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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.
This book investigates the theoretical underpinnings of statistical energy analysis (SEA) to explain the behavior of complex sound and vibration systems. Author A. Le Bot utilizes a rigorous mathematical framework to bridge the gap between modal analysis and wave propagation, establishing a unified theory for energy transport in mechanical systems. By drawing parallels between thermodynamics and vibrational energy, the text provides a systematic derivation of coupling power proportionality and the concept of vibrational temperature.
What You Will Find
Experts recognize this work as a comprehensive reference for researchers and engineers working in the field of vibroacoustics. Readers frequently note the high level of mathematical density, which serves to establish a self-contained and rigorous foundation for the subject matter.
Page Count:
352
Publication Date:
2015-07-28
Publisher:
Oxford University Press
ISBN-10:
0198729235
ISBN-13:
9780198729235
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