Acknowledgements preface Foreword 1 Foreword 2 Contents iii LIST OF SYMBOLS iv 1 Introduction 10 1.1 The objective of substructuring method in SHM 10 1.2 The category of substructuring method 11 1.3 Organization of the book 13 2 Substructuring method for eigensolutions 17 2.1 Preview 17 2.2 Basic methods for eigensolutions 19 2.2.1 Subspace Iteration method 19 2.

2.2 Lanczos method 20 2.3 Substructuring method for eigensolutions 22 2.3.1 Component mode synthesis 24 2.3.2 Kron''s substructuring method 28 2.3.

3 First-order residual flexibility based substructuring method 32 2.3.4. Second-order residual flexibility based substructuring method 35 2.3.5. Residual flexibility for free structure 37 2.4 Examples 40 2.

4.1 Three-span Frame Structure 40 2.4.2 The Balla Balla River Bridge 47 2.5 Summery 56 2.6 References 57 3 Substructuring method for eigensensitivity 59 3.1 Preview 59 3.2 Basic methods for eigensensitivity 60 3.

2.1 Eigenvalue derivatives 60 3.2.2 Eigenvector derivatives 61 3.3 Substructuring method for eigensensitivity 64 3.3.1 Eigenvalue Derivatives 64 3.3.

2 Eigenvector Derivatives 66 3.4 Examples 69 3.4.1 The Three-span Frame Structure 69 3.4.2 The Balla Balla River Bridge 74 3.5 Summery 81 3.6 References 81 4 Substructuring method for high-order eigensensitivity 83 4.

1 Preview 83 4.2 Basic method for high-order eigensensitivity 83 4.2.1 Second-order eigensolution derivatives 83 4.2.2 General high-order Eigensolution Derivatives 85 4.3 Substructuring method for high-order eigensensitivity 86 4.3.

1 Second-order eigensolution derivatives 86 4.3.1 High-order eigensolution derivatives 93 4.4 Examples 95 4.5 Summery 99 4.6 Reference 99 5 Iterative bisection scanning substructuring (IBSS) method for eigensolution and eigensensitivity 101 5.1 Preview 101 5.2 IBSS method for eigensolution 101 5.

3 IBSS method for eigensensitivity 105 5.3.1 Eigenvalue derivatives 105 5.3.2 Eigenvector derivatives 107 5.4 Examples 109 5.4.1 A cantilever plate 109 5.

4.1 The Guangzhou New Television Tower 114 5.5 Summary 123 5.6 References 123 6 Simultaneous iterative substructuring method for eigensolutions and eigensensitivity 125 6.1 Preview 125 6.2 SIS method for eigensolution 126 6.3 SIS method for eigensensitivity 130 6.3.

1 Eigenvalue derivative 130 6.3.2 Eigenvector derivative 133 6.4 Examples 135 6.4.1 A frame model 135 6.4.2 Wuhan Yangtze River Navigation Center 141 6.

5 Summary 148 6.6 References 149 6 Substructuring method considering elastic effects of slave modes in time domain 150 6.1 Preview 150 6.2 Basic method for time history dynamic response and response sensitivity 151 6.3 Substructuring method for time history dynamic response and response sensitivity 153 6.4 Examples 160 6.4.1 A three-bay frame 160 6.

4.2 Wuhan Yangtze River Navigation Center 168 6.5 Summery 172 6.6 References 173 7 Substructuring method considering inertial effects of slave modes in time domain 174 7.1 Preview 174 7.2 Substructuring method for time history dynamic response and response sensitivity 174 7.3 Examples 180 7.3.

1 A three-bay frame 180 7.3.2 Wuhan Yangtze River Navigation Center 184 7.4 Summery 187 7.5 References 187 8 Substructuring method to finite element model updating 189 8.1 Preview 189 8.2 Fundamentals of sensitivity-based finite element model updating using modal data 190 8.3 Fundamentals of sensitivity-based finite element model updating using time history data 191 8.

4 Finite element model updating by substructure-based modal data 192 8.5 Finite element model updating by substructure-based time history data 193 8.6 Examples 194 8.6.1 The Balla Balla Bridge 194 8.6.2 Wuhan Yangtze River Navigation Center 201 8.7 Summery 206 8.

8 References 207 10 Dynamic condensation to the calculation of eigensolutions and eigensensitivities 209 10.1 Preview 209 10.2 Static condensation approach 211 10.3 IOR method for eigensolutions 214 10.4 IOR method for eigensensitivity 217 10.4.1 Eigenvalue derivatives 217 10.4.

2 Eigenvector derivatives 222 10.5 Examples 225 10.5.1 GARTEUR frame 225 10.5.2 A cantilever plate 232 10.6 Summary 235 10.7 References 236 11 Dynamic condensation to the calculation of structural responses and response sensitivities 238 11.

1 Preview 238 11.2 IOR method for structural responses 238 11.3 IOR method for response sensitivities 242 11.4 Examples 243 11.4.1 A three-span frame 243 11.4.2 A cantilever plate 253 11.

5 Summary 259 11.6 References 259 12 Dynamic condensation approach to finite element mo.