| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MM240 | Advanced Dynamics | 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) |
|
| 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 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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