Euler-Lagrange equations for variational problems on space curves
Hornung, P., 2010. Euler-Lagrange equations for variational problems on space curves. Physical Review E, 81 (6), 066603.
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We derive the Euler-Lagrange equations for a large class of variational problems on curves. Our result generalizes a recent result obtained in the literature. Moreover, it is simple and self-contained. It directly yields Euler-Lagrange equations in the form of equilibrium equations for the internal force and moment.
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