| Preface |
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ix | |
| About the Authors |
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xi | |
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1 | (16) |
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1.1 History of the Force Analogy Method |
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1 | (3) |
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1.2 Applications of the Force Analogy Method |
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4 | (2) |
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1.2.1 Structural Vibration Control |
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4 | (2) |
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1.2.2 Modal Dynamic Analysis Method |
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6 | (1) |
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1.2.3 Other Design and Analysis Areas |
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6 | (1) |
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1.3 Background of the Force Analogy Method |
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6 | (11) |
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14 | (3) |
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2 Nonlinear Static Analysis |
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17 | (46) |
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17 | (2) |
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2.2 Force Analogy Method for Static Single-Degree-of-Freedom Systems |
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19 | (7) |
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2.2.7 Inelastic Displacement |
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19 | (1) |
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2.2.2 Application of the FAM on SDOF System |
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20 | (2) |
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2.2.3 Nonlinear Analysis Using FAM |
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22 | (4) |
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2.3 Nonlinear Structural Analysis of Moment-Resisting Frames |
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26 | (5) |
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2.4 Force Analogy Method for Static Multi-Degree-of-Freedom Systems |
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31 | (5) |
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2.5 Nonlinear Static Examples |
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36 | (16) |
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52 | (11) |
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61 | (2) |
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3 Nonlinear Dynamic Analysis |
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63 | (48) |
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3.1 State Space Method for Linear Dynamic Analysis |
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63 | (9) |
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64 | (2) |
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3.1.2 State Space Solution |
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66 | (2) |
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68 | (4) |
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3.2 Dynamic Analysis with Material Nonlinearity |
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72 | (15) |
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3.2.1 Force Analogy Method |
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72 | (2) |
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3.2.2 State Space Analysis with the Force Analogy Method |
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74 | (2) |
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76 | (11) |
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3.3 Nonlinear Dynamic Analysis with Static Condensation |
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87 | (12) |
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3.4 Nonlinear Dynamic Examples |
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99 | (12) |
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109 | (2) |
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111 | (50) |
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4.1 Bending and Shear Behaviors |
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111 | (4) |
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111 | (2) |
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4.1.2 Displacement Decomposition |
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113 | (2) |
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4.1.3 Local Plastic Mechanisms |
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115 | (1) |
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4.2 Inelastic Mechanisms of Flexural Members |
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115 | (3) |
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4.2.1 Elastic Displacement x |
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116 | (1) |
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4.2.2 Plastic Bending Displacement x1 |
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117 | (1) |
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4.2.3 Plastic Shear Displacement x2 |
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117 | (1) |
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4.2.4 Combination of the Bending and Shear Behaviors |
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117 | (1) |
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4.3 Nonlinear Static Analysis of Structures with Flexural Members |
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118 | (25) |
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4.3.1 Force Analogy Method for Static Single-Degree-of-Freedom Systems |
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118 | (11) |
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4.3.2 Force Analogy Method for Static Multi-Degree-of-Freedom Systems |
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129 | (14) |
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4.4 Nonlinear Dynamic Analysis of Structures with Flexural Members |
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143 | (18) |
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4.4.1 Hysteretic Behaviors of the Flexural Members |
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143 | (3) |
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4.4.2 Solution Procedure of the FAM |
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146 | (13) |
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159 | (2) |
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5 Axial Deformation Member |
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161 | (34) |
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5.1 Physical Theory Models for Axial Members |
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161 | (3) |
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162 | (1) |
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5.1.2 Displacement Decomposition |
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163 | (1) |
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5.2 Sliding Hinge Mechanisms |
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164 | (2) |
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5.3 Force Analogy Method for Static Axial Members |
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166 | (4) |
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5.3.1 Regions O--Aa and O--F |
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166 | (1) |
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166 | (1) |
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5.3.3 Regions Aa--A and A--B |
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167 | (3) |
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5.4 Force Analogy Method for Cycling Response Analysis of Axial Members |
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170 | (8) |
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170 | (1) |
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171 | (1) |
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172 | (1) |
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173 | (1) |
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174 | (1) |
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174 | (4) |
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5.5 Application of the Force Analogy Method in Concentrically Braced Frames |
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178 | (17) |
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5.5.1 Force Analogy Method for Static SDOF CBFs |
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178 | (4) |
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5.5.2 Force Analogy Method for Static MDOF CBFs |
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182 | (6) |
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5.5.3 Force Analogy Method for Dynamical CBFs under Earthquake Loads |
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188 | (6) |
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194 | (1) |
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195 | (40) |
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6.1 Physical Theory Models of Shear Members |
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195 | (3) |
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195 | (2) |
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197 | (1) |
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197 | (1) |
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6.2 Local Plastic Mechanisms in the FAM |
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198 | (3) |
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6.2.1 Displacement Decomposition |
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198 | (1) |
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199 | (1) |
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200 | (1) |
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6.3 Nonlinear Static Analysis of the Shear Wall Structures |
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201 | (21) |
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6.4 Nonlinear Dynamic Analysis of RC Frame-Shear Wall Structures |
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222 | (13) |
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6.4.1 Hysteretic Behaviors of the RC Shear Wall Members |
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222 | (2) |
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6.4.2 Solution Procedure of the FAM |
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224 | (10) |
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234 | (1) |
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235 | (62) |
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7.1 Classical Stiffness Matrices with Geometric Nonlinearity |
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236 | (3) |
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237 | (1) |
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7.1.2 The Geometric Stiffness Approach |
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238 | (1) |
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239 | (11) |
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7.2.1 Stiffness Matrix [ Ki] |
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240 | (4) |
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7.2.2 Stiffness Matrix [ Ki] |
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244 | (2) |
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7.2.3 Stiffness Matrix [ Ki] |
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246 | (4) |
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7.3 Force Analogy Method with Stability Functions |
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250 | (11) |
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7.4 Nonlinear Dynamic Analysis Using Stability Functions |
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261 | (11) |
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7.4.1 Force Analogy Method |
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261 | (1) |
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7.4.2 Nonlinear Dynamic Analysis with the Force Analogy Method |
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262 | (1) |
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7.4.3 State Space Analysis with Geometric and Material Nonlinearities |
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263 | (9) |
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7.5 Nonlinear Dynamic Analysis with Static Condensation Using Stability Functions |
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272 | (11) |
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7.6 Nonlinear Dynamic Examples |
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283 | (14) |
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294 | (3) |
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8 Application of the Force Analogy Method in Modal Superposition |
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297 | (34) |
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8.1 Nonlinear Static Pushover Analysis in the FAM |
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298 | (14) |
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8.1.1 NSPA for Mass-Normalized SDOF Systems |
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299 | (4) |
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8.1.2 NSPA for Multi-Degree-of-Freedom Systems |
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303 | (9) |
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8.2 Modal Decomposition in the FAM |
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312 | (6) |
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8.3 Modal Response Summation |
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318 | (1) |
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8.4 Nonlinear Modal Superposition Method Example |
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319 | (12) |
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329 | (2) |
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9 Application: Structural Vibration Control |
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331 | (20) |
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9.1 Passive Control Technique |
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331 | (5) |
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9.1.1 Model of Passive Energy-Dissipation Devices |
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331 | (2) |
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9.1.2 Model of Framed Structures with PEDDs |
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333 | (1) |
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9.1.3 Force Analogy Method for Dynamical Analysis of Multi-Degree-Freedom Systems |
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334 | (2) |
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9.2 Application of the FAM in Active or Semi-Active Structural Control |
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336 | (15) |
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336 | (6) |
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9.2.2 Force Analogy Method in Market-Based Control |
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342 | (7) |
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349 | (2) |
| Index |
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351 | |