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Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems

1
Transilvania University of Braşov, B-dul Eroilor, 29, Braşov 500036, Romania
2
Mechanical Engineering, Imperial College, Exhibition Rd., London SW7 2AZ, UK
3
Mechanical Engineering, School of Engineering, University of Birmingham, Birmingham B15 2TT, UK
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(7), 848; https://doi.org/10.3390/sym11070848
Received: 5 June 2019 / Revised: 25 June 2019 / Accepted: 27 June 2019 / Published: 1 July 2019
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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PDF [233 KB, uploaded 1 July 2019]

Abstract

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. View Full-Text
Keywords: multi-body system; finite element method (FEM); linear elastic elements; Lagrange’s equations; two-dimensional finite element; plane motion multi-body system; finite element method (FEM); linear elastic elements; Lagrange’s equations; two-dimensional finite element; plane motion
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Chircan, E.; Scutaru, M.-L.; Pruncu, C.I. Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems. Symmetry 2019, 11, 848.

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