Boštjan Harl (Author), Marko Kegl (Author), Timi Karner (Author), Nenad Gubeljak (Reviewer), Boštjan Brank (Reviewer)

Abstract

Učbenik obravnava dinamiko masnih sistemov togih teles. V okviru kinematike je prikazan opis prostorskega gibanja v različnih koordinatnih sistemih, predstavljena je rotacijska matrika in njena parametrizacija ter Eulerjevi koti. Temu sledi dimamika in prikaz zakona o gibalni in vrtilni količini togega telesa. V okviru mehanskih nihanj so obravnavana lastna in vsiljena nihanja sistemov z eno in več prostostnimi stopnjami. Učbenik zaključuje področje analitične mehanike, ki vsebuje prikaz generaliziranih koordinat, virtualnega dela in generaliziranih sil. Predstavljeni so Newton-Eulerjev, Lagrangev in Hamiltonov pristop za tvorbo gibalnih enačb sistemov in njihovo numerično reševanje.

Keywords

toga telesa;kinematika;dinamika;mehanska nihanja;analitična mehanika;Lagrangev pristop;učbeniki;

Data

Language: Slovenian
Year of publishing:
Typology: 2.03 - Reviewed University, Higher Education or Higher Vocational Education Textbook
Organization: UM FS - Faculty of Mechanical Engineering
Publisher: Univerza v Mariboru, Univerzitetna založba
UDC: 531.391(0.034.2)
COBISS: 188292867 Link will open in a new window
ISBN: 978-961-286-835-2
Views: 403
Downloads: 32
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Other data

Secondary language: English
Secondary title: Dynamic of Mass Systems
Secondary abstract: This textbook deals with the dynamics of rigid-body mass systems. In the context of kinematics, the description of spatial motion in different coordinate systems is presented, as well as the rotation matrix and its parametrization, and Euler angles. This is followed by dynamics and a demonstration of the law of the rigid body momentum and rotational quantity. In the context of mechanical vibrations, the intrinsic and forced vibrations of single and multi-degree-of-freedom systems are discussed. The textbook concludes with an area of analytical mechanics, which includes the presentation of generalised coordinates, virtual work and generalised forces. Newton-Euler, Lagrangian and Hamiltonian approaches to the formulation of the equations of motion of systems and their numerical solution are presented.
Secondary keywords: Mehanika;
Type (COBISS): Higher education textbook
Pages: 1 spletni vir (1 datoteka PDF (II, 94, [1] str.))
DOI: 10.18690/um.fs.1.2024
ID: 23118530
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