Nonlinear Analysis of Structures (1997)

✍ Scribed by Muthukrishnan Sathyamoorthy (Author)

• Publisher: CRC Press
• Year: 1998
• Leaves: 640
• Edition: 1
• Category: Library

✦ Synopsis

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today`s engineers and designers must understand these elements and their behavior when they are subjected to various types of loads.

Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation.

Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists.

One of the world`s leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.

✦ Table of Contents

Nonlinear Bending and Vibration of Beams

Introduction

Types of Nonlinearities

Nonlinear Governing Equations for Beams

Methods of Solution

Geometrically Nonlinear Beam Problems

Vibration of Beams with Various Boundary Conditions

Forced Vibrations of Beams

Postbuckling-Cantilever Columns

Behavior of Beams with Material Nonlinearity

Nonlinear Static and Dynamic Analysis of Plates

Introduction

Geometric and Material Nonlinearities

Governing Nonlinear Equations for Plates

Boundary Conditions and Methods of Solution

Large Deflections of Rectangular Plates

Large Deflection Analysis of Nonrectangular Plates

Free and Forced Vibration of Rectangular Plates

Free and Forced Vibration of Nonrectangular Plates

Multiple Mode Solution to Free Vibration of Plates

Postbuckling Behavior of Plates

Effects of Transverse Shear Deformation and Material Nonlinearity

Nonlinear Analysis of Shells

Introduction

Derivation of Governing Equations

Circular Cylindrical Shells

Shallow Spherical Shells: Large Deflections

Noncircular Cylindrical Shells

Forced Nonlinear Vibration of Shells

Postbuckling of Shells

Postbuckling and Large Amplitude Vibration - A Similarity

General Conclusions on Large Amplitude Vibrations

Structures: Nonlinear Analysis

Introduction

Curved Beams

Trusses

Frames

Mechanisms

Stiffened Structures

Sandwich Plates

Finite Element Method

Nonlinear Analysis of Structures Composed of Composite Materials

Introduction

Composite Beams - Large Deflections

Nonlinear Vibrations

Postbuckling Behavior

Composite Plates - Governing Equations

Laminated Plates - Cylindrical Bending

Laminated Plates - Large Amplitude Vibration

Postbuckling

Shells - Large Amplitude Vibration

Postbuckling of Shells

Symbolic Computation

Introduction

Examples of Linear Problems

Statically Indeterminate Beams Using MACSYMA

Truss Problem Using MACSYMA

Beam Problems Using MAPLE

Vibration of Beams Using MAPLE

Vibration of Plates Using MAPLE

Rayleigh`s Methods Using MAPLE

Rayleigh-Ritz Method Using MAPLE

Structural Analysis of Box Beams

Dynamic Analysis of Box Beams

Nonlinear Problems

Nonlinear Vibration of Beams

Books and Edited Volumes

Index

✦ Subjects

Engineering & Technology;Mathematics & Statistics for Engineers;Mathematics & Statistics;Applied Mathematics