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Chappell, D. 
ORCID: 0000-0001-5819-0271,
2024.
A superconvergent convolution quadrature method for time-dependent dynamical energy analysis.
In:
Proceedings of ISMA2024 including USD2024.
Leuven: Katholieke Universiteit Leuven, pp. 4014-4019.
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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 [1]. In this work we detail how DEA can be reformulated in the time-domain by means of a convolution integral operator and apply a modified multistep-based Convolution Quadrature (CQ) method to discretise in time. Stable time-stepping based on multistep CQ schemes has typically been limited to second-order convergence as a consequence of the second Dahlquist barrier. In this work we apply a simple modification to the traditional second-order backward-difference multistep scheme, which leads to third-order convergence of the time discretisation in time-dependent DEA. The final result is a fully time-dependent DEA method that can accurately track the propagation of high-frequency transient signals through phase-space.
| Item Type: | Chapter in book | ||||
|---|---|---|---|---|---|
| Creators: | Chappell, D. | ||||
| Publisher: | Katholieke Universiteit Leuven | ||||
| Place of Publication: | Leuven | ||||
| Date: | 9 September 2024 | ||||
| Identifiers: |
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| Divisions: | Schools > School of Science and Technology | ||||
| Record created by: | Jonathan Gallacher | ||||
| Date Added: | 20 Nov 2024 13:53 | ||||
| Last Modified: | 20 Nov 2024 13:53 | ||||
| URI: | https://irep.ntu.ac.uk/id/eprint/52625 |
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