Introduction to Operational Modal Analysis [Hardcover]

• Covers all important aspects that are needed to understand why OMA is a practical tool for modal testing
• Covers advanced topics, including closely spaced modes, mode shape scaling, mode shape expansion and estimation of stress and strain in operational responses
• Discusses practical applications of Operational Modal Analysis
• Includes examples supported by MATLAB® applications
• Accompanied by a website hosting a MATLAB® toolbox for Operational Modal Analysis

Preface xi

1 Introduction 1

1.1 Why Conduct Vibration Test of Structures? 3

1.2 Techniques Available for Vibration Testing of Structures 3

1.3 Forced Vibration Testing Methods 4

1.4 Vibration Testing of Civil Engineering Structures 5

1.5 Parameter Estimation Techniques 5

1.6 Brief History of OMA 6

1.7 Modal Parameter Estimation Techniques 6

1.8 Perceived Limitations of OMA 10

1.9 Operating Deflection Shapes 10

1.10 Practical Considerations of OMA 11

1.11 About the Book Structure 13

References 15

2 Random Variables and Signals 17

2.1 Probability 17

2.1.1 Density Function and Expectation 17

2.1.2 Estimation by Time Averaging 19

2.1.3 Joint Distributions 21

2.2 Correlation 23

2.2.1 Concept of Correlation 23

2.2.2 Autocorrelation 24

2.2.3 Cross Correlation 25

2.2.4 Properties of CorrellC,