Maggi’s Equations Used in the Finite Element Analysis of the Multibody Systems with Elastic Elements

Sorin Vlase, Marin Marin and Maria Luminița Scutaru
Additional contact information
Sorin Vlase: Department of Mechanical Engineering, Transilvania University of Brașov, 500036 Brașov, Romania
Marin Marin: Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brașov, Romania
Maria Luminița Scutaru: Department of Mechanical Engineering, Transilvania University of Brașov, 500036 Brașov, Romania

Mathematics, 2020, vol. 8, issue 3, 1-12

Abstract: The main method used to determine the equations of motion of a multibody system (MBS) with elastic elements is the method of Lagrange’s multipliers. The assembly of equations for the whole system represents an important step in the elastodynamic analysis of such a system. This paper presents a new method of approaching this stage, by applying Maggi’s equations. In this way, the links that exist between the finite elements and the connections that exist between different bodies of the MBS system are conveniently taken into account, each body having a distinct velocity and acceleration field. Although Maggi’s equations have been used, sporadically, in some applications so far, we are not aware that they have been used in the study of elastic systems using the finite element method. Finally, an algorithm is presented that uses the Maggi formalism to obtain the equations of motion for an MBS system.

Keywords: finite element; Lagrange; Maggi; FEA; multibody system; MBS; nonlinear system; elastic elements; analytical dynamics; robotics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/3/399/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/3/399/ (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:8:y:2020:i:3:p:399-:d:330978

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 ().