Time-dependent dynamical energy analysis

Chappell, DJ ORCID logoORCID: https://orcid.org/0000-0001-5819-0271, 2023. Time-dependent dynamical energy analysis. In: 13th UK Conference on Boundary Integral Methods, University of Aberdeen, 10-11 July 2023.

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Abstract

Dynamical Energy Analysis (DEA) was introduced in 2009 as a novel method for predicting high-frequency acoustic and vibrational energy distributions. In this work we detail how DEA can be reformulated in the time-domain by means of a convolution integral operator and apply the Convolution Quadrature (CQ) method to discretise in time. The CQ method provides a link between the frequency domain and fully time-dependent solutions by means of the Z-transform. The space and momentum variables may be approximated using the same approaches that have previously been implemented in frequency domain DEA. The final result is a fully time-dependent DEA method that can track the propagation of high-frequency transient signals through phase-space.

Item Type: Conference contribution
Creators: Chappell, D.J.
Date: July 2023
Identifiers:
Number
Type
1915155
Other
Divisions: Schools > School of Science and Technology
Record created by: Laura Ward
Date Added: 19 Jul 2024 15:57
Last Modified: 19 Jul 2024 15:57
URI: https://irep.ntu.ac.uk/id/eprint/51789

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