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E-raamat: Theory of Nonlinear Structural Analysis: The Force Analogy Method for Earthquake Engineering

(School of Civil and Structural Engineering, Nanyang Technological University, Singapore),
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 20-Mar-2014
  • Kirjastus: John Wiley & Sons Inc
  • Keel: eng
  • ISBN-13: 9781118718094
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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 20-Mar-2014
  • Kirjastus: John Wiley & Sons Inc
  • Keel: eng
  • ISBN-13: 9781118718094
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"A comprehensive book focusing on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulationThis 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"--



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.

Preface ix
About the Authors xi
1 Introduction
1(16)
1.1 History of the Force Analogy Method
1(3)
1.2 Applications of the Force Analogy Method
4(2)
1.2.1 Structural Vibration Control
4(2)
1.2.2 Modal Dynamic Analysis Method
6(1)
1.2.3 Other Design and Analysis Areas
6(1)
1.3 Background of the Force Analogy Method
6(11)
References
14(3)
2 Nonlinear Static Analysis
17(46)
2.1 Plastic Rotation
17(2)
2.2 Force Analogy Method for Static Single-Degree-of-Freedom Systems
19(7)
2.2.7 Inelastic Displacement
19(1)
2.2.2 Application of the FAM on SDOF System
20(2)
2.2.3 Nonlinear Analysis Using FAM
22(4)
2.3 Nonlinear Structural Analysis of Moment-Resisting Frames
26(5)
2.4 Force Analogy Method for Static Multi-Degree-of-Freedom Systems
31(5)
2.5 Nonlinear Static Examples
36(16)
2.6 Static Condensation
52(11)
References
61(2)
3 Nonlinear Dynamic Analysis
63(48)
3.1 State Space Method for Linear Dynamic Analysis
63(9)
3.1.1 Equation of Motion
64(2)
3.1.2 State Space Solution
66(2)
3.1.3 Solution Procedure
68(4)
3.2 Dynamic Analysis with Material Nonlinearity
72(15)
3.2.1 Force Analogy Method
72(2)
3.2.2 State Space Analysis with the Force Analogy Method
74(2)
3.2.3 Solution Procedure
76(11)
3.3 Nonlinear Dynamic Analysis with Static Condensation
87(12)
3.4 Nonlinear Dynamic Examples
99(12)
References
109(2)
4 Flexural Member
111(50)
4.1 Bending and Shear Behaviors
111(4)
4.1.1 Hysteretic Models
111(2)
4.1.2 Displacement Decomposition
113(2)
4.1.3 Local Plastic Mechanisms
115(1)
4.2 Inelastic Mechanisms of Flexural Members
115(3)
4.2.1 Elastic Displacement x
116(1)
4.2.2 Plastic Bending Displacement x1
117(1)
4.2.3 Plastic Shear Displacement x2
117(1)
4.2.4 Combination of the Bending and Shear Behaviors
117(1)
4.3 Nonlinear Static Analysis of Structures with Flexural Members
118(25)
4.3.1 Force Analogy Method for Static Single-Degree-of-Freedom Systems
118(11)
4.3.2 Force Analogy Method for Static Multi-Degree-of-Freedom Systems
129(14)
4.4 Nonlinear Dynamic Analysis of Structures with Flexural Members
143(18)
4.4.1 Hysteretic Behaviors of the Flexural Members
143(3)
4.4.2 Solution Procedure of the FAM
146(13)
References
159(2)
5 Axial Deformation Member
161(34)
5.1 Physical Theory Models for Axial Members
161(3)
5.1.1 General Parameters
162(1)
5.1.2 Displacement Decomposition
163(1)
5.2 Sliding Hinge Mechanisms
164(2)
5.3 Force Analogy Method for Static Axial Members
166(4)
5.3.1 Regions O--Aa and O--F
166(1)
5.3.2 Region F--G
166(1)
5.3.3 Regions Aa--A and A--B
167(3)
5.4 Force Analogy Method for Cycling Response Analysis of Axial Members
170(8)
5.4.1 Region B--C
170(1)
5.4.2 Region C--D
171(1)
5.4.3 Region D--A2
172(1)
5.4.4 Region D--E
173(1)
5.4.5 Region E--F
174(1)
5.4.6 Region Aa2--A2
174(4)
5.5 Application of the Force Analogy Method in Concentrically Braced Frames
178(17)
5.5.1 Force Analogy Method for Static SDOF CBFs
178(4)
5.5.2 Force Analogy Method for Static MDOF CBFs
182(6)
5.5.3 Force Analogy Method for Dynamical CBFs under Earthquake Loads
188(6)
References
194(1)
6 Shear Member
195(40)
6.1 Physical Theory Models of Shear Members
195(3)
6.1.1 Flexural Behavior
195(2)
6.1.2 Axial Behavior
197(1)
6.1.3 Shear Behavior
197(1)
6.2 Local Plastic Mechanisms in the FAM
198(3)
6.2.1 Displacement Decomposition
198(1)
6.2.2 Behavior of VSH
199(1)
6.2.3 Behavior of HSH
200(1)
6.3 Nonlinear Static Analysis of the Shear Wall Structures
201(21)
6.4 Nonlinear Dynamic Analysis of RC Frame-Shear Wall Structures
222(13)
6.4.1 Hysteretic Behaviors of the RC Shear Wall Members
222(2)
6.4.2 Solution Procedure of the FAM
224(10)
References
234(1)
7 Geometric Nonlinearity
235(62)
7.1 Classical Stiffness Matrices with Geometric Nonlinearity
236(3)
7.1.1 The P-Δ Approach
237(1)
7.1.2 The Geometric Stiffness Approach
238(1)
7.2 Stability Functions
239(11)
7.2.1 Stiffness Matrix [ Ki]
240(4)
7.2.2 Stiffness Matrix [ Ki]
244(2)
7.2.3 Stiffness Matrix [ Ki]
246(4)
7.3 Force Analogy Method with Stability Functions
250(11)
7.4 Nonlinear Dynamic Analysis Using Stability Functions
261(11)
7.4.1 Force Analogy Method
261(1)
7.4.2 Nonlinear Dynamic Analysis with the Force Analogy Method
262(1)
7.4.3 State Space Analysis with Geometric and Material Nonlinearities
263(9)
7.5 Nonlinear Dynamic Analysis with Static Condensation Using Stability Functions
272(11)
7.6 Nonlinear Dynamic Examples
283(14)
References
294(3)
8 Application of the Force Analogy Method in Modal Superposition
297(34)
8.1 Nonlinear Static Pushover Analysis in the FAM
298(14)
8.1.1 NSPA for Mass-Normalized SDOF Systems
299(4)
8.1.2 NSPA for Multi-Degree-of-Freedom Systems
303(9)
8.2 Modal Decomposition in the FAM
312(6)
8.3 Modal Response Summation
318(1)
8.4 Nonlinear Modal Superposition Method Example
319(12)
References
329(2)
9 Application: Structural Vibration Control
331(20)
9.1 Passive Control Technique
331(5)
9.1.1 Model of Passive Energy-Dissipation Devices
331(2)
9.1.2 Model of Framed Structures with PEDDs
333(1)
9.1.3 Force Analogy Method for Dynamical Analysis of Multi-Degree-Freedom Systems
334(2)
9.2 Application of the FAM in Active or Semi-Active Structural Control
336(15)
9.2.1 Background of MBC
336(6)
9.2.2 Force Analogy Method in Market-Based Control
342(7)
References
349(2)
Index 351
Gang Li, Dalian University of Technology, China Kevin K.F. Wong, Ph.D., University of California Los Angeles, USA