Analysis of Geometrically Nonlinear Structures

Overview

This book provides a simple extension of the methods of linear structural analysis to the case of geometrically nonlinear effects. Its importance derives from the theorem stating that "in the presence of pre stress, geometrically nonlinear effects are of the same order as linear elastic effects". It is the precursor of efforts to include nonlinear effects in elementary discussions of structural analysis.
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Overview

This book provides a simple extension of the methods of linear structural analysis to the case of geometrically nonlinear effects. Its importance derives from the theorem stating that "in the presence of pre stress, geometrically nonlinear effects are of the same order as linear elastic effects". It is the precursor of efforts to include nonlinear effects in elementary discussions of structural analysis.
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Product Details

  • ISBN-13: 9789048164387
  • Publisher: Springer Netherlands
  • Publication date: 12/3/2010
  • Edition description: Softcover reprint of hardcover 2nd ed. 2004
  • Edition number: 2
  • Pages: 272
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.61 (d)

Table of Contents

Book Contents.- 1 Overview.- 2 Linear Structural Analysis.- 3 “Exact” Analysis of Trusses.- 4 Nonlinear Analysis of Plane Frames.- 5 Nonlinear Analysis of Space Frames.- 6 Nonlinear Analysis of Membranes.- 7 Cablenets and Fabric Structures.- 8 Three-Dimensional Beam-Columns.- 9 Nonlinear Analysis of Shells.- References.- Appendix 1 Member Stiffness When Beam-Column Effects are Included.- Appendix 2 Determinants.- Appendix 3 The Rotation Matrix.- Appendix 4 Perturbation Methods Applied to Plane Beams.- Appendix 5 Introduction to Computer Programs.- A5.1 Introduction.- A5.2 Space Trusses.- A5.3 Plane Frames.- A5.4 Listing for TR3D.FOR.- A5.5 Listing for FR2D.FOR.- Appendix 6 Graphics on a PC.- A6.1 Introduction.- A6.2 Plotting in 2-D.- A6.3 Drawing Lines in 2-D.

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