Faculty of Technical Sciences

Subject: Selected Topics of Analytical Mechanics (17.DM401)

Native organizations units: Chair of Machine Elements, Machine and Mechanism Theory and Mechanical Engineering in Agriculture
General information:
 
Category Scientific-professional
Scientific or art field Mechanics
Interdisciplinary Yes
ECTS 10
Educational goal:

Introducing students to classic terms in analytical mechanics.

Educational outcome:

Ability to solve problems in the field of mechanical systems movement with analytical mechanics methods.

Course content:

Dynamic connections classification. Movement classification. Lagrange izochrone variation. Generalization – non izochrone variation. Zurdenov, Gaussian and Manzzeron-Deleano variation. Lagrange-Dalamber principle of analytical mechanics. Lagrange equation of movement with nondetermined multiplicators. The connection between Lagrange – Dalamber principles and variational calculation. Hamilton variational principle of mechanics. Natural and forced two-point bourder conditions. Examples of formulating technical problems of dynamics by variational Hamilton principle.Hamilton canonian equations of analytical dynamics. Cannon transformations. Integration methods of cannon equations. Hamilton-Jacobi differential equation. Jacobi theoreme. First movement integral. Noether theorem. This program depends on candidate`s previous knowledge and can be adjusted to it.

Teaching methods:

Lectures, study research work and consultations. The lectures provide a theoretical part of the material using modern equipment and information and communication technologies. Through lectures, a student acquires and mastered contemporary scientific knowledge, scientific methods and procedures that enable him to become independent research work. In addition to lectures, consultations are also held regularly. Study research work includes all forms of teaching that are in the function of directly training a student for research, writing scientific papers and making a doctoral dissertation. Study research work includes active monitoring of primary scientific sources, organization and execution of numerical simulations and experimental research.

Literature:
Authors Title Year Publisher Language
E.T. Whittaker Analytical dynamics of particles and rigid bodies 1970 Cambridge UP English
A. L. Lurije Analitičeskaja mehanika 1961 Gos. izd. FML Moskva Russian language
G. Hamel Theoretische Mechanik 1949 Springer Berlin German
Cveticanin, L., Djukic, D. Advances in Dynamics 2015 Lap Lambert Academic Publishing English
Johns, O.D. Analytical Mechanics for Relativity and Quantum Mechanics 2005 Oxford University Press English
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Oral part of the exam No Yes 50.00
Project Yes Yes 50.00
Lecturers:
API Image

prof. dr Zuković Miodrag

Full Professor

Lectures

prof. dr Spasić Dragan

Full Professor

Study research work
API Image

prof. dr Zuković Miodrag

Full Professor

Study research work

prof. dr Spasić Dragan

Full Professor

Lectures
API Image

prof. dr Kovačić Ivana

Full Professor

Lectures
API Image

prof. dr Kovačić Ivana

Full Professor

Study research work

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

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Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.