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Experimental Modal Analysis

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Course Unit Code330-0535/02
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionEnglish
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
FOJ08doc. Ing. František Fojtík, Ph.D.
SOF007doc. Ing. Michal Šofer, Ph.D.
CIE0026Ing. Jakub Cienciala
Summary
The module deals with the identification of dynamical properties of mechanical structures using experimental modal analysis method. Student will become acquaintant with instrumentation and software used in modal testing, with preparation of a modal test, with methods of frequency response functions measurement and with methods of extracting modal parameters from the measured data. They will also learn, how to use the experimentally derived modal parameters for computational models updating.
Learning Outcomes of the Course Unit
Students will master problematics of modal tests both theoretically and practically. They will be able recognize in their future engineering practise, when it is appropriate to utilize results obtained by modal test as a part of solving the current problem and they will be able to gain these results. They will be able to use data from experiment for finite element models updating, which significantly increases validity of computational methods.
Course Contents
1. Modal test, its purpose and way of performing, basic concepts.
2. Dual channel analysis, definition of basic functions, coherence function.
3. Mobility measurement methods, basic measurement set-up.
4. Analyzers, digital signal processing.
5. Excitation methods.
6. Introduction to experimental modal analysis theory. One degree-of-freedom system, description and properties of 1 DOF frequency response function.
7. Undamped multi degree-of-freedom system, orthogonal properties and modal shapes scaling.
8. Damped multi degree-of-freedom system, types of damping.
9. Methods of extracting modal parameters.
10. Creating mathematical models of a structure (response, modal and spatial models).
11. Methods of comparing theoretical (FEM) model and experimentally derived model, modal assurance criterion, mass and stiffness error matrices.
12. Structural modifications.
13. Operational deflection shapes. Application of experimental modal analysis in technical diagnostics.
14. Operational modal analysis, multiple-input multiple-output analysis.
Recommended or Required Reading
Required Reading:
[1] BILOŠOVÁ, A.: Modal Testing. Dostupný z https://edison.sso.vsb.cz/cz.vsb.edison.edu.study.prepare.web/StudySupportsFileServlet/741add29-8922-4f2c-9ce4-563c2f19dc18;1.1/EMA_skriptaEN.pdf?inline=true
[2] EWINS, D.J.: Modal Testing: Theory, Practice and Application, second edition, Research Studies Press, Ltd., England 2000
[1] BILOŠOVÁ,A.: Aplikovaný mechanik jako součást týmu konstruktérů a vývojářů: část Modální zkoušky. Dostupný z https://www.vsb.cz/e-vyuka/cs/subject-version/?id=45363
[2] EWINS, D.J.: Modal Testing: Theory, Practice and Application, second edition, Research Studies Press, Ltd., England 2000
[3] BILOŠOVÁ, A.: Modal Testing. Dostupný z https://edison.sso.vsb.cz/cz.vsb.edison.edu.study.prepare.web/StudySupportsFileServlet/741add29-8922-4f2c-9ce4-563c2f19dc18;1.1/EMA_skriptaEN.pdf?inline=true
Recommended Reading:
[1] ZAVERI, K. Modal Analysis of Large Structures - Multiple Exciter Systems, Denmark 1985, ISBN 87 87355 03 5
[1] ZAVERI, K. Modální analýza velkých struktur - systémy s více vibrátory. Brno: VÚEZ, 1989. 128s.
[2] MILÁČEK, S. Modální analýza mechanických kmitů. Praha: ES ČVUT, 1992.
[3] ZAVERI, K. Modal Analysis of Large Structures - Multiple Exciter Systems, Denmark 1985, ISBN 87 87355 03 5
Planned learning activities and teaching methods
Lectures, Tutorials, Experimental work in labs
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit35 20
        ExaminationExamination65 25