THEORY OF NONLINEAR STRUCTURAL ANALYSIS

By JOSEPH BROWN

CONTENTS INTRODUCTION HISTORY OF THE FORCE ANALOGY METHOD APPLICATIONS OF THE FORCE ANALOGY METHOD STRUCTURAL VIBRATION CONTROL MODAL DYNAMIC ANALYSIS METHOD OTHER DESIGN AND ANALYSIS AREAS BACKGROUND OF THE FORCE ANALOGY METHOD REFERENCES NONLINEAR STATIC ANALYSIS PLASTIC ROTATION FORCE ANALOGY METHOD FOR STATIC SINGLE-DEGREE-OF-FREEDOM SYSTEMS INELASTIC DISPLACEMENT APPLICATION OF THE FAM ON SDOF SYSTEM NONLINEAR ANALYSIS USING FAM NONLINEAR STRUCTURAL ANALYSIS OF MOMENT-RESISTING FRAMES FORCE ANALOGY METHOD FOR STATIC MULTI-DEGREE-OF-FREEDOM SYSTEMS NONLINEAR STATIC EXAMPLES STATIC CONDENSATION NONLINEAR DYNAMIC ANALYSIS STATE SPACE METHOD FOR LINEAR DYNAMIC ANALYSIS EQUATION OF MOTION STATE SPACE SOLUTION SOLUTION PROCEDURE DYNAMIC ANALYSIS WITH MATERIAL NONLINEARITY FORCE ANALOGY METHOD STATE SPACE ANALYSIS WITH THE FORCE ANALOGY METHOD NONLINEAR DYNAMIC ANALYSIS WITH STATIC CONDENSATION NONLINEAR DYNAMIC EXAMPLES FLEXURAL MEMBER BENDING AND SHEAR BEHAVIORS HYSTERETIC MODELS DISPLACEMENT DECOMPOSITION LOCAL PLASTIC MECHANISMS INELASTIC MECHANISMS OF FLEXURAL MEMBERS COMBINATION OF THE BENDING AND SHEAR BEHAVIORS NONLINEAR STATIC ANALYSIS OF STRUCTURES WITH FLEXURAL MEMBERS NONLINEAR DYNAMIC ANALYSIS OF STRUCTURES WITH FLEXURAL MEMBERS HYSTERETIC BEHAVIORS OF THE FLEXURAL MEMBERS SOLUTION PROCEDURE OF THE FAM AXIAL DEFORMATION MEMBER PHYSICAL THEORY MODELS FOR AXIAL MEMBERS GENERAL PARAMETERS SLIDING HINGE MECHANISMS FORCE ANALOGY METHOD FOR STATIC AXIAL MEMBERS REGIONS O–AA AND O–F REGION F–G REGIONS AA–A AND A–B FORCE ANALOGY METHOD FOR CYCLING RESPONSE ANALYSIS OF AXIAL MEMBERS REGION B–C REGION C–D REGION D–E REGION E–F APPLICATION OF THE FORCE ANALOGY METHOD IN CONCENTRICALLY BRACED FRAMES FORCE ANALOGY METHOD FOR STATIC SDOF CBFS FORCE ANALOGY METHOD FOR STATIC MDOF CBFS FORCE ANALOGY METHOD FOR DYNAMICAL CBFS UNDER EARTHQUAKE LOADS SHEAR MEMBER PHYSICAL THEORY MODELS OF SHEAR MEMBERS FLEXURAL BEHAVIOR AXIAL BEHAVIOR SHEAR BEHAVIOR LOCAL PLASTIC MECHANISMS IN THE FAM BEHAVIOR OF VSH BEHAVIOR OF HSH NONLINEAR STATIC ANALYSIS OF THE SHEAR WALL STRUCTURES NONLINEAR DYNAMIC ANALYSIS OF RC FRAME-SHEAR WALL STRUCTURES HYSTERETIC BEHAVIORS OF THE RC SHEAR WALL MEMBERS GEOMETRIC NONLINEARITY CLASSICAL STIFFNESS MATRICES WITH GEOMETRIC NONLINEARITY THE P-? APPROACH THE GEOMETRIC STIFFNESS APPROACH STABILITY FUNCTIONS STIFFNESS MATRIX [KI] I ] FORCE ANALOGY METHOD WITH STABILITY FUNCTIONS NONLINEAR DYNAMIC ANALYSIS USING STABILITY FUNCTIONS NONLINEAR DYNAMIC ANALYSIS WITH THE FORCE ANALOGY METHOD STATE SPACE ANALYSIS WITH GEOMETRIC AND MATERIAL NONLINEARITIES NONLINEAR DYNAMIC ANALYSIS WITH STATIC CONDENSATION USING STABILITY FUNCTIONS APPLICATION OF THE FORCE ANALOGY METHOD IN MODAL SUPERPOSITION NONLINEAR STATIC PUSHOVER ANALYSIS IN THE FAM NSPA FOR MASS-NORMALIZED SDOF SYSTEMS NSPA FOR MULTI-DEGREE-OF-FREEDOM SYSTEMS MODAL DECOMPOSITION IN THE FAM MODAL RESPONSE SUMMATION NONLINEAR MODAL SUPERPOSITION METHOD EXAMPLE APPLICATION: STRUCTURAL VIBRATION CONTROL PASSIVE CONTROL TECHNIQUE MODEL OF PASSIVE ENERGY-DISSIPATION DEVICES MODEL OF FRAMED STRUCTURES WITH PEDDS FORCE ANALOGY METHOD FOR DYNAMICAL ANALYSIS OF MULTI-DEGREE-FREEDOM SYSTEMS APPLICATION OF THE FAM IN ACTIVE OR SEMI-ACTIVE STRUCTURAL CONTROL BACKGROUND OF MBC FORCE ANALOGY METHOD IN MARKET-BASED CONTROL