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. HASAN NEVZAT ÖZGÜVEN
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 mak 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