Affiliation:
1. Department of Mechanical Engineering, Transilvania University of Brașov, 500036 Brașov, Romania
2. 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.
Funder
Transilvania University of Brasov
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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