Substructuring Method for Civil Structural Health Monitoring

Preface
Acknowledgements
Contents
Symbols
	Superscripts
	Subscripts
	Abbreviations
1 Introduction
	1.1 The Objective of Substructuring Method in Structural Health Monitoring
	1.2 The Category of Substructuring Model Updating Methods
	1.3 Organization of the Book
	References
Part I Linear Substructuring Methods
2 Substructuring Method for Eigensolutions
	2.1 Preview
	2.2 Basic Methods for Eigensolutions
		2.2.1 Subspace Iteration Method
		2.2.2 Lanczos Method
	2.3 Substructuring Method for Eigensolutions
		2.3.1 Component Mode Synthesis
		2.3.2 Kron’s Substructuring Method
		2.3.3 First-Order Residual Flexibility Based Substructuring Method
		2.3.4 Second-Order Residual Flexibility Based Substructuring Method
		2.3.5 Residual Flexibility for Free Substructure
	2.4 Examples
		2.4.1 A Three-Span Frame Structure
		2.4.2 The Balla Balla River Bridge
	2.5 Summary
	References
3 Substructuring Method for Eigensensitivity
	3.1 Preview
	3.2 Basic Methods for Eigensensitivity
		3.2.1 Eigenvalue Derivatives
		3.2.2 Eigenvector Derivatives
	3.3 Substructuring Method for Eigensensitivity
		3.3.1 Eigenvalue Derivatives
		3.3.2 Eigenvector Derivatives
		3.3.3 Derivative of Residual Flexibility
	3.4 Examples
		3.4.1 The Three-Span Frame Structure
		3.4.2 The Balla Balla River Bridge
	3.5 Summary
	References
4 Substructuring Method for High-Order Eigensensitivity
	4.1 Preview
	4.2 Basic Method for High-Order Eigensensitivity
		4.2.1 Second-Order Eigensolution Derivatives
		4.2.2 General High-Order Eigensolution Derivatives
	4.3 Substructuring Method for High-Order Eigensensitivity
		4.3.1 Second-Order Eigensolution Derivatives
		4.3.2 High-Order Eigensolution Derivatives
	4.4 Examples
	4.5 Summary
	References
5 Iterative Bisection Scanning Substructuring (IBSS) Method for Eigensolution and Eigensensitivity
	5.1 Preview
	5.2 IBSS Method for Eigensolution
	5.3 IBSS Method for Eigensensitivity
		5.3.1 Eigenvalue Derivatives
		5.3.2 Eigenvector Derivatives
	5.4 Examples
		5.4.1 A Cantilever Plate
		5.4.2 The Canton Tower
	5.5 Summary
	References
6 Simultaneous Iterative Substructuring Method for Eigensolutions and Eigensensitivity
	6.1 Preview
	6.2 SIS Method for Eigensolution
	6.3 SIS Method for Eigensensitivity
		6.3.1 Eigenvalue Derivative
		6.3.2 Eigenvector Derivative
	6.4 Examples
		6.4.1 A Frame Model
		6.4.2 Wuhan Yangtze River Navigation Center
	6.5 Summary
	References
7 Substructuring Method Considering Elastic Effects of Slave Modes in the Time Domain
	7.1 Preview
	7.2 Basic Method for Time History Dynamic Response and Response Sensitivity
	7.3 Substructuring Method for Time History Dynamic Response and Response Sensitivity
	7.4 Examples
		7.4.1 A Three-Bay Frame
		7.4.2 Wuhan Yangtze River Navigation Center
	7.5 Summary
	References
8 Substructuring Method Considering Inertial Effects of Slave Modes in the Time Domain
	8.1 Preview
	8.2 Substructuring Method for Time History Dynamic Response and Response Sensitivity
	8.3 Examples
		8.3.1 A Three-Bay Frame
		8.3.2 Wuhan Yangtze River Navigation Center
	8.4 Summary
	References
9 Substructuring Method for Finite Element Model Updating
	9.1 Preview
	9.2 Fundamentals of Sensitivity-Based FE Model Updating Using Modal Properties
	9.3 Fundamentals of Sensitivity-Based FE Model Updating Using Time History Data
	9.4 FE Model Updating by Substructuring Method Using Modal Data
	9.5 FE Model Updating by Substructuring Method Using Time History Data
	9.6 Examples
		9.6.1 The Balla Balla Bridge
		9.6.2 Wuhan Yangtze River Navigation Center
	9.7 Summary
	References
Part II Dynamic Condensation Methods
10 Dynamic Condensation for Eigensolutions and Eigensensitivities
	10.1 Preview
	10.2 Static Condensation Approach
	10.3 IOR Method for Eigensolutions
	10.4 IOR Method for Eigensensitivity
		10.4.1 Eigenvalue Derivatives
		10.4.2 Eigenvector Derivatives
	10.5 Examples
		10.5.1 GARTEUR Frame
		10.5.2 A Cantilever Plate
	10.6 Summary
	References
11 Dynamic Condensation to the Calculation of Structural Responses and Response Sensitivities
	11.1 Preview
	11.2 IOR Method for Structural Responses
	11.3 IOR Method for Response Sensitivities
	11.4 Examples
		11.4.1 A Three-Span Frame
		11.4.2 A Cantilever Plate
	11.5 Summary
	References
12 Dynamic Condensation Approach to Finite Element Model Updating
	12.1 Preview
	12.2 Dynamic Condensation-Based FE Model Updating Using Modal Data
	12.3 Dynamic Condensation-Based FE Model Updating Using Time History Data
	12.4 Examples
		12.4.1 Junshan Yangtze River Bridge
		12.4.2 Jiangyin Yangtze River Bridge
	12.5 Summary
	References
Part III Nonlinear Substructuring Methods
13 Substructuring Method for Responses and Response Sensitivities of Nonlinear Systems
	13.1 Preview
	13.2 Substructuring Method for Structural Responses of Nonlinear Systems
	13.3 Substructuring Method for Response Sensitivities of Nonlinear Systems
	13.4 Examples
		13.4.1 A Nonlinear Spring–Mass System
		13.4.2 A Nonlinear Frame Model
	13.5 Summary
	References
14 Model Updating of Nonlinear Structures Using Substructuring Method
	14.1 Preview
	14.2 Procedure of the Substructure-Based Nonlinear Model Updating Method
	14.3 Example: A Nonlinear Frame
		14.3.1 Model Updating Without Measurement Noises
		14.3.2 Model Updating with Measurement Noises
	14.4 Summary
	References
15 A Modal Derivative Enhanced Kron’s Substructuring Method for Response and Response Sensitivities of Geometrically Nonlinear Systems
	15.1 Preview
	15.2 Substructuring Method for Responses of Geometrically Nonlinear Systems
	15.3 Substructuring Method for Response Sensitivities of Geometrically Nonlinear Systems
	15.4 Computational Operation
	15.5 Example: A Hinged Plate Model
	15.6 Summary
	References
16 Epilogue
	16.1 Conclusions
	16.2 Prospects