Editorial |
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XI | |
About the Book Series Editor |
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XIII | |
Preface |
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XV | |
Dedication |
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XIX | |
Acknowledgements |
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XXI | |
About the Authors |
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XXIII | |
Chapter 1 Introduction |
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1 | (26) |
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1 | (1) |
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1.2 Background of the Moving Load Problem |
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1 | (2) |
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1.3 Models for the Vehicle–Bridge System |
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3 | (6) |
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1.3.1 Continuous Beam under Moving Loads |
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3 | (3) |
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1.3.1.1 Moving Force, Moving Mass and Moving Oscillator |
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3 | (1) |
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4 | (1) |
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5 | (1) |
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5 | (1) |
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6 | (1) |
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1.3.2 Continuous Plate under Moving Loads |
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6 | (3) |
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7 | (1) |
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7 | (1) |
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1.3.2.3 Quarter-truck Model |
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8 | (1) |
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8 | (1) |
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1.4 Dynamic Analysis of the Vehicle–Bridge System |
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9 | (3) |
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1.4.1 Methods based on Modal Superposition Technique |
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9 | (1) |
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1.4.2 Methods based on the Finite Element Method |
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10 | (2) |
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1.5 The Load Identification Techniques |
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12 | (5) |
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1.5.1 The Weigh-In-Motion Technique |
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12 | (1) |
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1.5.2 The Force Identification Techniques |
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13 | (1) |
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1.5.3 The Moving Force Identification Techniques |
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14 | (3) |
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1.6 Problem Statement on the Moving Load Identification |
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17 | (3) |
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1.7 Model Condensation Techniques |
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20 | (4) |
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24 | (3) |
Part I Moving Load Problems |
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Chapter 2 Dynamic Response of Multi-span Continuous Beams under Moving Loads |
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27 | (18) |
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27 | (1) |
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2.2 Multi-span Continuous Beam |
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27 | (12) |
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28 | (3) |
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28 | (2) |
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2.2.1.2 Dynamic Behavior under Moving Loads |
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30 | (1) |
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2.2.2 Solution with Assumed Modes |
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31 | (4) |
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2.2.2.1 Assumed Modes for a Uniform Beam |
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34 | (1) |
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2.2.2.2 Assumed Modes for a Non-uniform Beam |
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34 | (1) |
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2.2.3 Precise Time Step Integration versus Newmark-Beta Method |
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35 | (4) |
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2.2.3.1 Newmark-Beta Method |
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35 | (1) |
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2.2.3.2 Precise Time Step Integration Method |
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36 | (3) |
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2.3 Multi-span Continuous Beam with Elastic Bearings |
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39 | (5) |
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41 | (2) |
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2.3.2 Dynamic Behavior under Moving Loads |
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43 | (1) |
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44 | (1) |
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Chapter 3 Dynamic Response of Orthotropic Plates under Moving Loads |
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45 | (14) |
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45 | (1) |
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3.2 Orthotropic Plates under Moving Loads |
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45 | (9) |
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45 | (4) |
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3.2.2 Dynamic Behavior under Moving Loads |
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49 | (1) |
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3.2.3 Numerical Simulation |
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50 | (4) |
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3.2.3.1 Natural Frequency of Orthotropic Plates |
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50 | (1) |
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3.2.3.2 Simply Supported Beam-Slab Type Bridge Deck under Moving Loads |
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50 | (4) |
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3.3 Multi-span Continuous Orthotropic Plate under Moving Loads |
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54 | (4) |
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3.3.1 Dynamic Behavior under Moving Loads |
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55 | (1) |
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3.3.2 Modal Analysis of Multi-span Continuous Plates |
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56 | (2) |
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58 | (1) |
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58 | (1) |
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Chapter 4 Application of Vehicle–Bridge Interaction Dynamics |
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59 | (32) |
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59 | (1) |
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4.2 Bridge Dynamic Response |
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59 | (16) |
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4.2.1 Vehicle and Bridge Models |
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60 | (1) |
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4.2.2 Vehicle–Bridge Interaction |
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60 | (5) |
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4.2.3 Road Surface Roughness |
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65 | (1) |
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65 | (1) |
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4.2.5 Computational Algorithm |
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66 | (1) |
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4.2.6 Numerical Simulation |
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66 | (9) |
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4.3 Dynamic Loads on Continuous Multi-Lane Bridge Decks from Moving Vehicles |
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75 | (4) |
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76 | (1) |
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76 | (2) |
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4.3.3 Vehicle—Bridge Interaction |
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78 | (1) |
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79 | (9) |
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4.4.1 Dynamic Loading from a Single Vehicle |
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80 | (5) |
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4.4.2 Dynamic Loading from Multiple Vehicles |
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85 | (3) |
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88 | (3) |
Part II Moving Load Identification Problems |
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Chapter 5 Moving Force Identification in Frequency—Time Domain |
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91 | (22) |
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91 | (1) |
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5.2 Moving Force Identification in Frequency—Time Domain |
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91 | (8) |
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91 | (2) |
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5.2.2 Identification from Accelerations |
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93 | (2) |
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5.2.3 Solution in Time Domain |
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95 | (1) |
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5.2.4 Identification from Bending Moments and Accelerations |
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96 | (1) |
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5.2.5 Regularization of the Solution |
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97 | (2) |
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99 | (7) |
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5.3.1 Single Force Identification |
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100 | (1) |
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5.3.2 Two Forces Identification |
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101 | (5) |
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5.4 Laboratory Experiments with Two Moving Loads |
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106 | (6) |
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106 | (2) |
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5.4.2 Experimental Procedure |
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108 | (1) |
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5.4.3 Experimental Results |
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109 | (3) |
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112 | (1) |
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Chapter 6 Moving Force Identification in Time Domain |
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113 | (60) |
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113 | (1) |
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6.2 Moving Force Identification — The Time Domain Method (TDM) |
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114 | (11) |
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114 | (6) |
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6.2.1.1 Equation of Motion and Modal Superposition |
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114 | (1) |
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6.2.1.2 Force Identification from Bending Moments |
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115 | (2) |
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6.2.1.3 Identification from Accelerations |
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117 | (2) |
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6.2.1.4 Identification from Bending Moments and Accelerations |
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119 | (1) |
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120 | (2) |
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6.2.3 Experimental Studies |
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122 | (3) |
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125 | (1) |
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6.3 Moving Force Identification — Exact Solution Technique (EST) |
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125 | (46) |
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125 | (4) |
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6.3.1.1 Identification from Strains |
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126 | (2) |
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6.3.1.2 Identification from Accelerations |
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128 | (1) |
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6.3.1.3 Statement of the Problem |
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129 | (1) |
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129 | (6) |
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6.3.2.1 Identification from Strains |
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131 | (2) |
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6.3.2.2 Identification from Accelerations |
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133 | (1) |
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6.3.2.3 Computation Algorithm |
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134 | (1) |
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135 | (18) |
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135 | (9) |
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6.3.3.2 Two-dimensional Plate Model |
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144 | (9) |
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153 | (20) |
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153 | (6) |
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159 | (12) |
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171 | (2) |
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Chapter 7 Moving Force Identification in State Space |
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173 | (36) |
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173 | (1) |
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7.2 Method I – Solution based on Dynamic Programming |
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173 | (15) |
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173 | (2) |
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7.2.2 Formulation of Matrix G for Two Moving Loads Identification |
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175 | (1) |
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175 | (1) |
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7.2.4 Computation Algorithm |
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176 | (2) |
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178 | (5) |
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7.2.5.1 Single-Force Identification |
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179 | (1) |
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7.2.5.2 Two-Forces Identification |
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180 | (3) |
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7.2.6 Experiment and Results |
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183 | (4) |
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7.2.6.1 Single-Force Identification |
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184 | (2) |
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7.2.6.2 Two-Forces Identification |
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186 | (1) |
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7.2.7 Discussions on the Performance of Method I |
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187 | (1) |
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7.3 Method II – Solution based on Regularization Algorithm |
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188 | (20) |
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7.3.1 Discrete Time State–Space Model |
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188 | (4) |
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7.3.2 Moving Load Identification |
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192 | (1) |
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193 | (11) |
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7.3.3.1 Validation of Method II |
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195 | (1) |
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7.3.3.2 Study on the Effects of Sensor Type and Location |
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196 | (2) |
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7.3.3.3 Further Studies on the Sensor Location Effect and Velocity Measurement |
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198 | (3) |
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7.3.3.4 Effect of the Aspect Ratio of the Bridge Deck |
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201 | (1) |
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7.3.3.5 Further Studies on the Effect of Noise in Different Types of Measurements |
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202 | (2) |
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7.3.4 Experimental Studies |
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204 | (2) |
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7.3.4.1 Experimental Set-up |
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204 | (1) |
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7.3.4.2 Axle Loads and Wheel Loads Identification |
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204 | (2) |
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7.3.5 Comparison of the Two State–Space Approaches |
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206 | (2) |
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208 | (1) |
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Chapter 8 Moving Force Identification with Generalized Orthogonal Function Expansion |
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209 | (26) |
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209 | (1) |
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209 | (4) |
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209 | (1) |
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8.2.2 Generalized Orthogonal Function |
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210 | (1) |
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8.2.3 Wavelet Deconvolution |
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211 | (2) |
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8.3 Moving Force Identification |
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213 | (4) |
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213 | (2) |
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8.3.1.1 Generalized Orthogonal Function Expansion |
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213 | (1) |
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8.3.1.2 Moving Force Identification Theory |
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214 | (1) |
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215 | (2) |
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217 | (9) |
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8.4.1 Identification with a Beam Model |
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217 | (4) |
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217 | (2) |
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8.4.1.2 Two-Span Continuous Beam |
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219 | (2) |
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8.4.2 Identification with a Plate Model |
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221 | (5) |
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8.4.2.1 Study on the Noise Effect |
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222 | (1) |
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8.4.2.2 Identification with Incomplete Modal Information |
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223 | (1) |
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8.4.2.3 Effects of Travel Path Eccentricity |
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224 | (2) |
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226 | (7) |
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226 | (1) |
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8.5.1.1 Experimental Setup and Measurements |
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226 | (1) |
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8.5.1.2 Force Identification |
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226 | (1) |
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227 | (8) |
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8.5.2.1 Experimental Set-up |
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227 | (1) |
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8.5.2.2 Wheel Load Identification |
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228 | (2) |
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8.5.2.3 Effect of Unequal Number of Modes in the Response and in the Identification |
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230 | (3) |
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233 | (2) |
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Chapter 9 Moving Force Identification based on Finite Element Formulation |
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235 | (22) |
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235 | (1) |
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9.2 Moving Force Identification |
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235 | (9) |
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9.2.1 Interpretive Method I |
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235 | (1) |
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9.2.1.1 Predictive Analysis |
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235 | (1) |
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9.2.1.2 Interpretive Analysis |
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236 | (1) |
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9.2.2 Interpretive Method II |
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236 | (3) |
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9.2.3 Regularization Method |
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239 | (5) |
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9.2.3.1 Equation of Motion |
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239 | (2) |
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9.2.3.2 Vehicle Axle Load Identification from Strain Measurements |
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241 | (2) |
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9.2.3.3 Regularization Algorithm |
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243 | (1) |
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244 | (3) |
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9.3.1 Effect of Discretization of the Structure and Sampling Rate |
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244 | (1) |
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9.3.2 Effect of Number of Sensors and Noise Level |
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245 | (2) |
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9.4 Laboratory Verification |
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247 | (2) |
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9.4.1 Experimental Set-up |
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247 | (1) |
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9.4.2 Identification from Measured Strains |
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247 | (2) |
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249 | (6) |
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9.5.1 Effect of Noise Level |
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249 | (2) |
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9.5.2 Effect of Modal-Truncation |
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251 | (2) |
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9.5.3 Effect of Number of Measuring Points |
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253 | (1) |
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9.5.4 Effect of Sampling Frequency |
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253 | (2) |
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255 | (2) |
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Chapter 10 Application of Vehicle–Bridge Interaction Force Identification |
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257 | (32) |
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10.1 Merits and Disadvantages of Different Moving Force Identification Techniques |
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257 | (1) |
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10.2 Practical Issues on the Vehicle–Bridge Interaction Force Identification |
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258 | (4) |
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10.2.1 Bridge Weigh-In-Motion |
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258 | (1) |
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10.2.2 Moving Force Identification Techniques |
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259 | (3) |
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10.2.2.1 Access to Available Data |
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260 | (1) |
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10.2.2.2 Accuracy of Available Data |
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261 | (1) |
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10.3 Further Comparison of the FEM Formulation and the EST Method in the Vehicle–Bridge Interaction Identification |
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262 | (6) |
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10.3.1 Effect of Road Surface Roughness and Moving Speed |
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263 | (1) |
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10.3.2 Identification of Moving Loads on a Bridge Deck with Varying Speeds |
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264 | (3) |
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10.3.3 Identification with Incomplete Vehicle Speed Information |
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267 | (1) |
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10.4 Dynamic Axle and Wheel Load Identification |
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268 | (13) |
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10.4.1 Dynamic Axle Load Identification |
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268 | (7) |
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10.4.1.1 Study 1: Effect of Number of Modes |
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268 | (2) |
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10.4.1.2 Study 2: Effect of Measuring Locations |
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270 | (3) |
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10.4.1.3 Study 3: Effect of Load Eccentricities |
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273 | (2) |
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10.4.2 Wheel Load Identification |
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275 | (6) |
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10.4.2.1 Study 4: Effect of Measuring Locations |
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275 | (3) |
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10.4.2.2 Study 5: Effect of Load Eccentricities |
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278 | (2) |
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10.4.2.3 Study 6: Effect of Number of Modes |
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280 | (1) |
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10.5 Modifications and Special Topics on the Moving Load Identification Techniques |
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281 | (7) |
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10.5.1 First Order Hold Discrete versus Zeroth Order Hold Discrete |
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282 | (4) |
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10.5.1.1 Zeroth-Order Hold Discrete Method in Response Analysis |
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282 | (2) |
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10.5.1.2 Triangle First-Order Hold Discrete Method |
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284 | (2) |
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10.5.2 First Order Regularization versus Zeroth Order Regularization |
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286 | (4) |
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10.5.2.1 Tikhonov Regularization |
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286 | (1) |
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10.5.2.2 First-Order Tikhonov Regularization |
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287 | (1) |
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288 | (1) |
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Chapter 11 Concluding Remarks and Future Directions |
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289 | (4) |
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289 | (1) |
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290 | (3) |
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11.2.1 Effect of Uncertainties on Moving Force Identification |
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290 | (1) |
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11.2.2 Moving Force Identification with Complex Structures |
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291 | (1) |
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11.2.3 Integrated Bridge Weigh-In-Motion with Structural Health Monitoring |
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291 | (2) |
References |
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293 | (12) |
Subject Index |
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305 | (2) |
Structures and Infrastructures Series |
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307 | |