Vol. 4(1), pp. 1-6, 2019
ISSN: 2384-6410
Copyright ©2019, the copyright of this article is retained by the author(s)
DOI Link: https://doi.org/10.15580/GJPNS.2019.1.102619193
https://gjournals.org/GJPNS
Condensed Lagrange Equations in Theoretical Mechanics
Anastas Ivanov Ivanov
Todor Kableshkov University of Transport, Sofia, Bulgaria
Article No.:102619193
Type: Review
DOI:10.15580/GJPNS.2019.1.102619193
In this article, new equations called Condensed Lagrange equations (CLE) are defined. With their help, the rigid body absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLEs are similar in structure to the classical Lagrange equations from second type, applied in vector-matrix form, but CLE are differing from them by four indicators. These differences are commented in detail in this article. The use of the CLE is fully equivalent to the application of the theorem, called Theorem for change of the rigid body generalized impulse. Using CLEs the differential equations in a matrix form, describing the rigid body absolute general motion, are obtained. CLEs enrich the theory of Rigid Body Mechanics. Moreover, CLEs represent a second alternative variant of the Theorem for change of the rigid body generalized impulse, they serve for verification, and finally, they make the study completely.
Submitted: 26/10/2019
Accepted: 29/10/2019
Published: 22/11/2019
*Corresponding Author
Anastas Ivanov
E-mail: aii2010@abv.bg
Keywords:
rigid body mechanics; condensed Lagrange equations; absolute general motion
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Journal Name : citation_journal : Greener Journal of Physics and Natural Sciences
Publication Status/Date : usp_status_date : 22/11/2019
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