The construction of variational principles
β Scribed by P.A. Mazurov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 380 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
We argue that there are four basic forms of the variational principles of mechanics: Hamilton's least action principle (HP), the generalized Maupertuis principle (MP), and their two reciprocal principles, RHP and RMP. This set is invariant under reciprocity and Legendre transformations. One of these
Variational principles, generalizing the classical d'Alembert-Lagrange, HΓΆlder, and Hamilton-Ostrogradskii principles, are established. After the addition of anisotropic dissipative forces and taking the limit, when the coefficient of viscous friction tends to infinity, these variational principles