Substructuring method for civil structural health monitoring / Shun Weng, Hongping Zhu, Yong Xia.

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...

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Bibliographic Details
Main Authors: Weng, Shun (Author), Zhu, Hongping (Author), Xia, Yong, 1971- (Author)
Format: eBook
Language:English
Published: Singapore : Springer, [2023]
Series:Engineering applications of computational methods ; v. 15.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Intro
  • 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.