Beschreibung
InhaltsangabePreface ix About the Authors xi 1 Introduction 1 1.1 History of the Force Analogy Method 1 1.2 Applications of the Force Analogy Method 4 1.2.1 Structural Vibration Control 4 1.2.2 Modal Dynamic Analysis Method 6 1.2.3 Other Design and Analysis Areas 6 1.3 Background of the Force Analogy Method 6 References 14 2 Nonlinear Static Analysis 17 2.1 Plastic Rotation 17 2.2 Force Analogy Method for Static Single-Degree-of-Freedom Systems 19 2.2.1 Inelastic Displacement 19 2.2.2 Application of the FAM on SDOF System 20 2.2.3 Nonlinear Analysis Using FAM 22 2.3 Nonlinear Structural Analysis of Moment-Resisting Frames 26 2.4 Force Analogy Method for Static Multi-Degree-of-Freedom Systems 31 2.5 Nonlinear Static Examples 36 2.6 Static Condensation 52 References 61 3 Nonlinear Dynamic Analysis 63 3.1 State Space Method for Linear Dynamic Analysis 63 3.1.1 Equation of Motion 64 3.1.2 State Space Solution 66 3.1.3 Solution Procedure 68 3.2 Dynamic Analysis with Material Nonlinearity 72 3.2.1 Force Analogy Method 72 3.2.2 State Space Analysis with the Force Analogy Method 74 3.2.3 Solution Procedure 76 3.3 Nonlinear Dynamic Analysis with Static Condensation 87 3.4 Nonlinear Dynamic Examples 99 References 109 4 Flexural Member 111 4.1 Bending and Shear Behaviors 111 4.1.1 Hysteretic Models 111 4.1.2 Displacement Decomposition 113 4.1.3 Local Plastic Mechanisms 115 4.2 Inelastic Mechanisms of Flexural Members 115 4.2.1 Elastic Displacement X' 116 4.2.2 Plastic Bending Displacement X"1 117 4.2.3 Plastic Shear Displacement X"2 117 4.2.4 Combination of the Bending and Shear Behaviors 117 4.3 Nonlinear Static Analysis of Structures with Flexural Members 118 4.3.1 Force Analogy Method for Static Single-Degree-of-Freedom Systems 118 4.3.2 Force Analogy Method for Static Multi-Degree-of-Freedom Systems 129 4.4 Nonlinear Dynamic Analysis of Structures with Flexural Members 143 4.4.1 Hysteretic Behaviors of the Flexural Members 143 4.4.2 Solution Procedure of the FAM 146 References 159 5 Axial Deformation Member 161 5.1 Physical Theory Models for Axial Members 161 5.1.1 General Parameters 162 5.1.2 Displacement Decomposition 163 5.2 Sliding Hinge Mechanisms 164 5.3 Force Analogy Method for Static Axial Members 166 5.3.1 Regions O-Aa and O-F 166 5.3.2 Region F-G 166 5.3.3 Regions Aa-A and A-B 167 5.4 Force Analogy Method for Cycling Response Analysis of Axial Members 170 5.4.1 Region B-C 170 5.4.2 Region C-D 171 5.4.3 Region D'-A2 172 5.4.4 Region D-E 173 5.4.5 Region E-F 174 5.4.6 Region Aa2 -A2 174 5.5 Application of the Force Analogy Method in Concentrically Braced Frames 178 5.5.1 Force Analogy Method for Static SDOF CBFs 178 5.5.2 Force Analogy Method for Static MDOF CBFs 182 5.5.3 Force Analogy Method for Dynamical CBFs under Earthquake Loads 188 References 194 6 Shear Member 195 6.1 Physical Theory Models of Shear Members 195 6.1.1 Flexural Behavior 195 6.1.2 Axial Behavior 197 6.1.3 Shear Behavior 197 6.2 Local Plastic Mechanisms in the FAM 198 6.2.1 Displacement Decomposition 198 6.2.2 Behavior of VSH 199 6.2.3 Behavior of HSH 200 6.3 Nonlinear Static Analysis of the Shear Wall Structures 201 6.4 Nonlinear Dynamic Analysis of RC Frame-Shear Wall Structures 222 6.4.1 Hysteretic Behaviors of the RC Shear Wall Members 222 6.4.2 Solution Procedure of the FAM 224 References 234 7 Geometric Nonlinearity 235 7.1 Classical Stiffness Matrices with Geometric Nonlinearity 236 7.1.1 The PDelta Approach 237 7.1.2 The Geometric Stiffness Approach 238 7.2 Stability Functions 239 7.2.1 Stiffness Matrix [Ki] 240 7.2.2 Stiffness Matrix [K'i] 244 7.2.3 Stiffness Matrix [K"i ] 246 7.3 Force Analogy Method with Stability Functions 250 7.4 Nonlinear Dynamic Analysis Using Stability Funct
Autorenportrait
Gang Li, Dalian University of Technology, China Kevin K.F. Wong, Ph.D., University of California Los Angeles, USA
Leseprobe
Leseprobe
