as a diagnostic tool 9. Worked examples Appendices Problems Answers to problems Index.

Abstract: This is the first full exposition in print of a subject in whose development over the past fifteen years the author has been a prime participant. As an approach to the study of mechanical vibrations, statistical energy analysis (SEA) has found new applications and adherents with each passing year. The name SEA was coined to emphasize the essential feature of the approach: "Statistical" indicates that the dynamical systems under study are presumed to be drawn from statistical populations or ensembles in which the distribution of the parameters is known. "Energy" denotes the primary variable of interest. "Analysis" is used to underscore the fact that SEA is a general framework of methods rather than a particular technique.Vibration is a ubiquitous problem for mechanical engineers, especially those concerned with the design of aircraft, spacecraft launch vehicles, ships, and similar structures composed of such elements as plates and beams. SEA provides the designer with a method for estimating the response characteristics of such structures to vibratory excitations, from which he can predict the potential for structural fatigue, component failure, and human discomfort caused by noise or excessive vibration levels. SEA is particularly appropriate in applications involving relatively large and lightweight structures, such as those designed for aerospace use. These statistical models are also helpful to mechanical designers who are charged with making environmental and vibratory response estimates at a stage in a project whese structural detail is not yet known. Moreover, SEA provides an approach to a number of vibration problems that cannot, from a practical viewpoint, be solved by classical methods.

Abstract: This session consisted of nine contributed papers all dealing with different aspects of noise and vibration control. St. Hilaire and Vaidya described the mechanism of sound generation caused by the metal reed in a reed organ, and in another paper described the response in a small room due to a sound source in a larger room connected by an opening between them. Davies applied statistical energy analysis to systems with strong but point coupling. Tseo presented a farfield formulation for sound pressure and radiation intensity from a simply supported rectangular plate. Jai‐Lue Lai showed mean‐square displacement responses of an axially moving belt for loadings of special random processes. Prediction methods for sound power radiated by several classes of rigid flow‐discontinuities in low‐speed air ducts were presented with experimental evidence by Hayden. Requirements on scanning rate and detection time constant were presented for space‐averaged acoustic measurements by Wooten and Cary. Nitsche presented a survey of spectral analysis techniques for moving sound sources. The use of Helmholtz resonators for acoustic absorption was presented by Czarnecki.