Summary
Starting with Lagrange-D'Alembert's principle of virtual work conservation laws for the general continuous body are derived. For the case when the differential equations of motion are derivable from Hamilton's principle, our results are compared with those obtained by the use of Noether's theorem. Several new conservation laws are constructed.
Zusammenfassung
Es werden beginnend mit Lagrange-D'Alemberts Prinzip der virtuellen Arbeit Erhaltungssätze für kontinuierliche Körper hergeleitet. Für den Fall, daß die differentiellen Bewegungsgleichungen vom Hamiltonschen Prinzip ableitbar sind, können unsere Ergebnisse mit denen aus Noethers Theorem erhaltenen verglichen werden. Einige neue Erhaltungssätze werden aufgestellt.
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Atanackovic, T.M. On conservation laws for continuous bodies. Acta Mechanica 38, 157–167 (1981). https://doi.org/10.1007/BF01176460
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DOI: https://doi.org/10.1007/BF01176460