Proceedings of the International Conference of Mechanical Engineering (ICOME-2022)

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Analysis of a Cantilevered Beam Under Parametric Uncertainties

Authors
Gabriel Cătălin Marinescu1, Ștefan Cristian Castravete2, *
1University of Craiova, A.I. Cuza, 13, 200585, Craiova, Romania
2Fluid Struct, Bvd Știrbei Vodă. 19A, 200376, Craiova, Romania
*Corresponding author. Email: scastravete@caelynx.ro
Corresponding Author
Ștefan Cristian Castravete
Available Online 30 May 2023.
DOI
10.2991/978-94-6463-152-4_22How to use a DOI?
Keywords
Parametric Uncertainties; Monte Carlo; Perturbation; Neumann; Modal Analysis; FEA; FEM; Simulation
Abstract

This paper presents the analysis of a cantilevered beam under parametric uncertainties using FEMCAS a new software developed for structural analysis. The theoretical approach is described, including linear analysis module with parametric uncertainties - Monte Carlo simulation, the Perturbation method and the Neumann method. The perturbation method involves a Taylor series extension of the stiffness matrix and is a numerically less expensive alternative to the Monte Carlo method. The Neumann method applied in finite element analysis is known in the literature as Spectral Stochastic Finite Element Method and models the uncertainties using a modified first-order stochastic perturbation method together with a truncated Karhunen-Loeve expansion instead of the Taylor series. In the absence of parametric uncertainties, a modal analysis and forced vibration analysis were performed. Under parametric uncertainties, good correlation between Monte Carlo, Perturbation and Neumann methods was obtained. However, Perturbation and Neumann method obtained much lower simulation times which made those solutions much cheaper from computational perspective.

Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Conference of Mechanical Engineering (ICOME-2022)
Series
Atlantis Highlights in Engineering
Publication Date
30 May 2023
ISBN
978-94-6463-152-4
ISSN
2589-4943
DOI
10.2991/978-94-6463-152-4_22How to use a DOI?
Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Gabriel Cătălin Marinescu
AU  - Ștefan Cristian Castravete
PY  - 2023
DA  - 2023/05/30
TI  - Analysis of a Cantilevered Beam Under Parametric Uncertainties
BT  - Proceedings of the International Conference of Mechanical Engineering (ICOME-2022)
PB  - Atlantis Press
SP  - 190
EP  - 196
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-152-4_22
DO  - 10.2991/978-94-6463-152-4_22
ID  - Marinescu2023
ER  -