TY - JOUR
T1 - Conditions for transmission path analysis in energy distribution models
AU - Aragonès, Àngels
AU - Guasch, Oriol
N1 - Funding Information:
The authors gratefully acknowledge ESI Group for its support in this research. The first author would also like to acknowledge the Generalitat de Catalunya (SUR/ECO) for the pre-doctoral FI Grant no. 2014FI_B2 00141 .
Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.
PY - 2016/2
Y1 - 2016/2
N2 - In this work, we explore under which conditions transmission path analysis (TPA) developed for statistical energy analysis (SEA) can be applied to the less restrictive energy distribution (ED) models. It is shown that TPA can be extended without problems to proper-SEA systems whereas the situation is not so clear for quasi-SEA systems. In the general case, it has been found that a TPA can always be performed on an ED model if its inverse influence energy coefficient (EIC) matrix turns to have negative off-diagonal entries. If this condition is satisfied, it can be shown that the inverse EIC matrix automatically becomes an M-matrix. An ED graph can then be defined for it and use can be made of graph theory ranking path algorithms, previously developed for SEA systems, to classify dominant paths in ED models. A small mechanical system consisting of connected plates has been used to illustrate some of the exposed theoretical results.
AB - In this work, we explore under which conditions transmission path analysis (TPA) developed for statistical energy analysis (SEA) can be applied to the less restrictive energy distribution (ED) models. It is shown that TPA can be extended without problems to proper-SEA systems whereas the situation is not so clear for quasi-SEA systems. In the general case, it has been found that a TPA can always be performed on an ED model if its inverse influence energy coefficient (EIC) matrix turns to have negative off-diagonal entries. If this condition is satisfied, it can be shown that the inverse EIC matrix automatically becomes an M-matrix. An ED graph can then be defined for it and use can be made of graph theory ranking path algorithms, previously developed for SEA systems, to classify dominant paths in ED models. A small mechanical system consisting of connected plates has been used to illustrate some of the exposed theoretical results.
KW - Energy distribution models
KW - Energy flow paths
KW - Energy influence coefficients
KW - Graph theory
KW - Transmission path analysis
UR - http://www.scopus.com/inward/record.url?scp=84943362315&partnerID=8YFLogxK
U2 - 10.1016/j.ymssp.2015.07.017
DO - 10.1016/j.ymssp.2015.07.017
M3 - Article
AN - SCOPUS:84943362315
SN - 0888-3270
VL - 68-69
SP - 245
EP - 251
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
ER -