The finite element, an approximation method for solving differential equations of mathematical physics, is a highly effective technique in the analysis and design, or synthesis, of structural dynamic systems. Starting from the system differential equations and its boundary conditions, what is referred to as a weak form of the problem (elaborated in the text) is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors as well as to identify primary and secondary boundaries and all possible boundary conditions. Specific equilibrium problems are also solved.
This book clearly reveals the effectiveness and great significance of the finite element method available and the essential role it will play in the future as further development occurs.
Series Description and Motivation vii Series Preface ix Preface xi Finite Element Techniques for Nonlinear Postbuckling and Collapse of Elastic Structures 1(96) Norman F. Knight, Jr. Boundary Element Methods in Structural Dynamic System Problems 97(52) Stavros Syngellakis Newton-Raphson Techniques in Finite Element Methods for Nonlinear Structural Problems 149(96) Chang-New Chen The Nonlinear Stress Analysis of Metallic and Reinforced Concrete Structures 245(38) A. Ranjbaran Co-Rotational Formulation for Nonlinear Dynamic Analysis of Beam Structures 283 Kuo Mo Hsiao
Cornelius T. Leondes (Emeritus Professor, University of California, USA)
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