Subject: Basic mechanics (17 - H112)


Basic Information

CategoryTheoretical-methodological
Scientific or art field:Mechanics
Interdisciplinaryyes
ECTS7
Native organizations units

Chair of Technical Mechanics
Course specification

Course is active from 01.10.2005..

To learn fundamental principles and methods of mechanical science, dealing with motion and deformation of bodies under the action of forces; to understand basic notions, definitions and usage of mechanics in problem posing and problem solving tasks; to develop abilities and skills related to applications of contemporary mathematical tools and information technologies in recognition, identification, formulation and possible solutions of mechanical problems; to get basic knowledge on engineering arguments and decision-making.
Ability to use the acquired knowledge in following engineering courses; to recognize both correct models of motion for wide class of real systems and estimate effects of different actions (forces, torques, friction); qualification to understand and use the language of equation in analysis of motion and energy balance for several mechanical systems; formulation, identification of model parameters, problem solving by use of MathCad or Mathematica and estimation of usability and feasibility for obtained solutions; possibility to practice individually, work hard, think creatively, communicate with other engineers, show understanding and skills, and apply the collected knowledge in design of new solutions for engineering problems
Objects under consideration and their basic movements in 3D. System of forces and torques. Motion of a point. Global and local properties of a rigid body in motion. Matrix approach in motion analysis. The Euler theorem. Composition of motions, the Coriolis theorem. The Newton axioms. Momentum, angular momentum about a point, kinetic energy of a material point and theorems on their changes. Dynamics of a mechanical system. The Newton-Euler equations. The König theorem. Spatial motion of a rigid body. Equivalent systems of forces. The Poisson theorem. State of equilibrium conditions for one body and systems. Collision mechanics: the distributional model of impact and approximative models, theories of the Hertz type. The Newton-Euler equations and energy dissipation related to impacts. The Painleve paradox and a linear complementary problem. Motions of a rigid body with standard linear viscoelastic layer in the presence of dry friction, the corresponding Cauchy problems given in forms of integro-differential inclusions and the influence of the restrictions imposed by the second law of thermodynamics on the energy dissipation of during the motion. Besides examples of academic type the usage of mechanics is shown on several engineering examples: a crankshaft; a ball bearing; the Cardan joint; a rolling disc; free, forced and damped oscillations, a vibration absorber, a dynamic balancing machine, motions of ships, vehicles and robots of unicycle type; loading of beams; stability of relative equilibrium states.
Deductive method is used. Notions and methods that can be used for solving a large number of problems are selected. Rarely, a single problem is solved using more diverse methods. Active students` participation is recommended, i.e. understanding during the lectures and individual work at home as homework assignments. Students who complete homework assignments are examined during the semester and hence pass the entire or the part of the practical part of the examination immediately after the course material in that field is presented in class. Apart from regular consultations, there are also pre-examination consultations with the direct preparation for the evaluation of the course content understanding, with computer animation and the Internet guide. Practice part of the examination – exercises which were passed during the semester are valid only in the first occurring examination term. Oral part of the examination is only for the students who pass the practical part.
AuthorsNameYearPublisherLanguage
AP MarkeevTeorijska mehanika1990Nauka MoskvaRussian language
IV MeščerskiZbirka zadataka iz mehanike1986Nauka MoskvaRussian language
KS KolesnikovZbirka zadataka iz teorijske mehanike1989Nauka MoskvaRussian language
B. BrogliatoNon-smooth mechanics1999Springer, LondonEnglish
F Pfeiffer and Ch GlockerDynamics of systems with unilateral constraints1995Wiley, New YorkEnglish
DT SpasićMehanika - deo 1: osnovna razmatranja2018u pripremiSerbian language
Course activity Pre-examination ObligationsNumber of points
Exercise attendanceYesYes5.00
HomeworkYesYes5.00
HomeworkYesYes5.00
HomeworkYesYes5.00
HomeworkYesYes5.00
Lecture attendanceYesYes5.00
Oral part of the examNoYes40.00
Practical part of the exam - tasksNoYes30.00
Name and surnameForm of classes
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Spasić Dragan
Full Professor

Lectures
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Grahovac Nenad
Associate Professor

Lectures
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Rehlicki-Lukešević Lidija
Assistant with PhD

Practical classes
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Ožvat Sanja
Assistant Professor

Practical classes