Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MM110Y | Advanced Dynamic | Elective | 1 | 2 | 6 |
|
Level of Course Unit |
Second Cycle |
Objectives of the Course |
To teach fundamental theories about the methods of modern dynamics. To inform students about the analysis of dynamics of complex systems. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Recep ÇATAR |
Learning Outcomes |
1 | Dynamics of constrained systems, | 2 | Analysis of complex systems by using Lagrange equations, | 3 | Equations of general 3-dimansional motion, | 4 | CDA |
|
Mode of Delivery |
Normal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
"Dynamics of motion. Lagrange equations. 3-Dimensional rigid body dynamics. Euler equations.
Computational solution techniques. Poinsot construction. Spin stability. Rotation matrix. Coupled
system vibration. Generalized coordinates, velocities and forces. Generalized impuls and
momentum. Hamiltonian systems. Hamilton-Jacobi equations. " |
Weekly Detailed Course Contents |
|
1 | Dynamics of motion. Coordinate systems | | | 2 | Cylindirical, spherical and Frenet coordinate systems | | | 3 | Velocity and acceleration field of a rigid body | | | 4 | Principles of work-energy and impuls-momentum | | | 5 | Lagrange equations | | | 6 | Lagrange equations | | | 7 | Constrained systems | | | 8 | Mid-term exam | | | 9 | Computational dynamics methods | | | 10 | Computational dynamics methods | | | 11 | 3-dimensional dynamics of a rigid body. Euler equations. | | | 12 | 3-dimensional dynamics of a rigid body. Euler equations. | | | 13 | Poinsot construction. Spin stability. Rotation matrices
" | | | 14 | Hamiltonian systems. Hamilton-Jacobi equations | | | 15 | Hamiltonian sistemler. Hamilton-Jacobi denklemleri | | |
|
Recommended or Required Reading |
Greenwood, D.T., 2003, Advanced Dynamics, Cambridge University Press
Ying, S.-J., 1997, Advanced Dynamics, Reston, VA : American Institute of Aeronautics and Astronautics
Baruh, H., 1999, Analytical Dynamics, McGraw-Hill
Greenwood, D.T., 1977, Classical Dynamics, Prentice-Hall
Lanczos, C., 1962, The Variational Principles of Mechanics, Toronto Press
Press, W.H., et al., 1989, Numerical Recipies, Cambridge Press |
Planned Learning Activities and Teaching Methods |
|
Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
|
Workload Calculation |
|
Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Practice | 1 | 12 | 12 |
Project Preparation | 1 | 12 | 12 |
Seminar | 1 | 6 | 6 |
Self Study | 14 | 5 | 70 |
Individual Study for Mid term Examination | 1 | 10 | 10 |
Individual Study for Final Examination | 1 | 12 | 12 |
|
Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 2 | 3 | 2 | 2 | 3 | 2 | LO2 | 2 | 3 | 2 | 2 | 3 | 2 | LO3 | 2 | 3 | 2 | 2 | 3 | 2 | LO4 | 2 | 3 | 2 | 2 | 3 | 2 |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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