Finite Element Methods with Applications in Civil and Mechanical Engineering

A special issue of Computation (ISSN 2079-3197). This special issue belongs to the section "Computational Engineering".

Deadline for manuscript submissions: 15 July 2024 | Viewed by 8702

Special Issue Editors

Industrial Engineering Department, University Of Oradea, Oradea, Romania
Interests: finite element analysis; numerical methods; superplastic alloy forming
Industrial Engineering Department, University Of Oradea, Oradea, Romania
Interests: sheet metal deformation; finite element analysis; modeling and simulation

E-Mail Website1 Website2 Website3
Guest Editor
Industrial Engineering Department, University Of Oradea, Oradea, Romania
Interests: finite element analysis; numerical methods; 3D printing; CNC

Special Issue Information

Dear Colleagues,

It is a recognized fact by those in the field that the finite element method is one of the most widely used numerical methods for solving complex problems in mechanical engineering, civil engineering, and mathematical physics, providing appropriate approximations. In the mid-1950s, as the requirements of the development of the aircraft industry in the context of aircraft structure analysis emerged, the computational details, the necessary mathematical apparatus, and incipient software were developed and strengthened. Within a decade, the potential of this method for solving a multitude of problem types in applied science and engineering was recognized. Over the years, the finite element method has been so well established, with emphasis on its use, development, and promotion, that today it is regarded as one of the most effective methods for solving a wide range of practical problems. Additionally, this new method has become an area of research with great potential for expansion and development, not only for engineers but also for mathematicians oriented towards the development and promotion of applications.

This Special Issue is dedicated to exploring the recent advances in finite element methods with applications in civil and mechanical engineering. Both the original research articles and review articles within the scope of the Special Issue are welcomed.

Dr. Gavril Grebenisan
Dr. Alin Pop
Dr. Dan Claudiu Negrău
Guest Editors

Manuscript Submission Information

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Keywords

  • finite element method
  • computational mechanics
  • numerical methods
  • mechanical engineering
  • civil engineering
  • aircraft structure analysis
  • the differential formulation
  • weighted residual methods
  • the principle of virtual displacements
  • the finite difference differential
  • eigenvalue problems
  • vector iteration methods
  • transformation methods
  • the subspace iteration method
  • isoparametric formulation
  • mixed methods
  • Galerkin least squares method
  • displacement/pressure formulations
  • dynamic analysis
  • nonlinear geometric problems

Published Papers (5 papers)

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Research

20 pages, 8011 KiB  
Article
An Analysis of Air Flow in the Baking Chamber of a Tunnel-Type Electric Oven
by Gabriel-Alexandru Constantin, Mariana-Gabriela Munteanu, Gheorghe Voicu, Gigel Paraschiv and Elena-Madalina Ștefan
Computation 2023, 11(12), 236; https://doi.org/10.3390/computation11120236 - 25 Nov 2023
Viewed by 1569
Abstract
The baking process in tunnel ovens can be influenced by many parameters. Among these, the most important can be considered as: the baking time, the volume of dough pieces, the texture and humidity of the dough, the distribution of temperature inside the oven, [...] Read more.
The baking process in tunnel ovens can be influenced by many parameters. Among these, the most important can be considered as: the baking time, the volume of dough pieces, the texture and humidity of the dough, the distribution of temperature inside the oven, as well as the flow of air currents applied in the baking chamber. In order to obtain a constant quality of bakery or pastry products, and for the efficient operation of the oven, it is necessary that the solution made by the designers be subjected to modelling, simulation and analysis processes, before their manufacture, and in this sense it can be applied to the Computational Fluid Dynamics (CFD) numerical simulation tool. In this study, we made an analysis of the air flow inside the baking chamber of an oven. The analyzed oven was used very frequently on the pastry lines. After performing the modelling and simulation, the temperature distribution inside the oven was obtained in the longitudinal and transverse planes. For the experimental validation of the temperatures obtained in the computer-assisted simulation, the temperatures inside the analyzed electric oven were measured. The measured temperatures validated the simulation results with a maximum error of 7.6%. Full article
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22 pages, 1367 KiB  
Article
Response Spectrum Analysis of Multi-Story Shear Buildings Using Machine Learning Techniques
by Manolis Georgioudakis and Vagelis Plevris
Computation 2023, 11(7), 126; https://doi.org/10.3390/computation11070126 - 29 Jun 2023
Cited by 4 | Viewed by 1908
Abstract
The dynamic analysis of structures is a computationally intensive procedure that must be considered, in order to make accurate seismic performance assessments in civil and structural engineering applications. To avoid these computationally demanding tasks, simplified methods are often used by engineers in practice, [...] Read more.
The dynamic analysis of structures is a computationally intensive procedure that must be considered, in order to make accurate seismic performance assessments in civil and structural engineering applications. To avoid these computationally demanding tasks, simplified methods are often used by engineers in practice, to estimate the behavior of complex structures under dynamic loading. This paper presents an assessment of several machine learning (ML) algorithms, with different characteristics, that aim to predict the dynamic analysis response of multi-story buildings. Large datasets of dynamic response analyses results were generated through standard sampling methods and conventional response spectrum modal analysis procedures. In an effort to obtain the best algorithm performance, an extensive hyper-parameter search was elaborated, followed by the corresponding feature importance. The ML model which exhibited the best performance was deployed in a web application, with the aim of providing predictions of the dynamic responses of multi-story buildings, according to their characteristics. Full article
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16 pages, 3410 KiB  
Article
Buckling Analysis of Laminated Stiffened Plates with Material Anisotropy Using the Rayleigh–Ritz Approach
by Dimitrios G. Stamatelos and George N. Labeas
Computation 2023, 11(6), 110; https://doi.org/10.3390/computation11060110 - 30 May 2023
Viewed by 1413
Abstract
An energy-based solution for calculating the buckling loads of partially anisotropic stiffened plates is presented, such as antisymmetric cross-ply and angle-ply laminations. A discrete approach, for the mathematical modelling and formulations of the stiffened plates, is followed. The developed formulations extend the Rayleigh–Ritz [...] Read more.
An energy-based solution for calculating the buckling loads of partially anisotropic stiffened plates is presented, such as antisymmetric cross-ply and angle-ply laminations. A discrete approach, for the mathematical modelling and formulations of the stiffened plates, is followed. The developed formulations extend the Rayleigh–Ritz method and explore the available anisotropic unstiffened plate buckling solutions to the interesting cases of stiffened plates with some degree of material anisotropy. The examined cases consider simply supported unstiffened and stiffened plates under uniform and linearly varying compressive loading. Additionally, a reference finite element (FE) model is developed to compare the calculated buckling loads and validate the modelling approach for its accuracy. The results of the developed method are also compared with the respective experimental results for the cases where they were available in the literature. Finally, an extended discussion regarding the assumptions and restrictions of the applied Rayleigh–Ritz method is made, so that the limitations of the developed method are identified and documented. Full article
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17 pages, 3802 KiB  
Article
Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns
by Javier Urruzola and Iñaki Garmendia
Computation 2023, 11(6), 109; https://doi.org/10.3390/computation11060109 - 30 May 2023
Cited by 1 | Viewed by 1947
Abstract
Critical linear buckling load calculation is one of the possible ways to check structural stability. Structural analysis programs usually model beams and columns with just one element, but this is not enough to obtain an accurate value of the critical buckling load when [...] Read more.
Critical linear buckling load calculation is one of the possible ways to check structural stability. Structural analysis programs usually model beams and columns with just one element, but this is not enough to obtain an accurate value of the critical buckling load when the buckling mode is associated with an effective length that is less than twice the element length. This paper presents a method for the accurate calculation of the buckling load of frames modeled with only one finite element per structural element. For this purpose, a local correction is applied to some elements a few times until convergence is achieved. The validity of the presented method is confirmed by several examples ranging from simple canonical cases to large structures. Full article
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23 pages, 9773 KiB  
Article
Τhe Behavior of Hybrid Reinforced Concrete-Steel Buildings under Sequential Ground Excitations
by Paraskevi K. Askouni
Computation 2023, 11(5), 102; https://doi.org/10.3390/computation11050102 - 18 May 2023
Cited by 3 | Viewed by 1085
Abstract
In common construction practice, various examples can be found involving a building type consisting of a lower, older, reinforced concrete structure and a more recent upper steel part, forming a so-called “hybrid” building. Conventional seismic design rules give full guidelines for the earthquake [...] Read more.
In common construction practice, various examples can be found involving a building type consisting of a lower, older, reinforced concrete structure and a more recent upper steel part, forming a so-called “hybrid” building. Conventional seismic design rules give full guidelines for the earthquake design of buildings constructed with the same material throughout. The current seismic codes neglect to provide specific design and detailing guidelines for vertical hybrid buildings and limited existing research is available in the literature, thus leaving a scientific gap that needs to be investigated. In the present work, an effort is made to fill this gap in the knowledge about the behavior of this hybrid building type in sequential earthquakes, which are found in the literature to burden the seismic structural response. Three-dimensional models of hybrid reinforced concrete–steel frames are exposed to sequential ground excitations in horizontal and vertical directions while considering the elastoplastic behavior of these structural elements in the time domain. The lower reinforced concrete parts of the hybrid buildings are detailed here as corresponding to a former structure by a simple approximation. In addition, two boundary connections of the structural steel part upon the r/c part are distinguished for examination in the elastoplastic analyses. Comparisons of the arithmetical analysis results of the hybrid frames for the examined connections are carried out. The seismic response plots of the current non-linear dynamic time-domain analyses of the 3D hybrid frames subjected to sequential ground excitations yield useful conclusions to provide guidelines for a safer seismic design of the hybrid building type, which is not covered by the current codes despite being a common practice. Full article
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Buckling solutions of stiffened panels with varying degree of anisotropy using the Rayleigh-Ritz method
Authors: D.G Stamatelos; G.N Labeas
Affiliation: Hellenic Air Force Academy; University of Patras
Abstract: An energy based solution for calculating buckling loads of partially anisotropic stiffened panels is presented, using a discrete approach for the mathematical modelling of the stiffened panels. The developed formulations extend the Rayleigh-Ritz method and explore the available anisotropic unstiffened panel buckling solutions to interesting cases of anisotropic stiffened panels with varying degree of anisotropy. Moreover, a reference Finite Element (FE) model is developed in order to compare the calculated buckling loads and validate the modelling approach. The assumptions and restrictions of the applied Rayleigh-Ritz method are discussed, such that the limitations of the developed method are identified. Keywords: Buckling, Stiffened panel, Anisotropic panel, Rayleigh-Ritz, Energy Solution

Title: A Machine Learning approach in Dynamic Analysis of Buildings
Authors: Manolis Georgioudakis; Vagelis Plevris
Affiliation: National Technical University of Athens; Qatar University in Doha
Abstract: Dynamic analysis of structures consists a compute-intensive method which must be considered for an accurate seismic performance assessment in civil engineering applications. To avoid these computational demanding procedures, simplified methods are often used instead by engineers in practice, to estimate the dynamic behavior of the complex structures. This paper presents the assessment of a bunch of machine learning (ML) algorithms, with different characteristics aiming to predict the dynamic analysis of multi-storey buildings. Large datasets of dynamic response analyses results are generated through standard sampling methods. In an effort to obtain the best algorithm performance, an extensive hyper-parameter search is elaborated, followed by the corresponding feature importance. The best ML model is deployed in a web application aiming to provide predictions for dynamic response of multi-storey buildings according to their characteristics.

Title: Calculation of linear buckling load for a frame modelled with one-finite-element beams and columns
Authors: Javier Urruzola; Iñaki Garmendia
Affiliation: Mechanical Engineering Department. University of the Basque Country UPV/EHU. Engineering School of Gipuzkoa. Plaza de Europa, 1. E-20018 Donostia - San Sebastián (Spain)
Abstract: Critical linear buckling load calculation is one of the possible ways to check structural stability. Structural analysis programs usually model beams and columns with just one element, but this is not sufficient to obtain an accurate value of the critical buckling load when the buckling mode is associated with an effective length less than twice the element length. This paper presents a method for accurate calculation of the buckling load of frames modeled with only one finite element per structural element. For this purpose, local corrections are applied to some critical elements and the calculation is repeated in a second iteration. The validity of the presented method is confirmed by several examples ranging from simple canonical cases to large structures.

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