Analysis and Design of Structural Sandwich Panels - 1st Edition - ISBN: 9780080128702, 9781483159041

Analysis and Design of Structural Sandwich Panels

1st Edition

The Commonwealth and International Library: Structures and Solid Body Mechanics Division

Authors: Howard G. Allen
Editors: B. G. Neal
eBook ISBN: 9781483159041
Imprint: Pergamon
Published Date: 1st January 1969
Page Count: 300
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Description

Analysis and Design of Structural Sandwich Panels serves as a simple guide to the fundamental aspects of the theory of sandwich construction and to the assumptions on which it is based. This book discusses the real importance of the assumptions made in sandwich theory concerning the relative stiffness and thickness of the faces and the core. Organized into 12 chapters, this book begins with an overview of the relatively simple problems of sandwich beams and struts. This text then discusses the bending of sandwich beams, which grows naturally from the ordinary theory of bending. Other chapters explore the bending and buckling of sandwich panels. This book discusses as well the panel analyses based on the Ritz method and on the derivation of differential equations for a sandwich plate.
This book should be of interest not only to aeronautical engineers but also to readers concerned with the design of sandwich panels in the building, plastics, and boat-building industries.

Table of Contents


Preface

List of Principal Symbols and Definitions

1. Introduction

2. Sandwich Beams

2.1. Sandwich Beams: Application of Ordinary Beam Theory

2.2. Sign Convention for Bending of Beams

2.3. Deflection of a Simply-Supported Sandwich Beam with Antiplane Core and Thin Faces (Symmetrical Load)

2.4. Deflection of a Simply-Supported Sandwich Beam with Antiplane Core and Thin Faces (Unsymmetrical Load)

2.5. Deflections and Stresses in a Sandwich Beam with Antiplane Core and Thick Faces

2.6. Simply-Supported Beam with Central Point Load W (Antiplane Core and Thick Faces)

2.7. Simply-Supported Beam with Uniformly Distributed Load ( Antiplane Core and Thick Faces)

2.8. Beam with Four-Point Loading (Antiplane Core and Thick Faces)

2.9. Sandwich Beams with Faces of Unequal Thickness (Antiplane Core)

2.10. Sandwich Beams in which the Modulus of Elasticity of the Core Parallel with the Axis is not Small (Faces of Equal Thickness)

2.11. Wide and Narrow Beams

3. Buckling of Sandwich Struts

3.1. Buckling of Pin-ended Sandwich Strut with Antiplane Core and Thin Faces

3.2. Buckling of Pin-ended Sandwich Strut with Antiplane Core and Thick Faces

3.3. Further Consideration of Buckling (Antiplane Core, Thick Faces)

3.4. Wrinkling Instability

4. Analysis of Sandwich Beams and Struts by Strain Energy Methods

4.1. Introduction, Notation, Assumptions

4.2. Displacements and Strains

4.3. Strain Energy

4.4. Simply-supported Beam-column with Sinusoidal Transverse Load

4.5. Evaluation of Stresses due to Combined End-load and Sinusoidal Transverse Load

4.6. Deflections and Stresses due to Non-sinusoidal Transverse Loads

5. Bending and Buckling of Isotropic Sandwich Panels with Very Thin Identical Faces (Ritz Method)

5.7. Introduction

5.2. Displacements and Strains

5.3. Strain Energy

5.4. Plate with Isotropic Faces and Core

5.5. Other Types of Simply-Supported Sandwich Plate

5.6. Boundary Conditions for a Simply-Supported Panel

6. Bending and Buckling of Orthotropic Sandwich Panels with Thick Dissimilar Faces (Ritz Method)

6.1. Introduction

6.2. Displacements and Strains

6.3. Strain Energy

6.4. Potential Energy of Applied Forces

6.5. Minimization of Total Energy

6.6. Procedure in Particular Cases

6.7. Simply-supported Sandwich Plate with Identical Isotropic Thick Faces and "Isotropic" Core

7. Bending and Buckling of Orthotropic Sandwich Panels with Thin Faces; Alternative Solution Based on Differential Equations of Sandwich Panel

7.7. Introduction

7.2. Notation, Assumptions and Basic Equations

7.3. General Differential Equations

7.4. Simplified Form of Differential Equations

7.5. Core Shear Strains and the Effect of Face Thickness

7.6. Evaluation of the Stiffnesses Dx, DQx, etc.

7.7. Solution for Simply-Supported Orthotropic Panel with Edge Loads and Sinusoidal Transverse Load

7.8. Buckling of Simply-Supported Orthotropic Panel

7.9. Solution for Simply-Supported Orthotropic Panel with Edge Loads and Uniform Transverse Load

8. Wrinkling and Other Forms of Local Instability

8.1. Introduction

8.2. Long Strut Supported by a Continuous Elastic - Isotropic Medium

8.3. Wrinkling of Faces of Sandwiches with Isotropic Cores of Finite Thickness

8.4. Behavior of the Core during Wrinkling

8.5. The Winkler Hypothesis

8.6. Stability of Faces Attached to Antiplane Core with Infinite Stiffness Perpendicular to the Faces

8.7. Initial Irregularities of the Faces

8.8. Some Special Observations on Wrinkling Behavior

8.9. Local Instability of the Elements of a Sandwich, other than Wrinkling

8.10. Interaction of Wrinkling and Overall Instability

9. The Development of the Theory of Sandwich Panels

9.7. Historical Development of Sandwich Theory

9.2. Comparison of Some Common Notations

9.3. Boundary Conditions

9.4. Panels with Edges which are not Simply-Supported

9.5. Shear and Other Edge-Wise Loads

9.6. Large Deflections

9.7. Initial Deformations

10. Formula for Analysis

10.1. Assumptions and Approximations

10.2. Sandwich Beams

10.3. Sandwich Struts

10.4. Wrinkling

10.5. Buckling of Simply-Supported Panels with Edge Forces in the x-Direction

10.6. Bending of Simply-Supported Panels with Uniform TransverseLoad

10.7. Bending of Simply-Supported Panels with Uniform Transverse Load Combined with Edge Forces in the x-Direction

10.8. Modifications for Faces of Unequal Thickness or Dissimilar Materials

10.9. Buckling and Bending of Panels with Other Types of Load or Boundary Conditions

11. Design of Sandwich Beams, Struts and Panels

11.1. Introduction

11.2. Determination of Core Thickness

11.3. Optimum Design: Determination of Core and Face Thickness for Minimum Weight (or Cost)

12. Properties of Materials Used in Sandwich Construction: Methods of Testing

12.1. Face Materials

12.2. Core Materials and Their Properties

12.3. Methods of Testing Core Materials

12.4. Tests on Sandwich Constructions

Appendix I . Properties of Isotropic and Orthotropic Elastic Solids

Appendix II. Differential Equation for a Sandwich Beamcolumn

References

Index


Details

No. of pages:
300
Language:
English
Copyright:
© Pergamon 1969
Published:
Imprint:
Pergamon
eBook ISBN:
9781483159041

About the Author

Howard G. Allen

About the Editor

B. G. Neal