A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference
In this paper, we propose a stochastic model to describe over time the evolution of stress in a bolted mechanical structure depending on different thicknesses of a joint elastic piece. First, the studied structure and the experiment numerical simulation are presented. Next, we validate statistically...
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | Advances in Materials Science and Engineering |
Online Access: | http://dx.doi.org/10.1155/2020/9601212 |
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author | Mohammed Haiek Youness El Ansari Nabil Ben Said Amrani Driss Sarsri |
author_facet | Mohammed Haiek Youness El Ansari Nabil Ben Said Amrani Driss Sarsri |
author_sort | Mohammed Haiek |
collection | DOAJ |
description | In this paper, we propose a stochastic model to describe over time the evolution of stress in a bolted mechanical structure depending on different thicknesses of a joint elastic piece. First, the studied structure and the experiment numerical simulation are presented. Next, we validate statistically our proposed stochastic model, and we use the maximum likelihood estimation method based on Euler–Maruyama scheme to estimate the parameters of this model. Thereafter, we use the estimated model to compare the stresses, the peak times, and extinction times for different thicknesses of the elastic piece. Some numerical simulations are carried out to illustrate different results. |
format | Article |
id | doaj-art-27aacc532762438cbdcb0ad922b00922 |
institution | Kabale University |
issn | 1687-8434 1687-8442 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Materials Science and Engineering |
spelling | doaj-art-27aacc532762438cbdcb0ad922b009222025-02-03T06:43:31ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422020-01-01202010.1155/2020/96012129601212A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter InferenceMohammed Haiek0Youness El Ansari1Nabil Ben Said Amrani2Driss Sarsri3Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, MoroccoHigh School of Technology, Ibn Zohr University, B. P. 80150, Agadir, MoroccoLaboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, MoroccoLaboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, MoroccoIn this paper, we propose a stochastic model to describe over time the evolution of stress in a bolted mechanical structure depending on different thicknesses of a joint elastic piece. First, the studied structure and the experiment numerical simulation are presented. Next, we validate statistically our proposed stochastic model, and we use the maximum likelihood estimation method based on Euler–Maruyama scheme to estimate the parameters of this model. Thereafter, we use the estimated model to compare the stresses, the peak times, and extinction times for different thicknesses of the elastic piece. Some numerical simulations are carried out to illustrate different results.http://dx.doi.org/10.1155/2020/9601212 |
spellingShingle | Mohammed Haiek Youness El Ansari Nabil Ben Said Amrani Driss Sarsri A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference Advances in Materials Science and Engineering |
title | A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference |
title_full | A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference |
title_fullStr | A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference |
title_full_unstemmed | A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference |
title_short | A Stochastic Model of Stress Evolution in a Bolted Structure in the Presence of a Joint Elastic Piece: Modeling and Parameter Inference |
title_sort | stochastic model of stress evolution in a bolted structure in the presence of a joint elastic piece modeling and parameter inference |
url | http://dx.doi.org/10.1155/2020/9601212 |
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