Subject: Mechanics 1 – Fundamentals (06 - H112)

Basic Information

Scientific or art field:Mechanics
Native organizations units

Chair of Technical Mechanics
Course specification

Course is active from 01.10.2005..

Course which have preconditioned courses Mechanics 1 – Fundamentals

Course idMandatoryMandatory
Mechanics 2 - GeneralYesYes
Mechatronics 3 – Further ChaptersYesYes
Machine MechanicsYesNo
The teacher`s intent is that in this course the students: - Learn the fundamental notions and definitions related to mechanics as a science on forces, i.e. body movement and deformation influenced by forces - Understand the usage of these notions in the learning context of setting the problem and solving the problem - Develop the ability of recognizing problems in mechanics in the sense of identification, (model) formulation and possible solution - Use the computer for numerical and analytical solutions of dynamic problems - Be introduced to fundamental principles in engineering judgements and decision-making process.
After the course, students should be able to: - Relate the acquired knowledge to the courses in mechanics and strength of materials that follow, as well as to apply that knowledge in engineering disciplines that include mechanics as their tool - Recognize diverse movements of real systems, effects of diverse actions (force and force connections), analyze friction and energy balance - Apply the acquired knowledge in the movement analysis on concrete mechanical systems, i.e. identify, formulate (idealize the practical problems by applying adequate mathematical model) and solve problems in the field that implies the content that follows - Communicate with other engineers and work in a team - Practice individually, work hard and think creatively - Demonstrate understanding and skills, and use the learnt knowledge for designing new solutions for engineering problems.
Investigated objects and their basic motions. Force. Momentum of force for the point (and axis), force connections. Systems of force and force connections. Examples 1-16. Basic attributes in point motion. Global and local properties of a rigid body motion. Matrix mode of motion setting. Euler`s theorem. Complex point motion. Coriolis theorem. Examples 17-50. Axioms in dynamics. Amount of motion, momentum of motion amount for a selected point, kinetic energy of a material point and theorems on their motions. Basic theorems on system dynamics. Equivalent force systems. Newton-Euler equation. Koenig`s theorem. General case of rigid body motion. Examples 51-110. Poisson theorem. Force system invariations. Balance conditions for one and more bodies. Examples 111-130. Examples always begin from simple examples, and finish with concrete engineering applications. For example, motor crankshaft, ball bearing, universal (Cardan) joint, disk on rough surface, free, forced and damped oscillations with one and two degree-of-freedom, dynamic buffer, dynamic rotor balance, movement of ships, vehicles, etc. As examples, students also learn about different friction models, collision theory elements: distribution collision model with a rigid body, approximate models – Herzog type theories, Newton-Euler collision equations, energy balance in collision, Panleve paradox and line girder loading.
Deductive method is used at lectures. Notions and methods that can be used for solving a large number of tasks are selected. Rarely, a single task is solved using more diverse methods. Active students` participation is recommended, so each unit is learnt during the class already. At lectures, a part of examples is completed, and the rest is completed both at practice, but also individually at home as homework assignments. Students who complete homework assignments from each example group have the right to pass the course content 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 as computer practice 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.
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 razmatranja2007u pripremiSerbian language
Course activity Pre-examination ObligationsNumber of points
Exercise attendanceYesYes5.00
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

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Grahovac Nenad
Associate Professor

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Berecki Armin
Assistant with PhD

Practical classes
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Mirković Obrad

Practical classes