The response of two general spring-coupled elements is investigated to develop a unifying approach to the weak coupling criterion in Statistical Energy Analysis (SEA). First, the coupled deterministic equations of motion are expressed in the bases given by the uncoupled elements' eigenmodes. Then, a
Validity diagrams of statistical energy analysis
โ Scribed by A. Le Bot; V. Cotoni
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 681 KB
- Volume
- 329
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
This paper is concerned with the validity domain of statistical energy analysis (SEA) which is defined in terms of four criteria. The mode count N and the modal overlap M must be high, the normalized attenuation factor m and the coupling strength g must be small. The application of dimensional analysis on the governing equations of plates gives the space of dimensionless parameters in which the validity domain of SEA must be delimited. This domain is discussed on the basis of geometry of the surfaces delimiting it. The diagrams of validity of SEA are introduced and discussed. A numerical simulation on a couple of rectangular plates coupled along one edge illustrates the theoretical approach.
๐ SIMILAR VOLUMES
In his book "Structural Diagrams" (1958 Academy of Sciences of the U.S.S.R.) Vistelius proposes a scheme for the statistical analysis of fabric diagrams. The scheme is critically examined in this paper and found to be statistically invalid, largely due to a misunderstanding of the nature of the pole