Numerical Modeling and Applications in Mechanical Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 31 December 2025 | Viewed by 326

Special Issue Editor


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Guest Editor
Institute of Applied Mechanics, University of Miskolc, Miskolc, Hungary
Interests: applied mechanics; finite element simulation; numerical modeling; elasticity

Special Issue Information

Dear Colleagues,

 As we all experience, the explosive growth of computer technology is continuously opening up new ways for scientists. It is, therefore, possible to solve and evaluate complex engineering problems that previously seemed unsolvable thanks to the indeed advancing numerical modeling techniques.

Modern, efficient numerical algorithms are also capable of replacing costly experiments in design, saving development time and expenses. The aim of this Special Issue is to gather scientific articles that are in the crossroads of Mechanical Engineering and numerical modelling. Contributions reporting on new numerical methods or presenting novel applications with known methods are as well welcome.

Dr. László Péter Kiss
Guest Editor

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Keywords

  • finite element method
  • discrete element method
  • meshfree methods, optimization
  • mechanics of solids
  • computational fluid dynamics
  • fluid-structure interaction
  • heat transfer

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Published Papers (1 paper)

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Research

30 pages, 20105 KiB  
Article
Computational Investigation of Long Free-Span Submarine Pipelines with Buoyancy Modules Using an Automated Python–Abaqus Framework
by Ty Phuor, Pavel A. Trapper, Alon Urlainis and Avshalom Ganz
Mathematics 2025, 13(9), 1387; https://doi.org/10.3390/math13091387 - 24 Apr 2025
Abstract
This paper introduces an efficient and automated computational framework integrating Python scripting with Abaqus finite element analysis (FEA) to investigate the structural behavior of long free-spanning submarine pipelines equipped with buoyancy modules. A comprehensive parametric study was conducted, involving 1260 free-spanning submarine pipeline [...] Read more.
This paper introduces an efficient and automated computational framework integrating Python scripting with Abaqus finite element analysis (FEA) to investigate the structural behavior of long free-spanning submarine pipelines equipped with buoyancy modules. A comprehensive parametric study was conducted, involving 1260 free-spanning submarine pipeline models, and was successfully performed with a wide range of parameters, including the length (lp= 100, 200, and 300 m), radius (rp= 0.3, 0.4, and 0.5 m), thickness, type of fluid, type of support, load ratio (LR= 0.2, 0.4, 0.6, 0.8, and 1), and number of buoyancy modules (n= 0, 1, 2, 3, 5, 7, and 9) with its length (lb=1/10·lp). The study included a verification process, providing a verification of the presented framework. The results demonstrate excellent agreement with analytical and numerical solutions, validating the accuracy and robustness of the proposed framework. The analysis indicates that pipeline deformation and natural frequency are highly sensitive to variations in buoyancy arrangements, pipeline geometry, and load conditions, whereas the normalized mode shapes remain largely unaffected. Practical implications include the ability to rapidly optimize buoyancy module placements, reducing resonance risks from vortex-induced vibrations (VIVs), thus enhancing the preliminary design efficiency and pipeline safety. The developed approach advances existing methods by significantly reducing the computational complexity and enabling extensive parametric analyses, making it a valuable tool for designing stable, cost-effective offshore pipeline systems. Full article
(This article belongs to the Special Issue Numerical Modeling and Applications in Mechanical Engineering)
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