Analitična mehanika

Milan Ambrožič (Author), Arbresha Hölbl (Author), Milan Svetec (Reviewer), Mojca Garantini (Lector)

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

analitična mehanika;dinamika;gravitacija;nihanje;ne zaključna dela;

Data

Language:	Slovenian
Year of publishing:	2023
Typology:	2.03 - Reviewed University, Higher Education or Higher Vocational Education Textbook
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	Univerza v Mariboru, Univerzitetna založba
UDC:	531(075.8)(0.034.2)
COBISS:	175018755
ISBN:	978-961-286-805-5
Views:	169
Downloads:	19
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Analytical mechanics
Secondary 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.
Secondary keywords:	Mehanika;Učbeniki za višje in visoke šole;Naloge, vaje itd.;
Type (COBISS):	Higher education textbook
Pages:	1 spletni vir (1 datoteka PDF (III, 242 str.))
DOI:	10.18690/um.fnm.4.2023
ID:	21520803