Faculty of Technical Sciences

Subject: Mathematical theory of rods (17.DM403)

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 Deformable Body Mechanics
Interdisciplinary Yes
ECTS 10
Educational goal:

Formulating and solving problems of elastic rod stability theory.

Educational outcome:

Ability to apply methods of mathematical theory of elastic rods in solving engineering problems.

Course content:

Basic equations of nonlinear theory of elastic rods. Great deformations and material nonlinearity. Plain and spatial deformations. Influence of compressibility axis and sharing load on balance equations and movement. Stability analysis procedures. Euler`s method and their relation to bifurcations. Energy method. Ljapunov dynamic method and their relation to Euler`s and energy method. Examples of elastic rods stability analysis.

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
Feng, K., Shi, Z.C. Mathematical Theory of Elastic Structures 2013 Springer English
Yoo, C.H., Lee, S.C. Stability of Structures Principles and Applications 2011 Elsevier English
T. Atanackovic Stability Theory of Elastic Rods 1997 World Scientific English
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Project Yes Yes 50.00
Oral part of the exam No Yes 50.00
Lecturers:

prof. dr Novaković Branislava

Full Professor

Study research work

prof. dr Novaković Branislava

Full Professor

Lectures

Faculty of Technical Sciences

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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.