Overview

The authors describe methods of static and free vibration analyses of thin shell structures. The contents include: development of a thin shell theory, use of curvilinear mesh and finite differences to approximate the geometry and deformation characteristics of thin shells, development of formulae for transformation of components and equations in global and local co-ordinate systems, assessment of the accuracy of various approximations for displacement components and area integrations, computing issues of Eigen solutions and the presentation of numerical values of normalized mode shapes of example shell structures. The text is designed for both engineers and researchers who work on the static and dynamic analyses of shell structures. It assumes familiarity with tensor calculus and the finite difference method.

Full Product Details

Author:   Steve Naomis ,  Paul C.M. Lau
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1990
Volume:   58
Dimensions:   Width: 17.00cm , Height: 1.70cm , Length: 24.20cm
Weight:   0.590kg
ISBN:  

9783540528524

ISBN 10:   3540528520
Pages:   309
Publication Date:   07 August 1990
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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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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