THEORIES AND APPLICATIONS OF PLATE ANALYSIS: CLASSICAL NUMERICAL AND ENGINEERING METHODS

Plates are considered to be any essentially flat, two-dimensional structural component such as a floor slab, a flat roof, the steel plates on a ship or aircraft or any flat support or connection to other structural elements such as columns, beams, walls and so on. The Analysis of a plate entails studying how the combined effects of various forces and weights (Loads) affect the overall behavior and performance of a particular kind of plate of specific dimensions, materials, strengths and geometric configuration. Those forces and loads, in turn, are usually divided be-tween fixed, constant forces (static) and moving or continuously changing forces (dynamic). In analyzing any such forces a variety of mathematical tools have been developed, as well as a variety of engineering laboratory testing techniques.Table of Contents:Preface Principal Notations and Graphical Symbols Units Introduction Historical Background Plate Theories and Analytical Solutions of Static, Linear-Elastic Plate Problems Elastic Plate Theories and Their Governing Differential Equations Exact and Series Solutions of the Governing Differential Equations Further Plate Problems and Their Classical Solutions Energy Methods for Solution of Lateral Deflections Numerical Methods for Solutions of Static, Linear-Elastic Plate Problems Finite Differences Methods Gridwork and Framework Methods The Finite Element Method Classical Finite Strip Method The Boundary Element Method Advanced Topics Linear Considerations Nonlinear Aspects Engineering Solution Procedures Practical Design Methods Yield-Line Method Dynamic Analysis of Elastic Plates Classical and Energy Methods in Dynamic Analysis Numerical Methods in Plate Dynamics Buckling of Plates Fundamentals of Stability Analysis Appendix