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Spectral Analysis of Nonlinear Elastic Shapes

  • Book
  • © 2020

Overview

Authors:
  1. James F. Doyle

    1. School of Aeronautics & Astronautics, Purdue University, West Lafayette, USA

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  • Presents an innovative way of tackling nonlinear elastic stability problems with many new results and insights presented
  • Adopts a thoroughly modern, computationally based approach using finite elements as its basis as well as for its validations
  • Reinforces reader understanding with a range of practical problems encompassing arbitrary frame and shell structures
  • Develops concepts systematically starting with basic deformations of structural members followed by analysis of structures with coupled deformations, progressing seemlessly to the nonlinear analysis of structures and buckling/post-buckling behaviors

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • James F. Doyle
    Pages 1-5

  3. Overview of Shapes and Stiffness

    • James F. Doyle
    Pages 7-77

  4. Shapes with Coupled Deformations

    • James F. Doyle
    Pages 79-183

  5. Nonlinear Elastic Shapes

    • James F. Doyle
    Pages 185-265

  6. Buckling Shapes

    • James F. Doyle
    Pages 267-354

  7. Studies of Postbuckled Shapes

    • James F. Doyle
    Pages 355-406

  8. Back Matter

    Pages 407-409
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Keywords

About this book

This book concerns the elastic stability of thin-walled structures — one of the most challenging problems facing structural engineers because of its high degree of nonlinearity — and introduces the innovative approach of using spectral analysis of the shapes and the stiffness to gain insights into the nonlinear deformations. The methodology greatly facilitates correlating the shape changes with the stiffness changes. Professor Doyle also develops specific computer procedures that complement finite element methods so that the ideas and methods are applicable to general structural problems. Basic validity of the procedures is established using key archetypal problems from buckling/post-buckling of columns, arches, curved plates, and cylindrical shells, all worked out in significant detail. The book is ideal for a wide variety of structural engineers, particularly those in aerospace and civil fields. Researchers in computational mechanics also find a rich source of new ideas for post-processing data from nonlinear analyses.

Authors and Affiliations

  • School of Aeronautics & Astronautics, Purdue University, West Lafayette, USA

    James F. Doyle

About the author

James F. Doyle is a professor of Aeronautics and Astronautics at Purdue University. He received a Dip. Eng, from DIT, Ireland; M.Sc. from University of Saskatchewan., Canada; and PhD, from U. Illinois, USA. His main areas of research is experimental and computational mechanics, Wave propagation, and nonlinear structural dynamics; special emphasis is placed on solving inverse problems. He has published a number of book on these topics. Professor Doyle is a dedicated teacher and pedagogical innovator. He is a recipient of the Frocht Award for Teaching and the Hetenyi Award for Research, both from the Society for Experimental Mechanics. He is a Fellow of the Society for Experimental Mechanics.

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