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Mathematics
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Optimization and Simulation in Mechanical Engineering and Computer Aided Design
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Optimization and Simulation in Mechanical Engineering and Computer Aided Design

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 30 April 2024 | Viewed by 7658

Special Issue Editors

Dr. lonuţ Gabriel Ghionea

E-Mail Website
Guest Editor
Manufacturing Engineering Department, Faculty of Industrial Engineering and Robotics, University Politehnica of Bucharest, Splaiul Independenței 313, 060042 București, Romania
Interests: computer aided design; parametric design; spur gear pumps
Dr. Cristian Ioan Tarbă

E-Mail Website
Guest Editor
Manufacturing Engineering Department, Faculty of Industrial Engineering and Robotics, University Politehnica of Bucharest, Splaiul Independenței 313, 060042 București, Romania
Interests: database design; computer aided design; computer aided production planning
Dr. Saša Ćuković

E-Mail Website
Guest Editor
Swiss Federal Institute of Technology - ETH Zurich, Leopold-Ruzicka-Weg 4, 8093 Zurich, Switzerland
Interests: CAx; biomechanics; RE in healthcare; spine; AR/VR; non-invasive diagnosis
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The development of science and new technologies bring challenges in designing mechanical systems; due to the growing importance of the Industry 4.0 paradigm, the creation of fast responsive models as well as the search for new optimization and simulation methods are currently a mandatory phase in the modeling and simulation of physical systems.

The aim of this Special Issue is to provide an opportunity for international researchers to share and review recent advances in optimization and simulation in mechanical engineering and Computer Aided Design fields. The proposed topics present many challenges and have a strong support in engineering, mathematics, computer science.

This Special Issue focuses on recent theoretical and computational studies for running industrial projects.

Topics include, but are not limited to the following:

- Design, optimization, simulation and control of engineering processes;

- Industry 4.0;

- Manufacturing of industrial products;

- Parametric modelling and shape analysis;

- Artificial intelligence in design process

- Smart automotive control systems;

- Additive manufacturing technologies;

- Robotics (industrial robots, mobile robots),

- Bio-CAD and bio-inspired design.

All interested researchers are kindly invited to contribute to this Special Issue with their original research articles.

Dr. lonuţ Gabriel Ghionea
Dr. Cristian Ioan Tarbă 
Dr. Saša Ćuković
Guest Editors

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. Mathematics 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 2600 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

  • topology optimization
  • simulation and optimization
  • applied mathematics
  • parametric modelling
  • complex curves and surfaces
  • mechanical engineering processes
  • computer aided design and applications
  • artificial intelligence algorithms

Published Papers (4 papers)

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Research

16 pages, 5598 KiB  
Article
Numerical Analysis of Blood Clot Mechanical Behavior in Relation to Blood Flow Inside the Popliteal Vein
by Mantas Brusokas and Raimondas Jasevičius
Mathematics 2024, 12(2), 267; https://0-doi-org.brum.beds.ac.uk/10.3390/math12020267 - 14 Jan 2024
Viewed by 768
Abstract
In this work, blood clot behavior under the influence of the mechanical effect of blood flow was analyzed. Attention is mainly paid to the deformation of the thrombus in the event of an alternating effect of blood flow in the blood vessel of [...] Read more.
In this work, blood clot behavior under the influence of the mechanical effect of blood flow was analyzed. Attention is mainly paid to the deformation of the thrombus in the event of an alternating effect of blood flow in the blood vessel of the human leg. It is assumed that the higher stress accumulation is associated with a decrease in the width of the lumen of the blood vessel. The idea is to represent a critical case when embolus can form. The geometry of the thrombus is selected on the basis of existing blood patterns. Modeling is performed using COMSOL Multiphysics software. The results reflect the distribution of stress and blood velocity over time. The work selected a critical case, when the formation of an embolus is possible due to the deformation of the thrombus by the blood flow. Research is important for studying the behavior of thrombus formation at different periods of time, and also taking into account the specific geometry of thrombus deformation for the purpose of predicting embolisms. The results are observed due to increased deformations in the appropriate areas of the clot, whose tests show specific blood deformation from the alternating effects of blood on different sections of the vessels. Full article
(This article belongs to the Special Issue Optimization and Simulation in Mechanical Engineering and Computer Aided Design)
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15 pages, 1571 KiB  
Article
Numerical Modeling of Thrombocyte Interaction Mechanics with a Blood Vessel Wall
by Raimondas Jasevičius
Mathematics 2023, 11(23), 4814; https://0-doi-org.brum.beds.ac.uk/10.3390/math11234814 - 29 Nov 2023
Cited by 1 | Viewed by 664
Abstract
A platelet (thrombocyte) can be in two states, activated and inactivated. The paper analyzes the interaction of an inactive platelet cell with the wall of a blood vessel. The goal is to analyze and represent the dynamics of platelet cell interaction when a [...] Read more.
A platelet (thrombocyte) can be in two states, activated and inactivated. The paper analyzes the interaction of an inactive platelet cell with the wall of a blood vessel. The goal is to analyze and represent the dynamics of platelet cell interaction when a thrombus has not yet formed. The discrete element method (DEM) can be used for the presented model. The paper presents an analysis of the dependence of force and displacement. This test is an introduction to more advanced tests when a blood clot forms. Full article
(This article belongs to the Special Issue Optimization and Simulation in Mechanical Engineering and Computer Aided Design)
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16 pages, 3404 KiB  
Article
On Solving Stochastic Optimization Problems
by Ovidiu Blăjină and Ionuţ Gabriel Ghionea
Mathematics 2023, 11(21), 4451; https://0-doi-org.brum.beds.ac.uk/10.3390/math11214451 - 27 Oct 2023
Viewed by 1018
Abstract
Many optimization mathematical models, associated with the technical-economic processes of real-world problems, have elements of uncertainty in their structure, which places them in stochastic optimization programming. Their diversity and complexity, due to the large uncertainty space, require special methods of solving, because there [...] Read more.
Many optimization mathematical models, associated with the technical-economic processes of real-world problems, have elements of uncertainty in their structure, which places them in stochastic optimization programming. Their diversity and complexity, due to the large uncertainty space, require special methods of solving, because there is no general solution method. Within this context, in this paper we consider the category of optimization models that can contain random variable type coefficients and/or imposed probability levels on the constraints. The purpose of the paper is to propose a methodology dedicated to these studied models. Applying the methodology leads to developing a deterministic linear programming model, associated with the initial stochastic model. In fact, the proposed methodology reduces the stochastic formulation to a deterministic formulation. The methodology is illustrated with a numerical case study based on a manufacturing problem. Solving the obtained deterministic model is carried out in the version assisted by a specialized software product (WinQSB Version 2.0). It allows for the performing of a sensitivity analysis of the optimal solution, and/or a parametric analysis relative to certain model coefficients, both also presented in the paper. The main result of the study in this paper is the proposed methodology, which is applicable on a large scale, for any mathematical model of stochastic optimization of the mentioned type, regardless of complexity, dimensions and the domain of the process to which it is associated. The numerical results obtained when applying this methodology indicate its efficiency and effectiveness in finding the solution for the studied models. The approach to this issue in the present paper is determined by the wide range of stochastic optimization problems in the various studied real-life processes and by the imperative need to adopt the best decisions in conditions of uncertainty. Full article
(This article belongs to the Special Issue Optimization and Simulation in Mechanical Engineering and Computer Aided Design)
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28 pages, 7022 KiB  
Article
The Importance of Embedding a General forward Kinematic Model for Industrial Robots with Serial Architecture in Order to Compensate for Positioning Errors
by Cozmin Cristoiu, Mario Ivan, Ionuţ Gabriel Ghionea and Cristina Pupăză
Mathematics 2023, 11(10), 2306; https://0-doi-org.brum.beds.ac.uk/10.3390/math11102306 - 15 May 2023
Cited by 2 | Viewed by 1418
Abstract
This paper proposes a methodology for creating simplified structural schemes and forward geometric models for industrial robots with serial architecture, with the goal of reducing thermal deformation errors that negatively impact positioning accuracy during operation. Unlike classical approaches, the proposed methodology introduces modifications [...] Read more.
This paper proposes a methodology for creating simplified structural schemes and forward geometric models for industrial robots with serial architecture, with the goal of reducing thermal deformation errors that negatively impact positioning accuracy during operation. Unlike classical approaches, the proposed methodology introduces modifications to the order of matrix multiplication and incorporates new parameters to create a forward geometric model that better corresponds to the deformation characteristics of these robots. Details are presented on how to build and employ this extended model and integrate it into a thermal error compensation algorithm. The implementation of the algorithm in a software application is presented along with experimental results that demonstrate its effectiveness. This work addresses a real phenomenon that occurs in industrial robot operation and has implications for improving the performance of robots in manufacturing applications. Full article
(This article belongs to the Special Issue Optimization and Simulation in Mechanical Engineering and Computer Aided Design)
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