1st Edition

Revival: Nonlinear Analysis of Structures (1997)

By Muthukrishnan Sathyamoorthy Copyright 1998
    640 Pages
    by CRC Press

    640 Pages
    by CRC Press

    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.


     

    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

    Biography

    Muthukrishnan Sathyamoorthy