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Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus

Enrico Bibbona·Lorenzo Fatibene·Mauro Francaviglia
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Abstract

Starting from a characterization of admissible Cheataev and vakonomic variations in a field theory with constraints we show how the so called parametrized variational calculus can help to derive the vakonomic and the non-holonomic field equations. We present an example in field theory where the non-holonomic method proved to be unphysical.

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Enrico Bibbona, Lorenzo Fatibene, Mauro Francaviglia. 2006-08-30. Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus. https://doi.org/10.1063/1.2709848

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