| Issue |
MATEC Web Conf.
Volume 211, 2018
The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV)
|
|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 10 | |
| Section | Invited Papers | |
| DOI | https://doi.org/10.1051/matecconf/201821101003 | |
| Published online | 10 October 2018 | |
Projection methods for stochastic structural dynamics
1
Zienkiewicz Centre for Computational Engineering, Swansea University
2
School of Engineering, Cardiff University
* e-mail: S.Adhikari@swansea.ac.uk
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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