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Nonlinear Analysis of Structures (1997)

Author: Muthukrishnan Sathyamoorthy
Publisher: Boca Raton, FL : CRC Press, 2017.
Series: CRC Press Revivals
Edition/Format:   eBook : Document : English : First editionView all editions and formats
Summary:
"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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Muthukrishnan Sathyamoorthy
ISBN: 9780203711255 0203711254 9781351359825 1351359827 9781351359818 1351359819 9781351359801 1351359800
OCLC Number: 1014359231
Description: 1 online resource : text file, PDF
Contents: Cover; Half Title; Title Page; Copyright Page; Contents; Foreword; Preface; Chapter 1 Nonlinear Bending and Vibration of Beams; 1.1 Introduction; 1.2 Types of Nonlinearities; Geometric Nonlinearity; Material Nonlinearity; 1.3 Nonlinear Governing Equations for Beams; Moment-Curvature Nonlinearity; Geometric Nonlinearity Due to Stretching; Material Nonlinearity; 1.4 Methods of Solution; 1.5 Geometrically Nonlinear Beam Problems; Moment-Curvature Nonlinearity-Cantilever Beam; Centrally Loaded Beam with Two Supports; Cantilever Beam Subjected to Tip Load. Clamped-Clamped Beam with a Central Concentrated LoadSimply Supported Beam Under Uniformly Distributed Load; Cantilever Beam Subjected to a Distributed Loading; Nonlinearity Due to Stretching; Clamped-Clamped Beam with Immovable End; Beams with Hinged Ends; 1.6 Vibrations of Beams with Various Boundary Conditions; Curvature-Displacement Nonlinearity-Beams with Hinged Ends; Cantilever Beam; Nonlinearity Due to Stretching-Beams with Hinged Ends; Clamped-Clamped Beam; Assumed-Time-Mode Approximation; Assumed-Space-Mode Approximation; Ritz-Galerkin Approximation; 1.7 Forced Vibrations of Beams. Hinged BeamsMultiple Mode Solution for Hinged Beams; Beams with Clamped Ends; 1.8 Postbuckling-Cantilever Columns; 1.9 Behavior of Beams with Material Nonlinearity; Cantilever Beam-Elastic Plastic Material; Nonlinearity of Ludwick Type; Ramberg-Osgood Type Nonlinearity; Vibration Problems; Summary; Problems; References and Bibliography; Chapter 2 Nonlinear Static and Dynamic Analysis of Plates; 2.1 Introduction; 2.2 Geometric and Material Nonlinearities; Geometric Nonlinearity; Material Nonlinearity; 2.3 Governing Nonlinear Equations for Plates; Stress Function Approach. Displacement Equations ApproachBerger Approach; 2.4 Boundary Conditions and Methods of Solution; Boundary Conditions; Methods of Solution; 2.5 Large Deflections of Rectangular Plates; 2.6 Large Deflection Analysis of Nonrectangular Plates; Moderately Thick Plates; Movable Edges; Immovable Edges; 2.7 Free and Forced Vibration of Rectangular Plates; Large Amplitude Free Vibration; Large Amplitude Forced Vibration; 2.8 Free and Forced Vibration of Nonrectangular Plates; Orthotropic Skew Plates; Orthotropic Elliptical Plates; Orthotropic Triangular Plates. Free and Forced Vibrations of Circular PlatesEquations in Terms of Displacements u°, v°, and w; Equations in Terms of Stress Function F and Lateral Displacement w; 2.9 Multiple Mode Solution to Free Vibration of Plates; Orthotropic Elliptical Plate; 2.10 Postbuckling Behavior of Plates; Orthotropic Skew Plates; 2.11 Effects of Transverse Shear Deformation and Material Nonlinearity; Moderately Thick Skew Plates; Rectilinearly Orthotropic Moderately Thick Elliptical Plates., ; Large Deflection of Plates with Material Nonlinearity; Summary; Problems; Appendix A; References and Bibliography.
Series Title: CRC Press Revivals
Responsibility: by Muthukrishnan Sathyamoorthy.

Abstract:

"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."--Provided by publisher.

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