Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems
A description of the motion equation of a single two-dimensional finite element used to model a multi-body system with elastic elements is made in the article. To establish them, the Lagrange’s equations are used. Obtaining the dynamic response of a system with deformable components has be...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/7/848 |
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| author | Eliza Chircan Maria-Luminiţa Scutaru Cătălin Iulian Pruncu |
| author_facet | Eliza Chircan Maria-Luminiţa Scutaru Cătălin Iulian Pruncu |
| author_sort | Eliza Chircan |
| collection | DOAJ |
| description | A description of the motion equation of a single two-dimensional finite element used to model a multi-body system with elastic elements is made in the article. To establish them, the Lagrange’s equations are used. Obtaining the dynamic response of a system with deformable components has become important for technical applications in recent decades. These engineering applications are characterized by high applied loads and high acceleration and velocities. A study of such mechanical systems leads to the identification of different mechanical phenomena (due to high deformations, resonance phenomena, and stability). Coriolis effects and relative motions significantly modify the motion equations and, implicitly, the dynamic response. These effects are highlighted in this paper for plane motion. |
| first_indexed | 2024-04-11T14:11:46Z |
| format | Article |
| id | doaj.art-c195ccaa1b7149739c36176d96ee07a4 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T14:11:46Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c195ccaa1b7149739c36176d96ee07a42022-12-22T04:19:42ZengMDPI AGSymmetry2073-89942019-07-0111784810.3390/sym11070848sym11070848Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body SystemsEliza Chircan0Maria-Luminiţa Scutaru1Cătălin Iulian Pruncu2Transilvania University of Braşov, B-dul Eroilor, 29, Braşov 500036, RomaniaTransilvania University of Braşov, B-dul Eroilor, 29, Braşov 500036, RomaniaMechanical Engineering, Imperial College, Exhibition Rd., London SW7 2AZ, UKA description of the motion equation of a single two-dimensional finite element used to model a multi-body system with elastic elements is made in the article. To establish them, the Lagrange’s equations are used. Obtaining the dynamic response of a system with deformable components has become important for technical applications in recent decades. These engineering applications are characterized by high applied loads and high acceleration and velocities. A study of such mechanical systems leads to the identification of different mechanical phenomena (due to high deformations, resonance phenomena, and stability). Coriolis effects and relative motions significantly modify the motion equations and, implicitly, the dynamic response. These effects are highlighted in this paper for plane motion.https://www.mdpi.com/2073-8994/11/7/848multi-body systemfinite element method (FEM)linear elastic elementsLagrange’s equationstwo-dimensional finite elementplane motion |
| spellingShingle | Eliza Chircan Maria-Luminiţa Scutaru Cătălin Iulian Pruncu Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems Symmetry multi-body system finite element method (FEM) linear elastic elements Lagrange’s equations two-dimensional finite element plane motion |
| title | Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems |
| title_full | Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems |
| title_fullStr | Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems |
| title_full_unstemmed | Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems |
| title_short | Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems |
| title_sort | two dimensional finite element in general plane motion used in the analysis of multi body systems |
| topic | multi-body system finite element method (FEM) linear elastic elements Lagrange’s equations two-dimensional finite element plane motion |
| url | https://www.mdpi.com/2073-8994/11/7/848 |
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