The equivalence of Boltzmann–Hamel and Gibbs–Appell equations in modeling constrained systems-Reference-Cited by-同舟云学术

The equivalence of Boltzmann–Hamel and Gibbs–Appell equations in modeling constrained systems

Published:2023-01-16 Issue:5 Volume:11 Page:2101-2111
ISSN:2195-268X
Container-title:International Journal of Dynamics and Control
language:en
Short-container-title:Int. J. Dynam. Control

Author:

Pius Pius,Selekwa Majura^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Control and Optimization,Mechanical Engineering,Modeling and Simulation,Civil and Structural Engineering,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s40435-023-01119-3.pdf

Reference33 articles.

1. Euler L, Mechanica Vol. 2 (1736). English translation by Ian Bruce at http://www.17centurymaths.com/contents/mechanica2.html

2. Lagrange JL, Mécanique analytique Vol. 2 (1789) English translation by Auguste Boissonnade and Victor N. Vagliente is available as Volume 191 of Boston Studies in Philosophy of Science Series released in 1997

3. Maggi GA (1896) Principii della teoria matematica del movimento dei corpi: corso di meccanica razionale (Ulrico Hoepli)

4. Maggi GA (1901) Di alcune nuove forme delle equazioni della dinamica applicabili ai sistemi anolonomi. Atti Acad Naz Lincei Rend Cl Fis Mat Nat 10(5):287–291

5. Kane TR, Levinson DA (1980) Formulation of equations of motion for complex spacecraft. J Guid Control 3(2):99–112. https://doi.org/10.2514/3.55956

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