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Projection methods for stochastic structural dynamics

Maia, N., Pryse, Sion Eilir, Adhikari, Sondipon, Kundu, Abhishek ORCID: and Dimitrovová, Z. 2018. Projection methods for stochastic structural dynamics. MATEC Web of Conferences 211 , 01003. 10.1051/matecconf/201821101003

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A set of novel hybrid projection approaches are proposed for approximating the response of stochastic partial differential equations which describe structural dynamic systems. An optimal basis for the response of a stochastic system has been computed from the eigen modes of the parametrized structural dynamic system. The hybrid projection methods are obtained by applying appropriate approximations and by reducing the modal basis. These methods have been further improved by an implementation of a sample based Galerkin error minimization approach. In total four methods are presented and compared for numerical accuracy and efficiency by analysing the bending of a Euler-Bernoulli cantilever beam.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: EDP Sciences
ISSN: 2261-236X
Date of First Compliant Deposit: 28 June 2019
Last Modified: 04 May 2023 09:20

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