Gang Li, Kevin Wong

Theory of Nonlinear Structural Analysis (eBook, PDF)

The Force Analogy Method for Earthquake Engineering

• Format: PDF

Produktbeschreibung

A comprehensive book focusing on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation This book focusses on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation. A review of the current nonlinear analysis method for earthquake engineering will be summarized and explained. Additionally, how the force analogy method can be used in nonlinear static analysis will be discussed through several nonlinear static examples. The emphasis of this book is to extend and develop the force analogy method to performing dynamic analysis on structures under earthquake excitations, where the force analogy method is incorporated in the flexural element, axial element, shearing element and so on will be exhibited. Moreover, the geometric nonlinearity into nonlinear dynamic analysis algorithm based on the force analogy method is included. The application of the force analogy method in seismic design for buildings and structural control area is discussed and combined with practical engineering.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 368
• Erscheinungstermin: 27. Februar 2014
• Englisch
• ISBN-13: 9781118718087
• Artikelnr.: 40660318

Autorenporträt

Gang Li, Dalian University of Technology, China Kevin K.F. Wong, Ph.D., University of California Los Angeles, USA

Inhaltsangabe

Preface 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 P-Delta 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 Functions 261 7.4.1 Force Analogy Method 261 7.4.2
Nonlinear Dynamic Analysis with the Force Analogy Method 262 7.4.3 State
Space Analysis with Geometric and Material Nonlinearities 263 7.5 Nonlinear
Dynamic Analysis with Static Condensation Using Stability Functions 272 7.6
Nonlinear Dynamic Examples 283 References 294 8 Application of the Force
Analogy Method in Modal Superposition 297 8.1 Nonlinear Static Pushover
Analysis in the FAM 298 8.1.1 NSPA for Mass-Normalized SDOF Systems 299
8.1.2 NSPA for Multi-Degree-of-Freedom Systems 303 8.2 Modal Decomposition
in the FAM 312 8.3 Modal Response Summation 318 8.4 Nonlinear Modal
Superposition Method Example 319 References 329 9 Application: Structural
Vibration Control 331 9.1 Passive Control Technique 331 9.1.1 Model of
Passive Energy-Dissipation Devices 331 9.1.2 Model of Framed Structures
with PEDDs 333 9.1.3 Force Analogy Method for Dynamical Analysis of
Multi-Degree-Freedom Systems 334 9.2 Application of the FAM in Active or
Semi-Active Structural Control 336 9.2.1 Background of MBC 336 9.2.2 Force
Analogy Method in Market-Based Control 342 References 349 Index 351