On Euler-Lagrange's Equations: A New Approach
DOI:
https://doi.org/10.5540/tema.2020.021.02.359Keywords:
composed vectors, connected rigid bodies, dynamicsAbstract
A new formalism is proposed to study the dynamics of mechanical systems composed of N connected rigid bodies, by introducing the concept of $6N$-dimensional composed vectors. The approach is based on previous works by the authors where a complete formalism was developed by means of differential geometry, linear algebra, and dynamical systems usual concepts. This new formalism is a method for the description of mechanical systems as a whole and not as each separate part. Euler-Lagrange's Equations are easily obtained by means of this formalism.References
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