Abstract
AbstractStarting from Hamilton's Principle, the current paper discusses how we can derive the Euler‐Maupertuis Principle of Least Action in the context of non‐smooth dynamics. This variational principle allows us to directly obtain the space curve y (x) of a point‐mass in a potential field V (x, y) without referring to the temporal dynamics. This paper generalises the Euler‐Maupertuis Principle of Least Action to systems with impact by formulating the principle as a variational inequality. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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