On Euler-Lagrange's Equations: A New Approach
Copyright policy )On Euler-Lagrange's Equations: A New Approach
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.
- Universidade de Taubaté Brazil
- Universidade de São Paulo Brazil
connected rigid bodies, dinâmica, Dynamics of multibody systems, corpos rígidos conectados, composed vectors, dynamics, vetores compostos
connected rigid bodies, dinâmica, Dynamics of multibody systems, corpos rígidos conectados, composed vectors, dynamics, vetores compostos
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