Focus on nonlinear analysis research / Gualtiero Padovani and Manuel Occhino, editors.

Format:

Book

Contributor:

Padovani, Gualtiero.

Occhino, Manuel.

Series:

Mathematics research developments series.

Mathematics research developments

Language:

English

Subjects (All):

Nonlinear theories.

Regression analysis.

Physical Description:

1 online resource (218 p.)

Edition:

1st ed.

Place of Publication:

Hauppauge, N.Y. : Nova Science Publishers, Inc., 2013.

Language Note:

English

Summary:

In this book, the authors present current research on non-linear analysis, from across the globe. Topics include modelling of the characteristics of inelastic members of reinforced concrete structures in seismic non-linear analysis; automatic estimation of the apnea-hypopnea index from oxygen saturation recordings using non-linear regression analysis; non-linearity in bridge structural analysis; non-linear analysis of spontaneous MEG activity in Alzheimer's disease; mesh free-enriched finite element methods for non-linear analysis of path-independent and path-dependent problems in solids; non-linear analysis research in biomedical engineering; and non-linear evolution analysis for flow during alloy crystallisation.

Contents:

Intro

FOCUS ON NONLINEAR ANALYSIS RESEARCH

CONTENTS

PREFACE

MODELLING OF CHARACTERISTICS OF INELASTIC MEMBER OF REINFORCED CONCRETE STRUCTURES IN SEISMIC NONLINEAR ANALYSIS

ABSTRACT

1. INTRODUCTION

2. AVAILABLE CHORD ROTATIONS OF STRUCTURAL R/C MEMBERS OF BUILDING

2.1. General

2.2. Stress-Strain Diagram of Unconfined Concrete

2.3. Stress-Strain Diagram of Cold Worked Steel

2.4. Stress-Strain Diagram of Confined Concrete

2.4.1. Numerical Example

2.5. Available Yield Chord Rotation θ of a Cantilever y

2.6. Available Ultimate Chord Rotation θ of a Cantilever usy

2.7. Available Cyclic Shear Strength V of a Cantilever R1

2.8. Moment-Chord Rotation Diagram M-θ of the Cantilever

2.9. Effective Flexural Stiffness of Member Sections

2.10. Numerical Application

2.11. Modelling of Masonry Infill Walls

3. SEISMIC DEMAND CHORD ROTATIONS OF STRUCTURAL MEMBERS OF BUILDING

3.1. Exterior Roof Joint in Single-Storey Frame

3.1.1. First Plastic Hinge at Beam-End

3.1.2. Seismic Demand Plastic Rotation at the Beam-End for pbuu demy

3.2. Interior Roof Joint in Single-Storey Frame

3.2.1. First Plastic Hinge at Beam-End

3.2.2. Demand Plastic Rotation at the Beam-End for pbuu demy1

3.3. Exterior and Interior Floor Joint in Multi-Storey Frame

3.3.1. First Plastic Hinge at Beam-End

3.3.2. Demand Plastic Chord Rotation at Beam-End pb

4. DISCUSSION

REFERENCES

AUTOMATIC ESTIMATION OF THE APNEA-HYPOPNEA INDEX FROM OXYGEN SATURATION RECORDINGS USING NON-LINEAR REGRESSION ANALYSIS

2. SUBJECTS AND SIGNALS

3. METHODS

3.1. Signal Preprocessing

3.2. Feature Extraction

3.2.1. Time-Domain Analysis of SaO2 Data

3.2.2. Frequency-Domain Analysis of SaO2 Data.

3.3. Generalized Regression Neural Networks (GRNN)

4. RESULTS

4.1. Performance Assessment

4.2. Training Set

4.3. Test Set

5. DISCUSSION

CONCLUSION

ACKNOWLEDGMENTS

NONLINEARITY IN BRIDGE STRUCTURAL ANALYSIS

2. ANALYTICAL APPROACH

Linearity and Nonlinearity Iterations

Elastic and Inelastic Buckling Analyses

3. MATERIAL NONLINEARITY

Stress-Strain Relationships

Unconfined and Confined Concrete

Reinforcing Steel and Structural Steel

Others

4. GEOMETRY NONLINEARITY

Deflection Theory of Long-Span Bridges

Modern Matrix Analysis

5. NONLINEARITY DUE TO CHANGE OF STATUS

Types of Gap Elements

Example "Contact" Problems by 3-D Friction-Gap Element

6. NONLINEAR ANALYSIS OF LONG-SPAN BRIDGES

Cable Stayed Bridge Example

Suspension Bridge Example

7. NONLINEAR SEISMIC ANALYSIS OF BRIDGE STRUCTURES

Linear and Nonlinear Seismic Analyses

Nonlinear Time-History Analysis

Modal Pushover Analysis (MPA) Procedure for Bridges' Application

Case Study

1. Analyzed Bridge Model

2. Foundation Stiffness

NONLINEAR ANALYSIS OF SPONTANEOUS MEG ACTIVITY IN ALZHEIMER'S DISEASE

2. MATERIALS

2.1. Subjects

2.2. MEG Recording

3. METHODOLOGY

3.1. Lempel-Ziv Complexity (LZC)

3.2. Sample Entropy (Sampen)

3.3. Detrended Fluctuation Analysis (DFA)

MESHFREE-ENRICHED FINITE ELEMENTMETHOD FOR NONLINEAR ANALYSIS OF PATH-INDEPENDENT AND PATH- DEPENDENT PROBLEMS IN SOLIDS

2. ELEMENT FORMULATION

2.1. Meshfree-Enriched Finite Element Triangular Elements

2.2. Smoothing of Deformation Gradient in Meshfree-Enriched Finite Element Triangular Elements.

3. NONLINEAR MESHFREE-ENRICHED FINITE ELEMENT FORMULATION

3.1. Elasticity

3.1.1. Modified Variational Functional and Material Nonlinearity

3.1.2. Nonlinear Finite Element Formulation and Discrete Equation

3.2. Plasticity

4. NUMERICAL EXAMPLES

4.1. Radial Bushing of Rubber Cylinder

4.2. Compression Problem

4.3. Punch Problem

NONLINEAR ANALYSIS RESEARCH IN BIOMEDICAL ENGINEERING

INTRODUCTION

NONLINEAR METHODS IN BIOLOGY AND PHYSIOLOGY

POINCARE PLOT

APPROXIMATE ENTROPY

SAMPLE ENTROPY

FRACTAL DIMENSION

CORRELATION DIMENSION

DETRENDED FLUCTUATION ANALYSIS

RECURRENCE PLOT

REQUIREMENTS FOR NONLINEAR ANALYSIS

NONLINEAR EVOLUTION ANALYSIS FOR FLOW DURING ALLOY CRYSTALLIZATION

Abstract

1.Introduction

2.MushyLayerwithaPermeableMush-LiquidInterface

2.1.SolutionProcedure

2.2.BasicStateSolutions

2.3.PerturbedSystem

2.4.DerivationofLinear,First-orderandSecond-orderSystems

2.4.1.LinearSystem

2.4.2.AdjointSystem

2.4.3.FirstOrderSystem

Two-αMode

Zero-αMode

2.4.4.SecondOrderSystem

2.5.DerivationoftheLandau-typeEquation

2.6.NumericalResultsforPermeableMush-LiquidInterface

3.MushyLayerwithaMagneticField

3.1.SolutionProcedure

3.2.HigherOrderSystems

3.2.1.LinearSystem

3.2.2.AdjointSystem

3.2.3.FirstOrderSystem

3.2.4.SecondOrderSystem

3.3.LandauEquationforMagneticCase

3.4.NumericalResultsforMagneticCase

4.Conclusion

Acknowledgment

References

INDEX.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-62417-351-9

OCLC:

923665312