Theory and Application of Experimental Modal Analysis

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Mechanical VibrationsVibration AnalysisEngineering MechanicsSpectral AnalysisAdvanced Vibration Measurements

Course Contents

Content aims to be emphasized are the following. 1. the fundamental theories from the basics of single degree of freedom system tp multi-degrees of freedom systems up to the experimental modal analysis 2. Introduction of some kinds of modal vibration testing 3. Introduction of its practicability and data processing

Weekly Schedule

1) Overview of Structural Dynamic Modeling Techniques Modal Analysis and Structural Dynamics, Analytical Modal Analysis (Finite Element Models), Experimental Modal Analysis, Frequency Response Functions (FRFs), Mode Shapes from FRFs, Uses of Modal Analysis
2) Introduction to Modal Analysis Modal Analysis, Finite Element Analysis, Experimental Modal Analysis, Analytical and Experimental Modal Correlation
3) Modal Test Considerations Test Setup, FRF Measurements, Identify Modes, Estimate Mode Shapes, Validate Model
4) Basic Modal Analysis Theory and Related Topics Different Mathematical Model Formulations, SDOF Theoretical Overview, MDOF Theoretical Overview, Frequency Response Functions
5) Digitization, Quantization, Aliasing, Leakage Digitization of Time Signals, Quantization & Quantization Error, Sampling, Time vs. Frequency Aliasing, Fourier Transform, Leakage
6) Windows Rectangular / Hanning / Flat Top, Window Effects
7) Measurement Definitions Linear Spectra, Power Spectra, Derived Relationships, Auto Power Spectrum, Cross Power Spectrum, Frequency Response Function Coherence
8) Mid-term exam
9) Impact Excitation Hammer Tip Selection, Pre-trigger Delay, Double Impact, Impact Excitation – Examples
10) Shaker Excitation Excitation Configuration, Signal Types, Signal Characteristics, General Excitation Characteristics, Swept Sine Excitation, Random Excitation, Pseudo Random Excitation, Periodic Random Excitation, …, Comparisons
11) Mode Indicator Techniques Identification of Indication Functions Typically Employed (such as Mode Indicator Function, Multivariate Mode Indicator Function, Complex Mode Indicator Function, Stability Diagram, )
12) Basic Modal Parameter Estimation Parameter Estimation Concepts and Parameter Extraction Considerations Classification of Modes; Time and Frequency Domain Representations Mode Determination Tools; Model Order; Stability Diagram Modal Extraction Methods
13) Modal Parameter Estimation Guidelines Basic Curve Fitting; Considering Complicated Structures; Curve Fitting Guidelines
14) Transducers Transducer Calibration, Transducer Mounting Methods
15) Examples presentations
16) Final exam

Recommended or Required Reading

1- 1. The Fundamentals of Signal Analysis (Hewlett Packard App Note 243)
2- 2. Fundamentals of Modal Analysis (Hewlett Packard App Note 243-3)
3- 3. Experimental Modal Analysis - A Simple Non-Mathematical Overview http://sdasl.uml.edu/umlspace/s&v Jan2001 Modal Analysis.PDF
4- 4. Modal Space articles originally published in Experimental Techniques, http://sdasl.uml.edu/umlspace/mspace.html

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Modelling
6) Simulation
7) Case Study
8) Self Study
9) Problem Solving
10) Project Based Learning

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade	40%
Number Percentage Semester Studies Midterm Examination 1 90% Quiz 1 10%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required