abstract:Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics. It uses a different mathematical formalism, providing a more abstract understanding of the theory.
As aninverseproblem of Hamiltonianmechanics, anewHamiltoniansysteminelasticityand itsvariationalprincipleare derivedfrom the basicequations of elasticity.