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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024 Number 5, Pages 53–61 (Mi vmumm4630)

Mechanics

D’Alembert’s principle and classical relativity in the Lagrangian mechanics

B. Jovanović

Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade

Abstract: In this paper, we present an invariant formulation of the d'Alambert principle and classical time-dependent Lagrangian mechanics with holonomic constraints from the perspective of moving frames.

Key words: d'Alambert principle, holonomic constraint, Hamiltonian principle of least action, moving reference frame, virtual displacement, admissible velocity.

UDC: 531.011

Received: 18.10.2023

DOI: 10.55959/MSU0579-9368-1-65-5-6


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 79:5, 156–164

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© Steklov Math. Inst. of RAS, 2025