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| MAKL7533 | Mechanical Systems Dynamics | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of MECHANICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Nurhan GÜRSEL ÖZMEN | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | 1-To teach the fundamentals and concepts of mechanical systems which are necessary for analyzing dynamic systems with finite degrees of freedom.
2-To give the ways of obtaining govening equations of motions of systems and the necessary bond forces . |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | 1-Students will learn the fundamentals of mechanical concepts. | | | | PO - 2 : | 2-Students will learn to analyze the dynamics of linear mechanical systems with finite degrees of freedom | | | | PO - 3 : | 3- Students will learn to obtain the equations of motions of systems with different methods. | | | | PO - 4 : | 4- Students will learn to calculate the related bonding forces of the systems. | | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Fundamentals of mechanical systems dynamics. Degrees of freedom. Virtual work.
Lagrange equations. Lagrange muttipliers method. Hamilton's principle. Hamilton's function.
Generalization of Hamilton's principle to nonmechanical systems.
Hamilton Canonical equations. Variational calculations. Routh's method.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Fundamentals of mechanics. Generalized coordinates, degrees of freedom, bonds, forces, systems | | | Week 2 | Fundamentals of mechanics:Virtual work, D?Alembert's principle, Lagrange Principle | | | Week 3 | Lagrange equations, Potential function, conservative forces | | | Week 4 | Lagrange examples, bonding forces | | | Week 5 | Lagrange equations;Frictional systems, dissipation function, unit impulse function | | | Week 6 | Lagrange multipliers method, 1.st type Lagrange equations, examples | | | Week 7 | Hamilton's principle, fundamentals of variation | | | Week 8 | Deriving Hamilton's principle from Lagrange equation, and vice versa.. | | | Week 9 | First Exam | | | Week 10 | Generalized Hamilton's principle | | | Week 11 | Generalized Hamilton's principle | | | Week 12 | Applying Hamilton's principle to distributed parameter systems
| | | Week 13 | Calculating Kinetic Co-energy and potential energy of a torsional vibrating beam | | | Week 14 | Examples of distributed parameter systems | | | Week 15 | Fluid systems, electrical systems, thermal systems | | | Week 16 | Final exam | | | |
| 1 | L.Meirovitch : Methods of Analytical Dynamics, New-York, McGraw-Hill, 1970. | | | 2 | M. Gurgoze, analitik Mekaniğe Giriş, İTÜ Vakfı Yayınları, 2016 | | | |
| 1 | Y.Ercan:Mühendislik Sistemlerinin Dinamiğine Hamilton Prensibi Yaklaşımı.2016 | | | 2 | D.A.Wells : Theory and Problems of Lagrangian Dynamics,Schaums Outline Series,New York : McGraw-Hill,1967 | | | 3 | D.T.Greenwood : Principles of Dynamics, Sec.Ed., New Jersey, Prentice-Hall, 1988. | | | 4 | G.R. Fowles / G.L.Cassiday : Analytical Mechanics, 6th Ed. Fort Worth ,Saunders College Publishing,1999. | | | 5 | E. Rızaoğlu / N. Sünel : Klasik Mekanik, Tokat: Seçkin Yayıncılık, 2006 | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 10/04/2022 | 1,5 | 30 | | In-term studies (second mid-term exam) | 1113 | | 3 | 20 | | End-of-term exam | 16 | 01/06/2022 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 3 | 14 | 42 | | Arasınav için hazırlık | 3.5 | 8 | 28 | | Arasınav | 2 | 1 | 2 | | Ödev | 5 | 4 | 20 | | Dönem sonu sınavı için hazırlık | 4 | 6 | 24 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 160 |
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