Coupled plate energy models at mid- and high-frequency vibrations

•An extension of the ESEM to flexural wave propagation in thin plates is presented.•It is a matrix methodology applied to EFA similar in style to FEM.•A more accurate alternative to EFEM is the energy spectral element method (ESEM).•Simulated results obtained by EFEM and ESEM are analysed and compar...

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Bibliographic Details
Published in:	Computers & structures Vol. 134; pp. 48 - 61
Main Authors:	Pereira, Vilson Souza, Dos Santos, José Maria Campos
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01-04-2014
Subjects:	Energy finite element method Energy flow analysis Energy spectral element method Joint Plate Spectral element method Spectral element method Energy spectral element method Energy finite element method Joint Energy flow analysis Plate
Online Access:	Get full text
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Summary:	•An extension of the ESEM to flexural wave propagation in thin plates is presented.•It is a matrix methodology applied to EFA similar in style to FEM.•A more accurate alternative to EFEM is the energy spectral element method (ESEM).•Simulated results obtained by EFEM and ESEM are analysed and compared with the SEM.•Energy methods based on energy flow and displacement for a thin plate are reviewed. At mid- and high-frequency bands, displacement-based approaches such as the finite element method (FEM) create too large models, while energy-based methods, such as statistical energy analysis, produce smaller ones, but without spatial variation. Energy flow analysis (EFA) can produce compact models that include spatial variation; however, their analytical solution makes them difficult to handle for built-up structures. To overcome this issue, the energy finite element method (EFEM), a finite element solution of EFA, was proposed. A more accurate alternative to EFEM is the energy spectral element method (ESEM). It is a matrix methodology applied to EFA similar in style to FEM, with one significant difference being the use of the analytical solution as interpolation functions. Simulated results obtained by EFEM and ESEM are analysed and compared with each other and with the spectral element method, which is used as a reference.
ISSN:	0045-7949 1879-2243
DOI:	10.1016/j.compstruc.2013.11.006