| Abstract: | This contribution presents a computer algebra package for Lagrangian systems with p???1 independent and q???1 dependent variables. The Lagrangian may depend on the partial derivatives up to the order n???0 of the dependent variables with respect to the independent ones. In the case of one independent variable, p?=?1, the package derives the equations of motion in the form of a system of q ordinary differential equations of order 2n, for p?>?1 the result is a system of q partial differential equation up to the order 2n. In addition the package determines all the required boundary conditions in the case of p???3 and n???2. Since the presented method uses the concept of jet manifolds, a short introduction to the notation of jet theory is provided. Two examples — the Timoshenko beam and the Kirchhoff plate — demonstrate the main features of the presented computer algebra based approach. |
