A quantitative criterion validating coupling power proportionality in statistical energy analysis
2011 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 330, no 1, 87-109 p.Article in journal (Refereed) Published
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, an iterative solution is expressed as a succession of exchanges between elements, where uncoupled motion provides the start approximation, converging lithe 'coupling eigenvalue' is less than unity, in which case coupling is said to be weak. This definition is related to whether response is 'local' or 'global', encompassing a number of previously defined coupling strength definitions, applying for deterministically described structures. A stochastic ensemble is defined by that its members are equal to the investigated structure but the elements have random frequencies. It is required that the coupling eigenvalue be less than unity for all members of the ensemble. This requirement generates the title subject of the article: 'the modal interaction strength'. It is similar to the previously defined coupling strength criterion characterising the ensemble average energy flow in uni-dimensional waveguides. Finally, SEA models are formulated in terms of the uncoupled elements' modal data.
Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 330, no 1, 87-109 p.
Coupled element, Coupling power, Coupling strengths, Deterministic equations, Eigen modes, Eigen-value, Ensemble averages, Iterative solutions, Modal data, Modal interactions, Quantitative criteria, Random frequency, SEA model, Statistical energy analysis, Uncoupled motions, Weak couplings, Dynamic loads, Eigenvalues and eigenfunctions, Energy management, Modal analysis
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-27118DOI: 10.1016/j.jsv.2010.08.003ISI: 000283901600008ScopusID: 2-s2.0-77957754038OAI: oai:DiVA.org:kth-27118DiVA: diva2:375566
QC 201012082010-12-082010-12-062016-04-28Bibliographically approved