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1 | (32) |
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1.1 Source of Motion Problems |
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1 | (2) |
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1.2 Structural Motion Engineering Methodology |
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3 | (1) |
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1.3 Motion Versus Strength Issues: Static Loading |
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3 | (9) |
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1.3.1 Building Type Structures |
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3 | (7) |
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1.3.2 Bridge Type Structures |
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10 | (2) |
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1.4 Motion-Induced Problems: Periodic Loading |
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12 | (9) |
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1.4.1 Resonance-Related Problems |
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12 | (2) |
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1.4.2 Response for Periodic Excitation |
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14 | (7) |
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1.5 Motion Control Methodologies |
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21 | (5) |
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1.5.1 Passive and Active Control |
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21 | (5) |
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26 | (1) |
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26 | (7) |
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2 Optimal Stiffness Distribution: Static Loading |
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33 | (42) |
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33 | (1) |
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2.2 Governing Equations: Transverse Bending of Planar Beams |
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34 | (9) |
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2.2.1 Planar Deformation--Displacement Relations |
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34 | (1) |
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2.2.2 Optimal Deformation and Displacement Profiles |
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35 | (2) |
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2.2.3 Equilibrium Equations |
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37 | (1) |
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2.2.4 Force--Deformation Relations |
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38 | (5) |
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2.3 Stiffness Distribution for a Continuous Cantilever Beam Under Static Loading |
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43 | (5) |
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2.4 Buildings Modeled as Shear Beams |
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48 | (6) |
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2.4.1 Governing Equations for Buildings Modeled as Pseudo Shear Beams |
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48 | (4) |
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2.4.2 Stiffness Distribution for a Discrete Shear Beam: Static Loading |
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52 | (2) |
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2.5 Stiffness Distribution: Truss Under Static Loading |
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54 | (21) |
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2.5.1 An Introductory Example |
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54 | (8) |
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2.5.2 A General Procedure |
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62 | (13) |
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3 Optimal Stiffness/Damping for Dynamic Loading |
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75 | (66) |
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75 | (1) |
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3.2 Dynamic Response: MDOF |
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75 | (24) |
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3.2.1 Modal Equations: MDOF System |
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76 | (6) |
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3.2.2 General Solution: Convolution Integral |
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82 | (1) |
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3.2.3 Periodic Excitation |
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83 | (3) |
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3.2.4 Seismic Loading: Response Spectra |
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86 | (6) |
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92 | (7) |
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3.3 Stiffness Distribution for a Cantilever Beam: Dynamic Response |
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99 | (4) |
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3.4 Stiffness Distribution for a Discrete Shear Beam: Dynamic Response |
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103 | (2) |
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3.5 Stiffness Calibration: Fundamental Mode Response |
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105 | (26) |
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3.5.1 Discrete Shear Beam |
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105 | (4) |
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109 | (4) |
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3.5.3 Periodic Excitation |
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113 | (5) |
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118 | (1) |
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3.5.5 Construction of Spectral Displacement Response Spectra |
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119 | (8) |
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3.5.6 Calibration Examples |
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127 | (4) |
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3.6 Stiffness Modification for Seismic Excitation |
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131 | (10) |
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3.6.1 Iterative Procedure |
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131 | (1) |
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3.6.2 Multiple Mode Response |
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131 | (10) |
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4 Optimal Passive Damping Distribution |
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141 | (58) |
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141 | (5) |
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4.2 Viscous, Frictional, and Hysteretic Damping |
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146 | (10) |
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146 | (4) |
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150 | (2) |
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152 | (4) |
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4.3 Viscoelastic Material Damping |
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156 | (5) |
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4.4 Equivalent Viscous Damping |
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161 | (7) |
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4.5 Damping Parameters: Discrete Shear Beam |
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168 | (15) |
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168 | (3) |
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4.5.2 Rigid Structural Members: Linear Viscous Behavior |
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171 | (2) |
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4.5.3 Rigid Structural Members: Linear Viscoelastic Behavior |
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173 | (6) |
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4.5.4 Flexible Structural Members: Linear Viscoelastic Behavior |
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179 | (4) |
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4.6 Damping Parameters: Truss Beam |
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183 | (16) |
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4.6.1 Linear Viscous Behavior |
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184 | (1) |
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4.6.2 Linear Viscoelastic Behavior |
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185 | (14) |
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5 Tuned Mass Damper Systems |
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199 | (80) |
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199 | (1) |
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5.2 An Introductory Example |
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200 | (4) |
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5.3 Examples of Existing Tuned Mass Damper Systems |
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204 | (10) |
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5.3.1 Translational Tuned Mass Dampers |
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204 | (4) |
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5.3.2 Pendulum Tuned Mass Damper |
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208 | (6) |
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5.4 Tuned Mass Damper Theory for SDOF Systems |
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214 | (24) |
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5.4.1 Undamped Structure: Undamped TMD |
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214 | (2) |
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5.4.2 Undamped Structure: Damped TMD |
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216 | (11) |
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5.4.3 Damped Structure: Damped TMD |
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227 | (11) |
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5.5 Case Studies: SDOF Systems |
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238 | (7) |
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5.6 Tuned Mass Damper Theory for MDOF Systems |
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245 | (15) |
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5.7 Tuned Liquid Column Dampers |
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260 | (19) |
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5.7.1 Design Methodology for TLCD |
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269 | (10) |
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279 | (68) |
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279 | (1) |
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6.2 Isolation for SDOF Systems |
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280 | (16) |
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280 | (3) |
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6.2.2 Bearing Terminology |
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283 | (6) |
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6.2.3 Modified SDOF Model |
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289 | (1) |
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6.2.4 Periodic Excitation: Modified SDOF Model |
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290 | (3) |
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6.2.5 Seismic Excitation: Modified SDOF Model |
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293 | (3) |
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6.3 Design Issues for Structural Isolation Systems |
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296 | (6) |
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296 | (1) |
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6.3.2 Rigidity Under Low-Level Lateral Loads |
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297 | (3) |
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6.3.3 Energy Dissipation/Absorption |
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300 | (1) |
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6.3.4 Applicability of Base Isolation Systems |
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301 | (1) |
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6.4 Modeling Strategies for Rubber Bearings |
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302 | (6) |
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6.4.1 Modeling of a Natural Rubber Bearing |
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302 | (3) |
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6.4.2 Modeling of a Lead Rubber Bearing |
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305 | (3) |
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6.5 Examples of Existing Base Isolation Systems |
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308 | (9) |
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6.5.1 USC University Hospital |
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308 | (1) |
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6.5.2 Fire Department Command and Control Facility |
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308 | (1) |
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6.5.3 Evans and Sutherland Manufacturing Facility |
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309 | (1) |
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6.5.4 Salt Lake City Building |
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310 | (1) |
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6.5.5 The Toushin 24 Ohmori Building |
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311 | (2) |
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6.5.6 Bridgestone Toranomon Building |
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313 | (1) |
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6.5.7 San Francisco City Hall |
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314 | (1) |
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6.5.8 Long Beach V.A. Hospital |
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314 | (1) |
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6.5.9 Mills-Peninsula Health Services New Hospital |
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314 | (2) |
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6.5.10 Benicia-Martinez Bridge |
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316 | (1) |
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6.5.11 The Cathedral of Christ the Light |
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316 | (1) |
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6.6 Optimal Stiffness Distribution: Discrete Shear Beam |
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317 | (8) |
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6.6.1 Scaled Stiffness Distribution |
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317 | (5) |
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6.6.2 Stiffness Calibration for Seismic Isolation |
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322 | (3) |
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6.7 Optimal Stiffness Distribution: Continuous Cantilever Beam |
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325 | (22) |
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6.7.1 Stiffness Distribution: Undamped Response |
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325 | (7) |
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6.7.2 Fundamental Mode Equilibrium Equation |
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332 | (2) |
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6.7.3 Rigidity Calibration: Seismic Excitation |
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334 | (13) |
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Part II Active and Semi-Active Control |
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7 Applications of Active Control |
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347 | (40) |
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7.1 The Nature of Active and Semi-Active Control |
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347 | (11) |
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7.1.1 Active Versus Passive Control |
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347 | (3) |
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7.1.2 The Role of Feedback |
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350 | (1) |
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7.1.3 Computational Requirements and Models for Active Control |
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351 | (1) |
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7.1.4 An Introductory Example of Dynamic Feedback Control |
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352 | (6) |
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7.2 Active and Semi-Active Device Technologies |
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358 | (29) |
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7.2.1 Active Versus Semi-Active Devices |
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358 | (1) |
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7.2.2 Force Application Schemes |
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359 | (4) |
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7.2.3 Large-Scale Linear Actuators |
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363 | (3) |
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7.2.4 Semi-Active Device Technologies |
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366 | (10) |
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376 | (5) |
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381 | (6) |
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8 Structural Control Dynamics |
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387 | (96) |
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387 | (1) |
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8.2 State-Space Formulation: Linear Time-Invariant SDOF Systems |
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387 | (18) |
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8.2.1 Governing Equations |
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387 | (2) |
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8.2.2 Free Vibration Uncontrolled Response |
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389 | (2) |
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8.2.3 General Solution: Linear Time-Invariant Systems |
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391 | (2) |
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8.2.4 Stability Criterion |
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393 | (1) |
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8.2.5 Linear Negative Feedback |
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394 | (2) |
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8.2.6 Effect of Time Delay on Feedback Control |
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396 | (3) |
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8.2.7 Stability Analysis for Time Delay |
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399 | (6) |
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8.3 Discrete Time Formulation: SDOF Systems |
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405 | (18) |
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405 | (2) |
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8.3.2 Linear Negative Feedback Control |
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407 | (1) |
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8.3.3 Stability Analysis for Time-Invariant Linear Feedback Control |
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407 | (16) |
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8.4 State-Space Formulation for MDOF Systems |
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423 | (60) |
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8.4.1 Notation and Governing Equations |
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423 | (1) |
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8.4.2 Free Vibration Response: Time-Invariant Uncontrolled System |
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424 | (5) |
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8.4.3 Orthogonality Properties of the State Eigenvectors |
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429 | (2) |
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8.4.4 Determination of W and fj |
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431 | (2) |
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8.4.5 General Solution: Time-Invariant System |
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433 | (1) |
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8.4.6 Modal State-Space Formulation: Uncoupled Damping |
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433 | (3) |
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8.4.7 Modal State-Space Formulation: Arbitrary Damping |
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436 | (20) |
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8.4.8 Stability Analysis: Discrete Modal Formulation |
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456 | (18) |
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8.4.9 Controllability of a Particular Modal Response |
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474 | (3) |
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8.4.10 Observability of a Particular Modal Response |
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477 | (6) |
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483 | (62) |
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483 | (1) |
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9.2 Optimal Linear Feedback: Time-Invariant SDOF Systems |
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483 | (31) |
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9.2.1 Quadratic Performance Index |
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483 | (2) |
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9.2.2 An Example: Linear Quadratic Regulator Control Algorithm |
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485 | (4) |
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9.2.3 The Continuous Time Algebraic Riccati Equation |
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489 | (4) |
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9.2.4 The Discrete Time Algebraic Riccati Equation |
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493 | (9) |
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9.2.5 Finite Interval Discrete Time Algebraic Riccati Equation |
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502 | (2) |
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9.2.6 Continuous Time Riccati Differential Equation |
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504 | (1) |
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9.2.7 Variational Formulation of the Continuous Time Riccati Equation |
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505 | (9) |
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9.3 LQR Control Algorithm: MDOF Time-Invariant Systems |
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514 | (31) |
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9.3.1 Continuous Time Modal Formulation |
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514 | (2) |
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9.3.2 Discrete Time Modal Formulation |
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516 | (2) |
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9.3.3 Application Studies: LQR Control |
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518 | (27) |
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10 Advanced Control Theory |
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545 | (56) |
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545 | (1) |
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10.2 State Controllability |
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545 | (2) |
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547 | (3) |
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550 | (7) |
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10.5 Input--Output Relations: H2 and H∞ Control |
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557 | (14) |
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10.5.1 SDOF Input--Output Relations |
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557 | (4) |
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561 | (1) |
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10.5.3 Input--Output Relationships Revisited |
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562 | (7) |
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10.5.4 MDOF Input--Output Relations |
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569 | (2) |
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10.6 Introduction to Nonlinear Control |
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571 | (10) |
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10.6.1 Lyapunov Stability Theory |
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572 | (3) |
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10.6.2 Sliding Mode Control |
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575 | (6) |
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10.7 Applications to Semi-Active and Hybrid Systems |
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581 | (20) |
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10.7.1 Linear Controller for a Semi-Active TLCD |
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582 | (4) |
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10.7.2 Variable Stiffness |
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586 | (8) |
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594 | (7) |
Bibliography |
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601 | (6) |
Index |
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607 | |