{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T12:21:47Z","timestamp":1762431707546,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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\u2019s 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.<\/jats:p>","DOI":"10.3390\/sym11070848","type":"journal-article","created":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T10:54:47Z","timestamp":1561978487000},"page":"848","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Two-Dimensional Finite Element in General Plane Motion Used in the Analysis of Multi-Body Systems"],"prefix":"10.3390","volume":"11","author":[{"given":"Eliza","family":"Chircan","sequence":"first","affiliation":[{"name":"Transilvania University of Bra\u015fov, B-dul Eroilor, 29, Bra\u015fov 500036, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria-Lumini\u0163a","family":"Scutaru","sequence":"additional","affiliation":[{"name":"Transilvania University of Bra\u015fov, B-dul Eroilor, 29, Bra\u015fov 500036, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4926-2189","authenticated-orcid":false,"given":"C\u0103t\u0103lin Iulian","family":"Pruncu","sequence":"additional","affiliation":[{"name":"Mechanical Engineering, Imperial College, Exhibition Rd., London SW7 2AZ, UK"},{"name":"Mechanical Engineering, School of Engineering, University of Birmingham, Birmingham B15 2TT, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.1115\/1.3428335","article-title":"A General Method for Kineto-Elastodynamic Analysis and Synthesis of Mechanisms","volume":"94","author":"Erdman","year":"1972","journal-title":"J. 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