Two-Dimensional Equivalent Models in the Analysis of a Multibody Elastic System Using the Finite Element Analysis

Maria Luminita Scutaru () and Sorin Vlase
Additional contact information
Maria Luminita Scutaru: Department of Mechanical Engineering, Transilvania University of Brașov, 500036 Brașov, Romania
Sorin Vlase: Department of Mechanical Engineering, Transilvania University of Brașov, 500036 Brașov, Romania

Mathematics, 2023, vol. 11, issue 19, 1-15

Abstract: Analytical mechanics provides methods for analyzing multibody systems with mathematically equivalent elastic elements. The paper analyzes several of these models, highlighting the advantages and disadvantages offered by each of these methods. The main methods used by the researchers are described in a unitary form, presenting the methods of obtaining the evolution equations in each of these cases, mentioning the strengths and weaknesses of each method. The equations of Lagrange, Gibbs–Appell, Kane, Maggi, and Hamilton are analyzed for the particular case of two-dimensional systems, which present certain particularities that facilitate the analysis.

Keywords: finite element method; multibody systems; Lagrange; Maggi; Gibbs–Appell; Hamilton; Kane’s equation; energy of acceleration; analytical mechanics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/19/4149/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/19/4149/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:19:p:4149-:d:1252500

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().