Explicit generalization of Lagrange's equations for hybrid coordinate dynamical systems
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abstract
An explicit generalization of the classical Lagrange's equations (for discrete coordinate dynamical systems) to cover a large family of multibody hybrid discrete/distributed parameter systems is presented. The coupled system of ordinary and partial differential equations follows directly from spatial and time differentiation of various Lagrangian functionals, whereas the boundary conditions are directly established from another explicit set of symbolic variational equations. Five illustrative examples are presented.
