Nonlinear Analysis of Structures (1997) /
"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 vehic...
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| Format: | eBook |
| Language: | English |
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Boca Raton, FL :
CRC Press,
2017.
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| Edition: | First edition. |
| Series: | CRC Press Revivals
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book Connect to the full text of this electronic book Connect to the full text of this electronic book |
Table of 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.