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  • Book
  • © 1990

Computational Tensor Analysis of Shell Structures

Authors:

  1. Steve Naomis
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    You can also search for this author in PubMed   Google Scholar

  2. Paul C. M. Lau

    1. Civil Engineering Department, University of Western Australia, Nedlands, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Engineering (LNENG, volume 58)

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Table of contents (6 chapters)

  1. Front Matter

    Pages N1-XII
    PDF

  2. Introduction

    • Steve Naomis, Paul C. M. Lau
    Pages 1-8

  3. General Theory

    • Steve Naomis, Paul C. M. Lau
    Pages 9-59

  4. Numerical Fundamentals

    • Steve Naomis, Paul C. M. Lau
    Pages 60-100

  5. Numerical Implementation

    • Steve Naomis, Paul C. M. Lau
    Pages 101-156

  6. Numerical Applications

    • Steve Naomis, Paul C. M. Lau
    Pages 157-181

  7. Summary

    • Steve Naomis, Paul C. M. Lau
    Pages 182-183

  8. Back Matter

    Pages 184-304
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About this book

This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes.
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Keywords

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Authors and Affiliations

  • Civil Engineering Department, University of Western Australia, Nedlands, Australia

    Paul C. M. Lau

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Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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