Preface |
|
ix | |
Acknowledgments |
|
xiii | |
|
|
1 | (24) |
|
1.1 Modal Properties of Bridges |
|
|
1 | (2) |
|
1.2 Basic Concept of the Vehicle Scanning Method |
|
|
3 | (2) |
|
1.2.1 Bridge Frequency Extraction |
|
|
3 | (1) |
|
1.2.2 Bridge Mode Shapes Construction |
|
|
4 | (1) |
|
1.3 Brief on the Works Conducted by Yang and Co-Workers |
|
|
5 | (2) |
|
1.4 Works Done by Researchers Worldwide |
|
|
7 | (15) |
|
1.4.1 Theoretical Analysis and Simulation |
|
|
8 | (8) |
|
|
16 | (4) |
|
1.4.3 Field Investigation |
|
|
20 | (2) |
|
|
22 | (3) |
|
2 Vehicle Scanning of Bridge Frequencies: Simple Theory |
|
|
25 | (26) |
|
|
25 | (2) |
|
2.2 Formulation of the Analytical Theory |
|
|
27 | (1) |
|
2.3 Single-Mode Analytical Solution |
|
|
28 | (6) |
|
2.4 Condition of Resonance |
|
|
34 | (5) |
|
2.5 Simulation by the Finite Element Method (FEM) |
|
|
39 | (2) |
|
2.6 Verification of Accuracy of Analytical Solutions |
|
|
41 | (1) |
|
2.7 Extraction of Fundamental Frequency of Bridge |
|
|
42 | (7) |
|
2.7.1 Effect of Moving Speed of the Vehicle |
|
|
46 | (1) |
|
2.7.2 Condition of Resonance |
|
|
46 | (2) |
|
2.7.3 Effect of Damping of the Bridge |
|
|
48 | (1) |
|
2.7 A Effect of a Vehicle Traveling over a Stiffer Bridge |
|
|
49 | (1) |
|
|
50 | (1) |
|
3 Vehicle Scanning of Bridge Frequencies: General Theory |
|
|
51 | (20) |
|
|
51 | (2) |
|
3.2 Physical Modeling and Formulation |
|
|
53 | (2) |
|
3.3 Dynamic Response of the Beam |
|
|
55 | (7) |
|
3.3.1 Beam's Response to a Single Moving Vehicle |
|
|
58 | (3) |
|
3.3.2 Beam's Response to Five Moving Vehicles |
|
|
61 | (1) |
|
3.4 Dynamic Response of the Moving Vehicle |
|
|
62 | (4) |
|
3.5 Numerical Verification |
|
|
66 | (3) |
|
|
69 | (2) |
|
4 Vehicle Scanning of Bridge Frequencies: Experiment |
|
|
71 | (20) |
|
|
71 | (1) |
|
4.2 Objective of This Chapter |
|
|
72 | (1) |
|
4.3 Description of the Test Bridge |
|
|
73 | (1) |
|
4.4 Description of the Test Vehicle |
|
|
73 | (2) |
|
|
75 | (1) |
|
|
75 | (2) |
|
4.7 Eigenvalue Analysis Results |
|
|
77 | (1) |
|
|
77 | (9) |
|
4.8.1 Ambient Vibration Test |
|
|
77 | (1) |
|
4.8.2 Vehicle Characteristics Test |
|
|
78 | (1) |
|
4.8.3 Bridge Response to the Moving Truck |
|
|
79 | (2) |
|
4.8.4 Response of the Test Cart Resting on the Bridge to the Moving Truck |
|
|
81 | (2) |
|
4.8.5 Response of the Moving Test Cart with No Ongoing Traffic |
|
|
83 | (2) |
|
4.8.6 Response of the Moving Test Cart with Ongoing Traffic |
|
|
85 | (1) |
|
4.9 Comparing the Measured Results with Numerical Results |
|
|
86 | (1) |
|
|
87 | (4) |
|
5 EMD-Enhanced Vehicle Scanning of Bridge Frequencies |
|
|
91 | (24) |
|
|
91 | (2) |
|
5.2 Analytical Formulation of the Problem |
|
|
93 | (3) |
|
5.3 Finite Element Simulation of the Problem |
|
|
96 | (1) |
|
5.4 Empirical Mode Decomposition |
|
|
97 | (2) |
|
5.5 Extraction of Bridge Frequencies by Numerical Simulation |
|
|
99 | (6) |
|
5.5.1 Example 1: Single Moving Vehicle |
|
|
101 | (1) |
|
5.5.2 Example 2: Five Sequential Moving Vehicles |
|
|
102 | (3) |
|
5.5.3 Example 3: Five Random Moving Vehicles |
|
|
105 | (1) |
|
|
105 | (9) |
|
|
114 | (1) |
|
6 Effect of Road Roughness on Extraction of Bridge Frequencies |
|
|
115 | (22) |
|
|
115 | (1) |
|
6.2 Simulation of Roughness Profiles |
|
|
116 | (1) |
|
6.3 Simulation of Bridges with Rough Surface |
|
|
117 | (1) |
|
6.4 Effect of Road Roughness on Vehicle Response |
|
|
118 | (4) |
|
6.4.1 Case 1: Vehicle Frequency Less than Any Bridge Frequencies |
|
|
119 | (1) |
|
6.4.2 Case 2: Vehicle Frequency Greater than the First Bridge Frequency |
|
|
119 | (3) |
|
6.5 Vehicle Responses Induced by Separate Excitational Sources |
|
|
122 | (1) |
|
6.6 Closed-Form Solution of Vehicle Response Considering Road Roughness |
|
|
122 | (5) |
|
6.7 Reducing the Impact of Road Roughness by Using Two Connected Vehicles |
|
|
127 | (4) |
|
|
131 | (4) |
|
6.8.1 Example 1. Two Identical Vehicles Moving over the Bridge of Class A Roughness |
|
|
131 | (1) |
|
6.8.2 Example 2. Two Identical Vehicles Moving over the Bridge of Class C Roughness |
|
|
131 | (1) |
|
6.8.3 Example 3. Two Vehicles of Identical Frequency but Different Properties |
|
|
132 | (1) |
|
6.8.4 Effect of Vehicle Spacing on Identification of Bridge Frequencies |
|
|
133 | (2) |
|
|
135 | (2) |
|
7 Filtering Technique for Eliminating the Effect of Road Roughness |
|
|
137 | (16) |
|
|
137 | (1) |
|
7.2 Numerical Simulations for Vehicle Responses |
|
|
138 | (3) |
|
|
141 | (4) |
|
7.3.1 Band-Pass Filter (BPF)/Band-Stop Filter (BSF) |
|
|
141 | (1) |
|
7.3.2 Singular Spectrum Analysis (SSA) |
|
|
142 | (2) |
|
7.3.3 Singular Spectrum Analysis with Band-Pass Filter (SSA-BPF) |
|
|
144 | (1) |
|
|
145 | (6) |
|
7.4.1 Case 1: Vehicle Frequency Smaller than First Bridge Frequency |
|
|
145 | (3) |
|
7.4.2 Case 2: Vehicle Frequency Greater than First Bridge Frequency |
|
|
148 | (3) |
|
|
151 | (2) |
|
8 Hand-Drawn Cart Used to Measure Bridge Frequencies |
|
|
153 | (22) |
|
|
153 | (3) |
|
8.2 Dynamic Properties of the Hand-Drawn Test Cart |
|
|
156 | (1) |
|
8.3 Basic Dynamic Tests for the Test Cart |
|
|
157 | (5) |
|
|
162 | (11) |
|
8.4.1 Effect of Cart Weight |
|
|
163 | (2) |
|
8.4.2 Effect of Various Traveling Speeds |
|
|
165 | (5) |
|
8.4.3 Various Volumes of Existing Traffic Flows |
|
|
170 | (3) |
|
|
173 | (2) |
|
9 Theory for Retrieving Bridge Mode Shapes |
|
|
175 | (620) |
|
|
175 | (1) |
|
9.2 Hilbert Transformation |
|
|
176 | (1) |
|
9.3 Theoretical Formulation |
|
|
177 | (4) |
|
9.4 Algorithms and Constraints |
|
|
181 | (604) |
|
|
785 | (8) |
|
9.5.1 Test Vehicle Passing through a Bridge with Smooth Road Surface |
|
|
186 | (1) |
|
9.5.2 Effect of Vehicle Speed |
|
|
187 | (3) |
|
9.5.3 Test Vehicle Traveling along with Random Traffic |
|
|
190 | (1) |
|
9.5.4 Effect of Road Surface Roughness |
|
|
190 | (3) |
|
|
193 | (2) |
|
10 Contact-Point Response for Modal Identification of Bridges |
|
|
195 | (1) |
|
|
195 | (2) |
|
10.2 Theoretical Formulation |
|
|
197 | (1) |
|
10.2.1 Dynamic Response of the Vehicle-Bridge Contact Point |
|
|
198 | (1) |
|
10.2.2 Dynamic Response of the Moving Vehicle |
|
|
199 | (2) |
|
10.2.3 Procedure for Calculating the Contact-Point Response in a Field Test |
|
|
201 | (1) |
|
10.2.4 Relationship Between the Contact-Point and Vehicle Responses |
|
|
201 | (3) |
|
10.3 Finite Element Simulation of VBI Problems |
|
|
204 | (2) |
|
10.3.1 Brief on VBI Element |
|
|
204 | (1) |
|
10.3.2 Verification of the Theoretical Solution |
|
|
205 | (1) |
|
10.4 Retrieval of Bridge Frequencies |
|
|
206 | (2) |
|
10.5 Retrieval of Bridge Mode Shapes |
|
|
208 | (4) |
|
10.5.1 Effect of Moving Speed |
|
|
209 | (1) |
|
10.5.2 Effect of Vehicle Frequency |
|
|
210 | (2) |
|
10.6 Effect of Road Roughness |
|
|
212 | (3) |
|
10.6.1 Bridge with Rough Surface Free of Existing Traffic |
|
|
212 | (2) |
|
10.6.2 Bridge with Rough Surface under Existing Traffic |
|
|
214 | (1) |
|
|
215 | (2) |
|
11 Damage Detection of Bridges Using the Contact-Point Response |
|
|
217 | (20) |
|
|
217 | (2) |
|
11.2 Dynamic Response of the Vehicle-Bridge System |
|
|
219 | (8) |
|
11.2.1 Contact-Point Response: Analytical Solution |
|
|
220 | (1) |
|
11.2.2 Contact-Point Response: For Use in Field Test |
|
|
220 | (1) |
|
11.3 Algorithm for Damage Detection |
|
|
221 | (1) |
|
11.3.1 Hilbert Transformation |
|
|
221 | (1) |
|
11.3.2 Strategy for Damage Detection |
|
|
221 | (3) |
|
11.4 Finite Element Simulation of the Problem |
|
|
223 | (2) |
|
11.4.1 Damage Element for Beams |
|
|
223 | (1) |
|
11.4.2 Brief on Vehicle-Bridge Interaction (VBI) Element Used |
|
|
224 | (1) |
|
11.5 Detection of Damages on a Beam |
|
|
225 | (3) |
|
11.5.1 Detection of Damage Location on the Beam |
|
|
225 | (1) |
|
11.5.2 Detection of Damage Severity |
|
|
226 | (2) |
|
11.5.3 Detection of Multiple Damages |
|
|
228 | (1) |
|
|
228 | (6) |
|
11.6.1 Effect of Test Vehicle Speed |
|
|
229 | (1) |
|
11.6.2 Effect of Measurement Noise |
|
|
229 | (1) |
|
11.6.3 Bridge with Rough Surface Free of Random Traffic |
|
|
230 | (2) |
|
11.6.4 Bridge with Rough Surface under Random Traffic |
|
|
232 | (2) |
|
|
234 | (3) |
Appendix: Finite Element Simulation |
|
237 | (10) |
References |
|
247 | (12) |
Author Index |
|
259 | (6) |
Subject Index |
|
265 | |