Vibrational energy distributions in large built-up structures - a wave chaos approach

Lead Research Organisation: University of Southampton
Department Name: Faculty of Engineering & the Environment

Abstract

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Publications

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Chappell D (2012) Boundary element dynamical energy analysis: A versatile method for solving two or three dimensional wave problems in the high frequency limit in Journal of Computational Physics

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Chappell D (2013) Discrete flow mapping: transport of phase space densities on triangulated surfaces in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Chappell D (2013) Solving the stationary Liouville equation via a boundary element method in Journal of Computational Physics

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Chappell DJ (2011) Dynamical energy analysis for built-up acoustic systems at high frequencies. in The Journal of the Acoustical Society of America

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Renno J (2012) Vibration modelling of helical springs with non-uniform ends in Journal of Sound and Vibration

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Renno J (2013) Calculation of reflection and transmission coefficients of joints using a hybrid finite element/wave and finite element approach in Journal of Sound and Vibration

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Renno J (2016) A Finite Element Method for Modelling Waves in Laminated Structures in Advances in Structural Engineering

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Renno J (2014) Vibration modelling of structural networks using a hybrid finite element/wave and finite element approach in Wave Motion

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Renno J (2011) Calculating the forced response of two-dimensional homogeneous media using the wave and finite element method in Journal of Sound and Vibration

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Renno J (2010) On the forced response of waveguides using the wave and finite element method in Journal of Sound and Vibration

 
Description In this project, we developed applications of the wave and finite element (WFE) method. This technique is suitable for
modelling general waveguides, which are homogeneous in one dimension, but whose cross-section may have arbitrary
complexity, or two-dimensional structures, such as plates and panels, which are homogeneous in two dimensions, but
whose properties may vary in an arbitrary manner through the thickness. To resolve the wave behaviour of the whole
structure (which can be arbitrarily long/large), the standard FE model of a small segment should be post-processed using
periodic structure theory. The advantage of this method is two-folds: the FE model can be obtained using any
commercial/in-house FE package and thus the full power of existing codes can be harnessed, and the model to be
processed is very small which is computationally advantagoues. During this project, the WFE method was used to
efficiently predict the response of structures subjected to time harmonic, arbitrarily distributed loads. It was also used to find
the scattering properties of arbitrarily complicated joints, and to describe the vibrational behaviour of structural networks
using waves only. These developments will contribute to bridging the mid-frequency gap by increasing the range of
applicability of the FE method. Industrial applications included modelling the wave behaviour of a train floor panel, and
predicting the resposne of a railcar cross-section. These are large structures, and modelling their vibration withing the
audio-frequency range can lead to impractically large models.
Exploitation Route Outcomes of the research are still being developed by researchers and PhD students. The researcher, Dr Jamil Renno, is now working at Doosan Babcock employing the developed methodologies. Inutech (Innovative Numerical Technologies) is also using the technique.
Sectors Aerospace, Defence and Marine
 
Description The researcher employed in the grant, Dr Jamil Renno, is now an employer of Doosan Babcock, where he is applying Wave-FE models to plant integrity.
First Year Of Impact 2015
Sector Energy,Other
Impact Types Economic