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Title:Analitična mehanika
Authors:ID Ambrožič, Milan (Author)
ID Hölbl, Arbresha (Author)
ID Svetec, Milan (Reviewer)
ID Prapotnik Brdnik, Anita (Reviewer)
ID Garantini, Mojca (Copy-reader)
ID Perša, Jan (Technical editor)
Files:URL https://press.um.si/index.php/ump/catalog/book/827
 
.pdf RAZ_Ambrozic_Milan_2023.pdf (6,86 MB)
MD5: 1256DC882AF324FE73D8345EA60DB7F6
 
Language:Slovenian
Work type:Higher education textbook
Typology:2.03 - Reviewed University, Higher Education or Higher Vocational Education Textbook
Organization:FNM - Faculty of Natural Sciences and Mathematics
UZUM - University of Maribor Press
Abstract:Pri predmetu Analitična mehanika obravnavamo številne probleme iz mehanike, predvsem dinamike, na bolj matematično sistematičen način, kot je navada pri običajnih fizikalnih nalogah, npr. v zvezi z drugim Newtonovim zakonom. S tem lahko vključimo tudi kompleksnejše geometrije pri gibanju teles. Ključni del analitične mehanike je vpeljava generaliziranih koordinat kot neodvisnih spremenljivk gibanja, s katerimi izrazimo Lagrangeevo funkcijo ali pa Hamiltonian. Nazadnje moramo rešiti ustrezne diferencialne enačbe, da najdemo časovno odvisnost generaliziranih koordinat. Gravitacija in nihanje sta značilni področji, kjer koristno uporabimo matematični formalizem analitične mehanike.
Keywords:Lagrangeeva funkcija, Hamiltonian, Euler-Lagrangeeve enačbe, mehanika, variacijski račun, enostavna telesa in sistemi teles
Place of publishing:Maribor
Place of performance:Maribor
Publisher:Univerza v Mariboru, Univerzitetna založba
Year of publishing:2023
Year of performance:2023
PID:20.500.12556/DKUM-86520 New window
ISBN:978-961-286-805-5
UDC:531(075.8)(0.034.2)
COBISS.SI-ID:175018755 New window
DOI:10.18690/um.fnm.4.2023 New window
Publication date in DKUM:07.12.2023
Views:608
Downloads:97
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:07.12.2023

Secondary language

Language:English
Title:Analytical mechanics
Abstract:In the course Analytical mechanics numerous problems in mechanics, particularly topics from dynamics, are treated in a more systematic way, as compared to ordinary physical problems, e.g., in relation to second Newton law. In this way, we can also include more complex geometries in the motion of bodies. The key part od analytical mechanics is introduction of generalized coordinates as independent variables of motion, used to express either Lagrange function or Hamiltonian. Finally, the corresponding differential equations must be solved in order to find the time development of generalized coordinates. Gravitation and oscillation are typical areas where the mathematical formalism of analytical mechanics can be used.
Keywords:Lagrange function, Hamiltonian, Euler-Lagrange equations, mechanics, variational calculus, simple bodies and systems of bodies


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