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Variational principles for systems with unilateral constraints

โœ Scribed by V.V. Rumyantsev

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
291 KB
Volume
70
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

Derivations and formulations are given of the variational principles of analytical mechanics for systems with unilateral ideal smooth constraints, originally established for systems with bilateral constraints. The virtual work principle, the Fourier inequality, the d'Alembert-Lagrange principle, the Gauss principle of least constraint and its modification -the Chetayev principle of maximum work, the Jourdain principle, the Hamilton-Ostrogradskii principle, the principle of least action in Lagrangian and Jacobian forms, and the Suslov-Voronets principle are described.

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