Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures

We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energy analysis (SEA) towards non-diffusive wave fields...

Full description

Bibliographic Details
Main Authors: Chappell, David J., Loechel, Dominik, Sondergaard, Niels, Tanner, Gregor
Format: Article
Published: Elsevier 2014
Online Access:https://eprints.nottingham.ac.uk/46599/
_version_ 1848797364280623104
author Chappell, David J.
Loechel, Dominik
Sondergaard, Niels
Tanner, Gregor
author_facet Chappell, David J.
Loechel, Dominik
Sondergaard, Niels
Tanner, Gregor
author_sort Chappell, David J.
building Nottingham Research Data Repository
collection Online Access
description We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energy analysis (SEA) towards non-diffusive wave fields. DEA takes into account the full directionality of the wave field and makes sub-structuring obsolete. It can thus be implemented on mesh grids commonly used, for example, in the finite element method (FEM). The resulting mesh based formulation of DEA can be implemented very efficiently using discrete flow mapping (DFM) as detailed in Chappell et al. (2013) and described here for applications in vibro- acoustics. A mid-to-high frequency vibro-acoustic response can be obtained over the whole modelled structure. Abrupt changes of material parameter at interfaces are described in terms of reflection/transmission matrices obtained by solving the wave equation locally. Two benchmark model systems are considered: a double-hull structure used in the ship- building industry and a cast aluminium shock tower from a Range Rover. We demonstrate that DEA with DFM implementation can handle multi-mode wave propagation effectively, taking into account mode conversion between shear, pressure and bending waves at interfaces, and on curved surfaces.
first_indexed 2025-11-14T20:02:42Z
format Article
id nottingham-46599
institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T20:02:42Z
publishDate 2014
publisher Elsevier
recordtype eprints
repository_type Digital Repository
spelling nottingham-465992020-05-04T16:48:54Z https://eprints.nottingham.ac.uk/46599/ Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures Chappell, David J. Loechel, Dominik Sondergaard, Niels Tanner, Gregor We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energy analysis (SEA) towards non-diffusive wave fields. DEA takes into account the full directionality of the wave field and makes sub-structuring obsolete. It can thus be implemented on mesh grids commonly used, for example, in the finite element method (FEM). The resulting mesh based formulation of DEA can be implemented very efficiently using discrete flow mapping (DFM) as detailed in Chappell et al. (2013) and described here for applications in vibro- acoustics. A mid-to-high frequency vibro-acoustic response can be obtained over the whole modelled structure. Abrupt changes of material parameter at interfaces are described in terms of reflection/transmission matrices obtained by solving the wave equation locally. Two benchmark model systems are considered: a double-hull structure used in the ship- building industry and a cast aluminium shock tower from a Range Rover. We demonstrate that DEA with DFM implementation can handle multi-mode wave propagation effectively, taking into account mode conversion between shear, pressure and bending waves at interfaces, and on curved surfaces. Elsevier 2014-06-30 Article PeerReviewed Chappell, David J., Loechel, Dominik, Sondergaard, Niels and Tanner, Gregor (2014) Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures. Wave Motion, 51 (4). pp. 589-597. ISSN 0165-2125 http://www.sciencedirect.com/science/article/pii/S0165212514000067?via%3Dihub doi:10.1016/j.wavemoti.2014.01.004 doi:10.1016/j.wavemoti.2014.01.004
spellingShingle Chappell, David J.
Loechel, Dominik
Sondergaard, Niels
Tanner, Gregor
Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
title Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
title_full Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
title_fullStr Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
title_full_unstemmed Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
title_short Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
title_sort dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
url https://eprints.nottingham.ac.uk/46599/
https://eprints.nottingham.ac.uk/46599/
https://eprints.nottingham.ac.uk/46599/