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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Kinematics and Dynamics of Mechanical Systems MKT505 Elective Master's degree 1 Fall 8

Name of Lecturer(s)

Assistant Prof. Dr. Serkan ZEREN

Learning Outcomes of the Course Unit

1) To teach the basic concepts of mechanic science
2) To provide information about the kinematics and kinetics of rigid bodies.
3) To perform dynamic analysis of mechanical systems.
4) To obtain the equations of motion of mechanical systems by using different methods.
5) To perform the dynamic simulation of mechanical systems.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4
Learning Outcomes
1 High Middle No relation No relation
2 High Middle Low No relation
3 High High Low No relation
4 No relation No relation No relation No relation
5 Low High No relation Low

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

n/a

Course Contents

Kinematics and kinetics of rigid bodies. Euler equations of motion. Euler angles. Coordinate transformations. Principle of Virtual Work. Lagrange Equations and its applications. Hamilton's Principle and applications. Hamilton Function and Hamilton Canonical Equation. First integrals, Routh method. Analysis and simulation of mechanical systems.

Weekly Schedule

1) The fundamentals of kinematics and kinetics.
2) Kinetics and kinematics of rigid bodies.
3) Types of rigid body motion and introduction to computer modelling.
4) The derivation of the Lagrange Equation, Potential Functions, Conservative Systems.
5) Some applications of Lagrange's Equation and finding constraint forces.
6) Lagranges equations of the first kind, the physical meaning of the Lagrange Multiplier.
7) Dynamic Simulation of Mechanical Systems Examples
8) Midterm Exam.
9) Introduction to Hamilton's Principle.
10) Applications of the Hamilton Principle.
11) Dynamic Simulations of Mechanical Systems
12) Hamilton Canonical Equations.
13) First integrals, ignorable coordinates.
14) Routh Method, Conservation Laws.
15) Computer Applications and Project Presentations.
16) Final Exam

Recommended or Required Reading

1- Metin Gürgöze, Analitik Mekaniğe Giriş, İTÜ Vakfı Yayınları, İstanbul, 2016.
2- F. Pasin, Mekanik Sistemlerin Dinamiği, İTÜ, İstanbul, 1994.
3- E. Rızaoğlu, N. Sünel, Klasik Mekanik, Seçkin Yayıncılık, Tokat, 2006
4- L.Meirovitch, Methods of Analytical Dynamics, McGraw-Hill, New York, 1970.
5- D.T. Greenwood, Classical Dynamics, Dover, New York, 1977.
6- H. Goldstein, Classical Mechanics, Addison-Wesley, Second Edition, 1964

Planned Learning Activities and Teaching Methods

1) Lecture
2) Simulation
3) Self Study
4) Problem Solving


Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

60%

 

Number

Percentage

Semester Studies

Midterm Examination

1

40%

Quiz

2

30%

Project

1

30%

 

Contribution of Final Examination to Course Grade

40%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required