This book investigates the substructuring technology in structural health monitoring (SHM) to improve the accuracy and efficiency of the present SHM methods. SHM has been developed for monitoring, evaluation, and maintenance of civil structures. As the civil structures are usually large scale and a large number of sensors are deployed on a structure, accurate evaluation and maintenance of civil structures are always time-consuming. The book establishes a fundamental framework of substructuring method for the fast analysis of finite element (FE) model and monitoring data. Several practical civil structures are used for illustration. The book is intended for undergraduate and graduate students who are interested in SHM technology, researchers investigating the accurate, efficient, and effective methods in SHM field, and engineers working on evaluation and maintenance of civil structures or other structural dynamics applications.
Author(s): Shun Weng, Hongping Zhu, Yong Xia
Series: Engineering Applications of Computational Methods, 15
Publisher: Springer
Year: 2023
Language: English
Pages: 294
City: Singapore
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
