Computational Tensor Analysis of Shell Structures

Computational Tensor Analysis of Shell Structures by Steve Naomis, Paul C.M. Lau.

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 c...

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Bibliographic Details
Main Authors: Naomis, Steve (Author), Lau, Paul C.M (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990.
Edition:1st ed. 1990.
Series:Lecture Notes in Engineering, 58
Springer eBook Collection.
Subjects:
Building—Superintendence.
Construction industry—Management.
Construction superintendence.
Buildings—Design and construction.
Building.
Construction.
Engineering, Architectural.
Aerospace engineering.
Astronautics.
Automotive engineering.
Chemometrics.
Computational intelligence.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Introduction
  • 2. General Theory
  • 2.1 A Summary of the Tensorial Quantities Required in the Formulation of a Shell Theory
  • 2.2 Surface Geometry
  • 2.3 The Strain Tensor
  • 2.4 The Stress Tensor
  • 2.5 The Constitutive Equations
  • 2.6 The Theory of Shells
  • 3. Numerical Fundamentals
  • 3.1 The Curvilinear Finite Difference Method
  • 3.2 The Numerical Computation of the Surface Geometric Quantities
  • 3.3 The Principle of Virtual Displacements
  • 3.4 Discretization and Displacement Fields
  • 3.5 The Numerical Implementation of the General Surface Stress, Strain and Displacement Components
  • 3.6 Boundary Conditions
  • 3.7 The Numerical Solution of the Eigenvalue Problem
  • 4. Numerical Implementation
  • 4.1 A Second Order Implementation
  • 4.2 A Third Order Implementation
  • 5. Numerical Applications
  • 5.1 Simply Supported Plate
  • 5.2 Cantilever Plate
  • 5.3 Spherical Cap on a Square Base
  • 5.4 Cylindrical Panel
  • 5.5 Curved Fan Blade
  • 5.6 Conical Shell Panel
  • 5.7 Cylindrical Tank
  • 6. Summary
  • References
  • Appendix A: Displacement Transformations
  • Appendix B: Finite Difference Expressions
  • Appendix C: Numerical Integration of the Stiffness Matrix
  • Appendix D: Application of the CFD method to the Analysis of Beam Bending Problems with Fixed Edges
  • Appendix E: Transformation of the Generalized Eigenvalue Problem to Standard Form
  • Appendix F: Numerical Results
  • Simply supported plate
  • Cantilever plate
  • Curved fan blade
  • Spherical shell
  • Cylindrical panel
  • Cylindrical tank
  • Conoidal shell.

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