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Author: Publisher: ISBN: Category : Languages : en Pages : 75
Book Description
The concepts and relations which form the theoretical foundation of the statistical energy approach to vibration analysis are delineated. The utility of this approach for dealing with complex systems is discussed, and its range of applicability is indicated. The important properties of the modes of vibrating systems are reviewed and used to exhibit relations between modal responses and average responses of total systems. It is demonstrated that under some conditions, which are often approximated in actual systems, the average rate of flow of energy from one mode to another is proportional to the difference in the modal energies. It is also shown that under some conditions the average rate of flow of energy between two sets of modes (representing groups of modes of two coupled systems in a given frequency band) is proportional to the difference in the set-average modal energies. Examples are presented which indicate how these relations permit one to obtain approximate solutions to complex problems simply, on the basis of energy conservation considerations. Available extensions of the major concepts developed in detail are mentioned, and references to the current literature are given.
Author: Publisher: ISBN: Category : Languages : en Pages : 75
Book Description
The concepts and relations which form the theoretical foundation of the statistical energy approach to vibration analysis are delineated. The utility of this approach for dealing with complex systems is discussed, and its range of applicability is indicated. The important properties of the modes of vibrating systems are reviewed and used to exhibit relations between modal responses and average responses of total systems. It is demonstrated that under some conditions, which are often approximated in actual systems, the average rate of flow of energy from one mode to another is proportional to the difference in the modal energies. It is also shown that under some conditions the average rate of flow of energy between two sets of modes (representing groups of modes of two coupled systems in a given frequency band) is proportional to the difference in the set-average modal energies. Examples are presented which indicate how these relations permit one to obtain approximate solutions to complex problems simply, on the basis of energy conservation considerations. Available extensions of the major concepts developed in detail are mentioned, and references to the current literature are given.
Author: Richard H Lyon Publisher: Elsevier ISBN: 1483296431 Category : Technology & Engineering Languages : en Pages : 289
Book Description
This up-to-date second edition provides a comprehensive examination of the theory and application of Statistical Energy Analysis (SEA) in acoustics and vibration. Complete with examples and data taken from real problems this unique book also exploresthe influence of computers on SEA and emphasizes computer based SEA calculations. In addition to a discussion of the relationship between SEA and other procedures used in response estimation, Theory and Application of Statistical Energy Anlaysis, SecondEdition, explores the basic relationships between model and wave descriptions of systems.
Author: Richard H. Lyon Publisher: MIT Press (MA) ISBN: 9780262120715 Category : Performing Arts Languages : en Pages : 388
Book Description
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.
Author: Nils O. Myklestad Publisher: Courier Dover Publications ISBN: 0486830454 Category : Technology & Engineering Languages : en Pages : 273
Book Description
This concise textbook discusses vibration problems in engineering, dealing with systems of one and more than one degrees of freedom. A substantial section of Answers to Problems is included. 1956 edition.
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Author: Richard H Lyon
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