ME532 ADVANCED MACHINERY VIBRATIONS
| Course Code: | 5690532 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. ENDER CİĞEROĞLU |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
By the end of the course the students will:
- understand the different forms of the mathematical models of linear structures
- know how to make modal analysis of multi degree of freedom damped and undamped systems
- understand and handle reduced mathematical models of large structures
- learn the tools to compare theoretical and experimental modal data and frequency response functions
- learn structural coupling/decoupling and structural modification methods for large structures
- learn how to determine modal models of MDOF systems
- learn how to make experimental modal analysis of nonlinear systems
Course Content
Response of proportionally and non-proportionally damped (viscously and structurally) multi degree of freedom (MDoF) systems. Frequency response functions for MDoF systems. Spatial, modal and response models of MDoF systems; complete and incomplete models. Model reduction/expansion techniques: static and dynamic condensation; system equivalent reduction/expansion process; expansion of experimental mode shapes. Theoretical and experimental comparison tools. Structural coupling/decoupling analysis methods: impedance coupling; FRF coupling; modal coupling; FRF decoupling. Structural modification methods: Dual Modal Space; structural modifications by Matrix Inversion Method. Singular value decomposition and its use in structural dynamics. Modal testing and experimental modal analysis. Experimental modal analysis of nonlinear structures.
Course Learning Outcomes
Students, who pass the course satisfactorily will be able to:
- make modal analysis of damped and undamped multi degree of freedom systems to determine free and forced vibration responses
- obtain and use various forms of frequency response functions (FRFs)
- understand the relation between spatial, modal and response mathematical models of linear structures
- obtain reduced mathematical models of large structures
- expand experimentally measured mode shape data
- compare theoretical modal data/FRFs with experimental counterparts by using the metrics developed for this purpose
- use structural coupling and structural modification methods in order to reduce computational effort for the analysis of large structures
- apply modal identification techniques to determine modal models of MDOF systems
- obtain modal models for nonlinear MDOF systems and use them in harmonic response analysis
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Acquires the fundamental scientific knowledge required to analyze and solve advanced-level problems in the field of mechanical engineering. | ✔ | |||
| 2 | Gains the competence to utilize advanced engineering mathematics methods in the formulation, analysis, and solution of engineering problems. | ✔ | |||
| 3 | Conducts literature reviews using printed and online sources, analyzes the collected literature, and identifies the current state-of-the-art in the relevant scientific field. | ✔ | |||
| 4 | Demonstrates the ability to prepare and deliver a seminar on a technical subject. | ✔ | |||
| 5 | Develops the ability to conduct independent research on a specific topic and solve advanced engineering problems. | ✔ | |||
| 6 | Contributes to the national and/or international body of knowledge through original research. | ✔ | |||
| 7 | Gains the competence to effectively communicate the process and results of research conducted on a specific subject through scientifically structured written reports and oral presentations. | ✔ | |||
| 8 | Acquires the ability to publish research findings as articles in national and/or international scientific journals and/or present them as papers at conferences. | ✔ | |||
| 9 | Acts in accordance with universal principles of research and publication ethics. | ✔ | |||