Nonlinear Analysis of Structures (1997)

ISBN-13: 9781138105881 / Angielski / Twarda / 2017 / 640 str.

Muthukrishnan Sathyamoorthy

Opis

This book provides comprehensive treatment of the nonlinear behavior of various types of structural elements such as beams, frames, trusses, mechanisms, plates, shells, and sandwich and composite structural elements. Information is included on the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. The author has designed the book to strike a good balance between the mathematical and applied side of the topic. Many applications, examples, and problems are presented in the text.

Spis treści

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

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Muthukrishnan Sathyamoorthy