Advanced Numerical Methods and Structural Complex Systems Monitoring Process

A special issue of Mathematical and Computational Applications (ISSN 2297-8747). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (15 November 2023) | Viewed by 4178

Special Issue Editors


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Department of Engineering, Telematic University Pegaso, Piazza Trieste e Trento, 48, 80132 Naples, Italy
Interests: composite materials; masonry structures; numerical modeling; mechanical engineering; bridge engineering; modal analysis; dynamics; civil engineering; materials engineering; experimental characterization; concrete durability
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Center for System Reliability and Safety, University of Electronic Science and Technology of China, Chengdu 611731, China
Interests: structural integrity and reliability analysis; damage tolerance design and life prediction; artificial intelligence and health assessment
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INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
Interests: structural integrity; fatigue; fracture mechanics; structure analysis; probabilistic models
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Department of Economics, Management and Institutions, Federico II University of Naples, Via Cintia, 80126 Naples, Italy
Interests: multivariate analysis; panel data analysis; generalized estimating equations; regression diagnostics for generalized estimating equations; Poisson factor models; proportional odds model; stereotype logistic model; log ratio analysis; decomposition in main effects and interaction term in multiple contingency tables; partial least squares-path modeling

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Faculty of Economics and Business Sciences, Università degli Studi del Sannio di Benevento, Piazza Guerrazzi, 82100 Benevento, Italy
Interests: interpretability principal component analysis; non symmetrical correspondence analysis; multivariate methods for customer satisfaction evaluation

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Department of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy
Interests: modeling of offshore structures and offshore structural components; structural theories of plates and applied mathematical modeling; mechanics of solids and structures; study of composite laminated structures and advanced composite materials; fracture mechanics and crack propagation and initiation; applied numerical methods such as finite element method and mesh-free element method
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Special Issue Information

Dear Colleagues,

Health Structural Monitoring is a strategic tool for the non-invasive monitoring and assessment of the health status of existing infrastructures and complex systems. It covers various sectors, such as health, aviation, mechanical, civil, electrical, and economic.

Recent advances in technology, detection techniques, but especially in the evolution of analytical and scientific predictive systems have allowed us to understand the diagnosis of material degradation and structural and non-structural damage.

This Special Issue focuses on recent developments in theoretical, computational, experimental, and practical aspects in the field and aims to cover several topics, namely sensors for structural health monitoring, damage detection and characterization algorithms, structural alarm systems, model-based structural life prediction methods, application of SHM for different exceptional loads, and influence of environmental and operational conditions.

It is desirable to present processes and analyses and innovative applications that constitute a synergistic and robust dialogue between advanced detection techniques and powerful simulators to make all the knowledge about the physical system available and perform early detection damage, precise diagnosis, and safe decision making.

The guest editors of this Special Issue hope to attract and obtain the contributions of engineers, mathematicians, and material scientists, among others, allowing for the creation of a multidisciplinary collection of innovative works and stimulating further discussions on these ground-breaking topics.

Prof. Dr. Francesco Fabbrocino
Prof. Dr. Shun-Peng Zhu
Dr. José A.F.O. Correia
Dr. Anna Crisci
Dr. Biagio Simonetti
Dr. Nicholas Fantuzzi
Guest Editors

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Keywords

  • computational structural modeling
  • mathematical and computational approaches to composites
  • nonlocal and non-standard mathematical models in continuum mechanics
  • smart and multi-field materials and structures
  • multi-scale mathematical and computational modeling
  • applied numerical methods
  • finite element methods
  • dynamics of materials and structures
  • computer-aided structural engineering
  • machine learning
  • building information modeling

Published Papers (3 papers)

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Research

19 pages, 379 KiB  
Article
Bayes Inference of Structural Safety under Extreme Wind Loads Based upon a Peak-Over-Threshold Process of Exceedances
by Elio Chiodo, Fabio De Angelis, Bassel Diban and Giovanni Mazzanti
Math. Comput. Appl. 2023, 28(6), 111; https://0-doi-org.brum.beds.ac.uk/10.3390/mca28060111 - 30 Nov 2023
Viewed by 1167
Abstract
In the present paper, the process of estimating the important statistical properties of extreme wind loads on structures is investigated by considering the effect of large variability. In fact, for the safety design and operating conditions of structures such as the ones characterizing [...] Read more.
In the present paper, the process of estimating the important statistical properties of extreme wind loads on structures is investigated by considering the effect of large variability. In fact, for the safety design and operating conditions of structures such as the ones characterizing tall buildings, wind towers, and offshore structures, it is of interest to obtain the best possible estimates of extreme wind loads on structures, the recurrence frequency, the return periods, and other stochastic properties, given the available statistical data. In this paper, a Bayes estimation of extreme load values is investigated in the framework of structural safety analysis. The evaluation of extreme values of the wind loads on the structures is performed via a combined employment of a Poisson process model for the peak-over-threshold characterization and an adequate characterization of the parent distribution which generates the base wind load values. In particular, the present investigation is based upon a key parameter for assessing the safety of structures, i.e., a proper safety index referred to a given extreme value of wind speed. The attention is focused upon the estimation process, for which the presented procedure proposes an adequate Bayesian approach based upon prior assumptions regarding (1) the Weibull probability that wind speed is higher than a prefixed threshold value, and (2) the frequency of the Poisson process of gusts. In the last part of the investigation, a large set of numerical simulations is analyzed to evaluate the feasibility and efficiency of the above estimation method and with the objective to analyze and compare the presented approach with the classical Maximum Likelihood method. Moreover, the robustness of the proposed Bayes estimation is also investigated with successful results, both with respect to the assumed parameter prior distributions and with respect to the Weibull distribution of the wind speed values. Full article
16 pages, 613 KiB  
Article
Data-Driven Active Learning Control for Bridge Cranes
by Haojie Lin and Xuyang Lou
Math. Comput. Appl. 2023, 28(5), 101; https://0-doi-org.brum.beds.ac.uk/10.3390/mca28050101 - 09 Oct 2023
Viewed by 1246
Abstract
For positioning and anti-swing control of bridge cranes, the active learning control method can reduce the dependence of controller design on the model and the influence of unmodeled dynamics on the controller’s performance. By only using the real-time online input and output data [...] Read more.
For positioning and anti-swing control of bridge cranes, the active learning control method can reduce the dependence of controller design on the model and the influence of unmodeled dynamics on the controller’s performance. By only using the real-time online input and output data of the bridge crane system, the active learning control method consists of the finite-dimensional approximation of the Koopman operator and the design of an active learning controller based on the linear quadratic optimal tracking control. The effectiveness of the control strategy for positioning and anti-swing of bridge cranes is verified through numerical simulations. Full article
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17 pages, 382 KiB  
Article
Asymptotic Behavior of Solutions to a Nonlinear Swelling Soil System with Time Delay and Variable Exponents
by Mohammad M. Kafini, Mohammed M. Al-Gharabli and Adel M. Al-Mahdi
Math. Comput. Appl. 2023, 28(5), 94; https://0-doi-org.brum.beds.ac.uk/10.3390/mca28050094 - 06 Sep 2023
Cited by 1 | Viewed by 908
Abstract
In this research work, we investigate the asymptotic behavior of a nonlinear swelling (also called expansive) soil system with a time delay and nonlinear damping of variable exponents. We should note here that swelling soils contain clay minerals that absorb water, which may [...] Read more.
In this research work, we investigate the asymptotic behavior of a nonlinear swelling (also called expansive) soil system with a time delay and nonlinear damping of variable exponents. We should note here that swelling soils contain clay minerals that absorb water, which may lead to increases in pressure. In architectural and civil engineering, swelling soils are considered sources of problems and harm. The presence of the delay is used to create more realistic models since many processes depend on past history, and the delays are frequently added by sensors, actuators, and field networks that travel through feedback loops. The appearance of variable exponents in the delay and damping terms in this system allows for a more flexible and accurate modeling of this physical phenomenon. This can lead to more realistic and precise descriptions of the behavior of fluids in different media. In fact, with the advancements of science and technology, many physical and engineering models require more sophisticated mathematical tools to study and understand. The Lebesgue and Sobolev spaces with variable exponents proved to be efficient tools for studying such problems. By constructing a suitable Lyapunov functional, we establish exponential and polynomial decay results. We noticed that the energy decay of the system depends on the value of the variable exponent. These results improve on some existing results in the literature. Full article
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