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

Author

Listed:
  • 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
    Technical Sciences Academy of Romania, B-dul Dacia 26, 030167 Bucharest, Romania)

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.

Suggested Citation

  • Maria Luminita Scutaru & Sorin Vlase, 2023. "Two-Dimensional Equivalent Models in the Analysis of a Multibody Elastic System Using the Finite Element Analysis," Mathematics, MDPI, vol. 11(19), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4149-:d:1252500
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    References listed on IDEAS

    as
    1. Sorin Vlase & Iuliu Negrean & Marin Marin & Silviu Năstac, 2020. "Kane’s Method-Based Simulation and Modeling Robots with Elastic Elements, Using Finite Element Method," Mathematics, MDPI, vol. 8(5), pages 1-21, May.
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