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Applied Sciences
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Uncertainty Analysis of Mechanical Systems
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Uncertainty Analysis of Mechanical Systems

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: closed (30 June 2021) | Viewed by 11411

Special Issue Editor

Prof. Dr. Abdelkhalak EL HAMI

E-Mail Website
Guest Editor
Department of Mechanics and PERF-II, National institute on applied sciences INSA- Rouen-Normandy, Normandy University, 14000 Caen, France
Interests: mechanical engineering; mechanics and mathematics

Special Issue Information

Dear Colleagues,

This Special Issue is dedicated to solutions for and discussions of measuring uncertainties in mechanics, stochastic modeling, uncertainty quantification and analysis, modeling, design of systems in the presence of uncertainty.

Contributions shall cover the broad interdisciplinary spectrum of scientific uncertainties in mechanics and present recent advances in theory, development of methods, and applications in practice.

The main topics of interest for this Special Issue include but are not limited to:

  • Stochastic processes in energy;
  • Reliability and optimal safety factors;
  • Stochastic modeling and uncertainty quantification;
  • Measuring uncertainties in mechanics;
  • Computational methods for the solution of problems in engineering;
  • Mathematical models and their numerical solution in all areas of mechanics;
  • Uncertainties in solid/structural mechanics; 
  • Uncertainties in fluid mechanics;
  • Uncertainties in multiphysics systems;
  • Systems of governed by differential equations, possibly with multiscale features;
  • Propagation of uncertainty across scales;
  • Bayesian computation and machine learning techniques;
  • Stochastic multiscale systems;
  • Evolutionary computing-based uncertain optimization methods;
  • Modern experiments and modeling approaches;
  • Applications of uncertainty quantification in all areas of physical sciences.

Prof. Dr. Abdelkhalak EL HAMI
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • reliability
  • uncertainties
  • fluid–structure interaction
  • solid mechanics
  • measuring uncertainties in mechanics
  • stochastic processes in energy

Published Papers (5 papers)

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Research

16 pages, 599 KiB  
Article
Uncertainty Analysis Based on Kriging Meta-Model for Acoustic-Structural Problems
by Ahmad Baklouti, Khalil Dammak and Abdelkhalak El Hami
Appl. Sci. 2022, 12(3), 1503; https://0-doi-org.brum.beds.ac.uk/10.3390/app12031503 - 30 Jan 2022
Cited by 6 | Viewed by 1759
Abstract
This paper consists of evaluating the performance of a vibro-acoustic model in the presence of uncertainties in the geometric and material parameters of the model using Monte Carlo simulations (MCS). The purpose of using a meta-model is to reduce the computational cost of [...] Read more.
This paper consists of evaluating the performance of a vibro-acoustic model in the presence of uncertainties in the geometric and material parameters of the model using Monte Carlo simulations (MCS). The purpose of using a meta-model is to reduce the computational cost of finite element simulations. Uncertainty analysis requires a large sample of MCS to predict the effect of uncertain parameters on the system response. So, if this study is done through the finite element method (FEM), then the computational cost will be very important. Furthermore, for that, we use meta-models to be able to conduct an efficient uncertainty analysis more quickly. In the present contribution, the approximated meta-model is verified and validated using error measures and cross-validation (CV). Then, the uncertainty analysis is performed by Monte Carlo simulations using the computed Kriging meta-model. The developed methodology has been applied in two vibro-acoustic models. In these two models, the covariance of uncertainty of geometric and physical (elasticity and density) parameters are equal to 2% and 5% respectively. The obtained results prove that the suggested methodology of uncertainty propagation based on the Kriging meta-model can be considered as a very efficient and sufficiently accurate approach for the quantification of uncertainties in acoustic-structural systems. Full article
(This article belongs to the Special Issue Uncertainty Analysis of Mechanical Systems)
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10 pages, 689 KiB  
Article
Electrothermal Reliability of the High Electron Mobility Transistor (HEMT)
by Abdelhamid Amar, Bouchaïb Radi and Hami El Abdelkhalak
Appl. Sci. 2021, 11(22), 10720; https://0-doi-org.brum.beds.ac.uk/10.3390/app112210720 - 13 Nov 2021
Cited by 8 | Viewed by 1886
Abstract
The main objective of our paper is to propose an approach to studying the mechatronic system’s reliability through the reliability of their high electron mobility transistors (HEMT). The operating temperature is one of the parameters that influences the characteristics of the transistor, especially [...] Read more.
The main objective of our paper is to propose an approach to studying the mechatronic system’s reliability through the reliability of their high electron mobility transistors (HEMT). The operating temperature is one of the parameters that influences the characteristics of the transistor, especially the electron mobility that represents an advantage over other transistor’s families. Several factors can influence this temperature. Thanks to thermal modeling, it is possible to determine the factors representing a great impact on the operating temperature, such as the power dissipation at the active area of the transistor and the reference temperature above the substrate. In our reliability study, these analytical methods, such as First and Second Order Reliability Methods (FORM and SORM, respectively), were used to analyze the HEMT reliability. Thanks to the coupling between two models—the reliability model coded on Matlab and the thermal modeling with Comsol multiphysics software—the reliability index and the failure probability of the studied system were evaluated. Full article
(This article belongs to the Special Issue Uncertainty Analysis of Mechanical Systems)
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18 pages, 3131 KiB  
Article
A Decoupling Strategy for Reliability Analysis of Multidisciplinary System with Aleatory and Epistemic Uncertainties
by Chao Fu, Jihong Liu and Wenting Xu
Appl. Sci. 2021, 11(15), 7008; https://0-doi-org.brum.beds.ac.uk/10.3390/app11157008 - 29 Jul 2021
Cited by 2 | Viewed by 1664
Abstract
In reliability-based multidisciplinary design optimization, both aleatory and epistemic uncertainties may exist in multidisciplinary systems simultaneously. The uncertainty propagation through coupled subsystems makes multidisciplinary reliability analysis computationally expensive. In order to improve the efficiency of multidisciplinary reliability analysis under aleatory and epistemic uncertainties, [...] Read more.
In reliability-based multidisciplinary design optimization, both aleatory and epistemic uncertainties may exist in multidisciplinary systems simultaneously. The uncertainty propagation through coupled subsystems makes multidisciplinary reliability analysis computationally expensive. In order to improve the efficiency of multidisciplinary reliability analysis under aleatory and epistemic uncertainties, a comprehensive reliability index that has clear geometric meaning under multisource uncertainties is proposed. Based on the comprehensive reliability index, a sequential multidisciplinary reliability analysis method is presented. The method provides a decoupling strategy based on performance measure approach (PMA), probability theory and convex model. In this strategy, the probabilistic analysis and convex analysis are decoupled from each other and performed sequentially. The probabilistic reliability analysis is implemented sequentially based on the concurrent subspace optimization (CSSO) and PMA, and the non-probabilistic reliability analysis is replaced by convex model extreme value analysis, which improves the efficiency of multidisciplinary reliability analysis with aleatory and epistemic uncertainties. A mathematical example and an engineering application are demonstrated to verify the effectiveness of the proposed method. Full article
(This article belongs to the Special Issue Uncertainty Analysis of Mechanical Systems)
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14 pages, 4648 KiB  
Article
Simplification of Complex Structural Dynamic Models: A Case Study Related to a Cantilever Beam and a Large Mass Attachment
by Patrick Langer, Christopher Jelich, Christian Guist, Andrew Peplow and Steffen Marburg
Appl. Sci. 2021, 11(12), 5428; https://0-doi-org.brum.beds.ac.uk/10.3390/app11125428 - 11 Jun 2021
Cited by 8 | Viewed by 2940
Abstract
Large attachments can dramatically affect the dynamic response of an assembled structure. In various industrial sectors, e.g., the automotive, aircraft, and shipbuilding industries, it is often necessary to predict the dynamic response of assembled structures and large attachments in early-stage engineering design. To [...] Read more.
Large attachments can dramatically affect the dynamic response of an assembled structure. In various industrial sectors, e.g., the automotive, aircraft, and shipbuilding industries, it is often necessary to predict the dynamic response of assembled structures and large attachments in early-stage engineering design. To deal with this, it is often the finite element method (FEM) that is used in the vibrational analysis. Despite the advent of large-scale computer availability, it is still commonplace, and often necessary, to reduce the model-size with large attachments to acceptable levels for computer time-scale or memory-size limitations. This article discusses the simple methodology of replacing large and sometimes complicated attachments by using a simplified boundary condition. This methodology is well-known in certain sectors of computer-aided design, but here we are able to present a comprehensive discussion from laboratory measurements, finite element analysis and a simplified perspective. Given the availability of experimental data, the errors produced by these methodologies may then be determined by a structure that has a strictly defined geometry and known material properties within a certain tolerance. To demonstrate these effects, an experimental modal analysis is performed on a structure consisting of a beam and a large mass attachment, which is then validated by each of the finite element models that include the relevant approximate ideal boundary conditions. Various approximating boundary conditions are investigated, and quantifiable results are discussed. One of the conclusions confirms the recommendation that rotary inertia terms should be included as a boundary condition wherever possible when large attachments are approximated by an offset mass defined at a point. Full article
(This article belongs to the Special Issue Uncertainty Analysis of Mechanical Systems)
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14 pages, 10653 KiB  
Article
Stiffness Estimation and Equivalence of Boundary Conditions in FEM Models
by Róbert Huňady, Pavol Lengvarský, Peter Pavelka, Adam Kaľavský and Jakub Mlotek
Appl. Sci. 2021, 11(4), 1482; https://0-doi-org.brum.beds.ac.uk/10.3390/app11041482 - 06 Feb 2021
Viewed by 2438
Abstract
The paper deals with methods of equivalence of boundary conditions in finite element models that are based on finite element model updating technique. The proposed methods are based on the determination of the stiffness parameters in the section plate or region, where the [...] Read more.
The paper deals with methods of equivalence of boundary conditions in finite element models that are based on finite element model updating technique. The proposed methods are based on the determination of the stiffness parameters in the section plate or region, where the boundary condition or the removed part of the model is replaced by the bushing connector. Two methods for determining its elastic properties are described. In the first case, the stiffness coefficients are determined by a series of static finite element analyses that are used to obtain the response of the removed part to the six basic types of loads. The second method is a combination of experimental and numerical approaches. The natural frequencies obtained by the measurement are used in finite element (FE) optimization, in which the response of the model is tuned by changing the stiffness coefficients of the bushing. Both methods provide a good estimate of the stiffness at the region where the model is replaced by an equivalent boundary condition. This increases the accuracy of the numerical model and also saves computational time and capacity due to element reduction. Full article
(This article belongs to the Special Issue Uncertainty Analysis of Mechanical Systems)
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