Mathematical Modeling and Simulation in Mechanics and Dynamic Systems

Abstract

Introduction Although it has previously been considered difficult to make further contributions in the field of mechanics, the spectacular evolution of technology and numerical calculation techniques has caused this opinion to be reconsidered and to the development of more and more sophisticated models that describe, as accurately as possible, the phenomena that take place in dynamic systems. [...]researchers have come to study mechanical systems with complicated behavior, observing them in experiments and computer models [1,2,3]. The impetus in mechanics and dynamical systems has come from many sources: computer simulation, experimental science, mathematics, and modeling [4,5,6]. Topics of interest include, but are not limited to, modeling mechanical systems, new methods in dynamic systems, the behavior simulation of mechanical systems, nonlinear systems, multibody systems with elastic elements, multiple degrees of freedom, mechanical systems, experimental modal analyses, and the mechanics of materials. 2. Asachi” Technical University of Iasi, 700050 Iasi, Romania [8] Ashif Khan Department of Mechanical, Robotics and Energy Engineering, Dongguk University-Seoul, 30 Pildong-ro 1 Gil, Jung-gu, Seoul 04620, Korea [9] Jun-Sik Kim Department of Mechanical System Engineering, Kumoh National Institute of Technology, Gumi-si 39177, Korea; [email protected] [9] Heung Soo Kim Department of Mechanical, Robotics and Energy Engineering, Dongguk University-Seoul, 30 Pildong-ro 1 Gil, Jung-gu, Seoul 04620, Korea [9] Alessandro Tarsi School of Automation Engineering, Alma Mater Studiorum—Università di Bologna, Viale del Risorgimento 2, I-40136 Bologna, Italy; [10] Simone Fiori Department of Information Engineering, Marches Polytechnic University, Brecce Bianche Rd., I-60131 Ancona, Italy [10] Kiril Tenekedjiev Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia [11] Simon Cooley Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia [11] Boyan Mednikarov Nikola Vaptsarov Naval Academy—Varna, 73 V. Drumev Str., 9002 Varna, Bulgaria [11] Guixin Fan Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia [11] Natalia Nikolova Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia [11] Mohamed Derbeli System Engineering and Automation Department, Faculty of Engineering of Vitoria-Gasteiz, Basque Country University (UPV/EHU), 01006 Vitoria-Gasteiz, Spain [14] Cristian Napole System Engineering and Automation Department, Faculty of Engineering of Vitoria-Gasteiz, Basque Country University (UPV/EHU), 01006 Vitoria-Gasteiz, Spain [14] Oscar Barambones System Engineering and Automation Department, Faculty of Engineering of Vitoria-Gasteiz, Basque Country University (UPV/EHU), 01006 Vitoria-Gasteiz, Spain [14] Soufiane Montassir Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, B.P. 2202 Route d’Imouzzer, Fez 30000, Morocco [23] Hassane Moustabchir Laboratory of Science Engineering and Applications (LISA) National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72 Route d’Imouzzer, Fez 30000, Morocco [23] Maria Luminita Scutaru Department of Mechanical Engineering, Transilvania University of Brassov, B-dul Eroilor 20, 500036 Brassov, Romania [3,5,6,9,12] Sorin Vlase Department of Mechanical Engineering, Transilvania University of Brassov, B-dul Eroilor 20, 500036 Brassov, Romania [1,2,3,4,5,6,9,16] Alexandra Saviuc Faculty of Physics, Alexandru Ioan Cuza University of Iasi, 700506 Iasi, Romania [13] Tudor-Cristian Petrescu Department of Structural Mechanics, Gheorghe Asachi Technical University of Iasi, 700050 Iasi, Romania; [13] Botond-Pál Gálf Autolive Romania, Brasov, Bucegi, Str. 8, 500053 Brasov, Romania [16] Ioan Száva Department of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor 20, 500036 Brasov, Romania [16] Daniela Sova Department of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor 20, 500036 Brassov, Romania [16] Koldo Portal-Porras Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain [15] Unai Fernandez-Gamiz Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain [15] Ainara Ugarte-Anero Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain [15] Ekaitz Zulueta System Engineering and Automation Control Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain [15] Asier Zulueta System Engineering and Automation Control Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain [15] Dongxu Li College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China [17] Bing Xu College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China [17] Zheshu Ma College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China [17] Yanju Li College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China [17] Pau Fonseca i Casas Department of Statistics and Operations Research, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain [19] Joan Garcia i Subirana Department of Statistics and Operations Research, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain [19] Víctor García i Carrasco Department of Statistics and Operations Research, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain [19] Xavier Pi i Palomés Open University of Catalonia, Computer Science, Multimedia and Telecommunications Studies, 08860 Barcelona, Spain [19] Gregor Bánó Department of Biophysics, Faculty of Science, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia [18] Jana Kubacková Institute of Experimental Physics SAS, Department of Biophysics, Watsonova 47, 040 01 Košice, Slovakia [18] Andrej Hovan Department of Biophysics, Faculty of Science, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia [18] Alena Strejˇcková Department of Chemistry, Biochemistry and Biophysics, University of Veterinary Medicine and Pharmacy, Komenského 73, 041 81 Košice, Slovakia [18] Gergely T. Iványi Faculty of Science and Informatics, University of Szeged, Dugonics Square 13, 6720 Szeged, Hungary [18] Gaszton Vizsnyiczai Biological Research Centre, Institute of Biophysics, Eötvös Loránd Research Network (ELKH), Temesvári krt. 62, 6726 Szeged, Hungary [18] Lóránd Kelemen Biological Research Centre, Institute of Biophysics, Eötvös Loránd Research Network (ELKH), Temesvári krt. 62, 6726 Szeged, Hungary [18] Gabriel Žoldák Center for Interdisciplinary Biosciences, Technology and Innovation Park, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia [18] Zoltán Tomori Institute of Experimental Physics SAS, Department of Biophysics, Watsonova 47, 040 01 Košice, Slovakia [18] Denis Horvath Center for Interdisciplinary Biosciences, Technology and Innovation Park, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia [18] Dongxu Li College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China [20] Siwei Li College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China [20] Zhanghao Lu College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China

1. Introduction

Although it has previously been considered difficult to make further contributions in the field of mechanics, the spectacular evolution of technology and numerical calculation techniques has caused this opinion to be reconsidered and to the development of more and more sophisticated models that describe, as accurately as possible, the phenomena that take place in dynamic systems. Therefore, researchers have come to study mechanical systems with complicated behavior, observing them in experiments and computer models [1,2,3]. The key requirement in these studies is that the system must involve a nonlinearity. The impetus in mechanics and dynamical systems has come from many sources: computer simulation, experimental science, mathematics, and modeling [4,5,6]. There are a wide range of influences. Computer experiments change the way in which we analyze these systems. Topics of interest include, but are not limited to, modeling mechanical systems, new methods in dynamic systems, the behavior simulation of mechanical systems, nonlinear systems, multibody systems with elastic elements, multiple degrees of freedom, mechanical systems, experimental modal analyses, and the mechanics of materials.

2. Statistics of the Special Issue

The statistics of papers submitted to this Special Issue for both published and rejected items are as follows: 23 total submissions, of which 16 were published (69.6%) [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23] and 7 rejected (30.4%). The authors' geographical distribution is shown in Table 1, where it can be seen that the 67 authors are from 13 different countries. Note that it is usual for a paper to be written by more than one author, and for authors to collaborate with authors with different affiliations or multiple affiliations.

3. Authors of the Special Issue

The authors of this Special Issue and their main affiliations are summarized in Table 2; it can be seen that there are three authors on average per manuscript.

4. Brief Overview of the Contributions to the Special Issue

This analysis of topics identifies or summarizes the research undertaken. This section classifies the manuscripts according to the topics covered in this Special Issue. There are three topics that are dominant, namely: the modeling of the multibody systems with symmetries, symmetry in applied mathematics, and analytical methods in symmetric multibody systems.

Author Contributions

Conceptualization, M.L.S. and C.-I.P.; methodology, M.L.S. and C.-I.P.; software, M.L.S. and C.-I.P.; validation, M.L.S. and C.-I.P.; formal analysis, M.L.S. and C.-I.P.; investigation, M.L.S. and C.-I.P.; resources, M.L.S. and C.-I.P.; data curation, M.L.S. and C.-I.P.; writing—original draft preparation, M.L.S. and C.-I.P.; writing—review and editing, M.L.S. and C.-I.P.; visualization, M.L.S. and C.-I.P.; supervision, M.L.S. and C.-I.P.; project administration, M.L.S. and C.-I.P. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Tables

Table 1

Geographic distribution of authors by country.

Country	Number of Authors
Romania	13
China	9
Iran	1
Italy	2
Pakistan	1
UK	3
Morocco	5
Korea	4
Bulgaria	1
Australia	4
Spain	12
Slovakia	7
Hungary	3

Table 2

Affiliations and bibliometric indicators for authors.

Author	Affiliation	References
Gabriel Gavrilut	Faculty of Phisics, Alexandru Ioan Cuza University, Bulevardul Carol I nr. 11, 700506 Iași, Romania	[8]
Liliana Topliceanu	Faculty of Engineering, Vasile Alecsandri University of Bacau, 600115 Bacau, Romania	[8]
Manuela Girtu	Department of Mathematics and Informatics, Vasile Alecsandri University of Bacau, 600115 Bacau, Romania	[8]
Ana Maria Rotundu	Faculty of Phisics, Alexandru Ioan Cuza University, Bulevardul Carol I nr. 11, 700506 Iași, Romania	[8]
Stefan Andrei Irimiciuc	National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, Romania	[8]
Maricel Agop	Department of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania	[8]
Ashif Khan	Department of Mechanical, Robotics and Energy Engineering, Dongguk University-Seoul, 30 Pildong-ro 1 Gil, Jung-gu, Seoul 04620, Korea	[9]
Jun-Sik Kim	Department of Mechanical System Engineering, Kumoh National Institute of Technology, Gumi-si 39177, Korea; [email protected]	[9]
Heung Soo Kim	Department of Mechanical, Robotics and Energy Engineering, Dongguk University-Seoul, 30 Pildong-ro 1 Gil, Jung-gu, Seoul 04620, Korea	[9]
Alessandro Tarsi	School of Automation Engineering, Alma Mater Studiorum—Università di Bologna, Viale del Risorgimento 2, I-40136 Bologna, Italy;	[10]
Simone Fiori	Department of Information Engineering, Marches Polytechnic University, Brecce Bianche Rd., I-60131 Ancona, Italy	[10]
Kiril Tenekedjiev	Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia	[11]
Simon Cooley	Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia	[11]
Boyan Mednikarov	Nikola Vaptsarov Naval Academy—Varna, 73 V. Drumev Str., 9002 Varna, Bulgaria	[11]
Guixin Fan	Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia	[11]
Natalia Nikolova	Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia	[11]
Mohamed Derbeli	System Engineering and Automation Department, Faculty of Engineering of Vitoria-Gasteiz, Basque Country University (UPV/EHU), 01006 Vitoria-Gasteiz, Spain	[14]
Cristian Napole	System Engineering and Automation Department, Faculty of Engineering of Vitoria-Gasteiz, Basque Country University (UPV/EHU), 01006 Vitoria-Gasteiz, Spain	[14]
Oscar Barambones	System Engineering and Automation Department, Faculty of Engineering of Vitoria-Gasteiz, Basque Country University (UPV/EHU), 01006 Vitoria-Gasteiz, Spain	[14]
Soufiane Montassir	Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, B.P. 2202 Route d’Imouzzer, Fez 30000, Morocco	[23]
Hassane Moustabchir	Laboratory of Science Engineering and Applications (LISA) National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72 Route d’Imouzzer, Fez 30000, Morocco	[23]
Maria Luminita Scutaru	Department of Mechanical Engineering, Transilvania University of Brassov, B-dul Eroilor 20, 500036 Brassov, Romania	[3,5,6,9,12]
Sorin Vlase	Department of Mechanical Engineering, Transilvania University of Brassov, B-dul Eroilor 20, 500036 Brassov, Romania	[1,2,3,4,5,6,9,16]
Alexandra Saviuc	Faculty of Physics, Alexandru Ioan Cuza University of Iasi, 700506 Iasi, Romania	[13]
Tudor-Cristian Petrescu	Department of Structural Mechanics, Gheorghe Asachi Technical University of Iasi, 700050 Iasi, Romania;	[13]
Botond-Pál Gálf	Autolive Romania, Brasov, Bucegi, Str. 8, 500053 Brasov, Romania	[16]
Ioan Száva	Department of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor 20, 500036 Brasov, Romania	[16]
Daniela Sova	Department of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor 20, 500036 Brassov, Romania	[16]
Koldo Portal-Porras	Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain	[15]
Unai Fernandez-Gamiz	Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain	[15]
Ainara Ugarte-Anero	Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain	[15]
Ekaitz Zulueta	System Engineering and Automation Control Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain	[15]
Asier Zulueta	System Engineering and Automation Control Department, University of the Basque Country, UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006 Araba, Spain	[15]
Dongxu Li	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[17]
Bing Xu	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[17]
Zheshu Ma	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[17]
Yanju Li	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[17]
Pau Fonseca i Casas	Department of Statistics and Operations Research, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain	[19]
Joan Garcia i Subirana	Department of Statistics and Operations Research, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain	[19]
Víctor García i Carrasco	Department of Statistics and Operations Research, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain	[19]
Xavier Pi i Palomés	Open University of Catalonia, Computer Science, Multimedia and Telecommunications Studies, 08860 Barcelona, Spain	[19]
Gregor Bánó	Department of Biophysics, Faculty of Science, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia	[18]
Jana Kubacková	Institute of Experimental Physics SAS, Department of Biophysics, Watsonova 47, 040 01 Košice, Slovakia	[18]
Andrej Hovan	Department of Biophysics, Faculty of Science, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia	[18]
Alena Strejˇcková	Department of Chemistry, Biochemistry and Biophysics, University of Veterinary Medicine and Pharmacy, Komenského 73, 041 81 Košice, Slovakia	[18]
Gergely T. Iványi	Faculty of Science and Informatics, University of Szeged, Dugonics Square 13, 6720 Szeged, Hungary	[18]
Gaszton Vizsnyiczai	Biological Research Centre, Institute of Biophysics, Eötvös Loránd Research Network (ELKH), Temesvári krt. 62, 6726 Szeged, Hungary	[18]
Lóránd Kelemen	Biological Research Centre, Institute of Biophysics, Eötvös Loránd Research Network (ELKH), Temesvári krt. 62, 6726 Szeged, Hungary	[18]
Gabriel Žoldák	Center for Interdisciplinary Biosciences, Technology and Innovation Park, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia	[18]
Zoltán Tomori	Institute of Experimental Physics SAS, Department of Biophysics, Watsonova 47, 040 01 Košice, Slovakia	[18]
Denis Horvath	Center for Interdisciplinary Biosciences, Technology and Innovation Park, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia	[18]
Dongxu Li	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[20]
Siwei Li	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[20]
Zhanghao Lu	College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China	[20]
Yanju Li	College of Automobile and Traffic Engineering, Nanjing Forestry University, Na College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China njing 210037, China	[20]
Meng Zheng	College of Automobile and Traffic Engineering, Nanjing Forestry University, Na College of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, China njing 210037, China	[20]
Chukwuma Ogbonnaya	Department of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester M13 9PL, UK	[22]
Chamil Abeykoon	Faculty of Engineering and Technology, Alex Ekwueme Federal University, Ndufu Alike Ikwo, Abakaliki PMB 1010, Nigeria	[22]
Adel Nasser	Faculty of Engineering and Technology, Alex Ekwueme Federal University, Ndufu Alike Ikwo, Abakaliki PMB 1010, Nigeria	[22]
Ali Turan	Independent Researcher, Manchester M22 4ES, Lancashire, UK	[22]
Yasser Zare	Breast Cancer Research Center, Biomaterials and Tissue Engineering Research Group, Department of Interdisciplinary Technologies, Motamed Cancer Institute, ACECR, Tehran 15179-64311, Iran	[21]
Kyongyop Rhee	Department of Mechanical Engineering (BK21 Four), College of Engineering, Kyung Hee University, Yongin 449-701, Gyeonggi, Korea	[21]
Khadija Yakoubi	Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco	[23]
Ahmed Elkhalf	Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco	[23]
Catalin Iulian Pruncu	Department of Mechanical Engineering, Imperial College London, Exhibition Rd., London SW7 2AK, UK	[23]
Jamal Arbaoui	National School of Applied Sciences of Safi, University Cadi Ayad, Marrakesh 40000, Morocco;	[23]
Muhammad Umar Farooq	Department of Industrial and Manufacturing Engineering, University of Engineering and Technology, Lahore 54890, Pakistan	[23]

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