Allen / Neal Analysis and Design of Structural Sandwich Panels

The Commonwealth and International Library: Structures and Solid Body Mechanics Division
1. Auflage 2013
ISBN: 978-1-4831-5904-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 300 Seiten, Web PDF

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.

Autoren/Hrsg.

Allen, Howard G.

Neal, B. G.

Inhaltsverzeichnis

1;Front Cover;2
2;Analysis and Design of Structural Sandwich Panels;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;10
6;LIST OF PRINCIPAL SYMBOLS AND DEFINITIONS;13
7;Chapter 1. Introduction;18
8;Chapter 2. Sandwich Beams;25
8.1;2.1. Sandwich Beams: Application of Ordinary Beam Theory;25
8.2;2.2. Sign Convention for Bending of Beams;31
8.3;2.3. Deflection of a Simply-supported Sandwich Beam withAntiplane Core and Thin Faces (Symmetrical Load;32
8.4;2.4. Deflection of a Simply-supported Sandwich Beam withAntiplane Core and Thin Faces ( Unsymmetrical Load;36
8.5;2.5. Deflections and Stresses in a Sandwich Beam with AntiplaneCore and Thick Faces;38
8.6;2.6. Simply-supported Beam with Central Point Load W ( AntiplaneCore and Thick Faces);42
8.7;2.7. Simply-supported Beam with Uniformly Distributed Load( Antiplane Core and Thick Faces;50
8.8;2.8. Beam with Four-point Loading (Antiplane Core and ThickFaces);53
8.9;2.9. Sandwich Beams with Faces of Unequal Thickness (AntiplaneCore);58
8.10;2.10. Sandwich Beams in which the Modulus of Elasticity of theCore Parallel with the Axis is not Small (Faces of EqualThickness;60
8.11;2.11. Wide and Narrow Beams;63
9;Chapter 3. Buckling of Sandwich Struts;65
9.1;3.1. Buckling of Pin-ended Sandwich Strut with Antiplane Coreand Thin Faces;65
9.2;3.2. Buckling of Pin-ended Sandwich Strut with Antiplane Coreand Thick Faces;67
9.3;3.3. Further Consideration of Buckling (Antiplane Core, ThickFaces);70
9.4;3.4. Wrinkling Instability;73
10;Chapter 4. Analysis of Sandwich Beams and Struts by Strain Energy Methods;74
10.1;4.1. Introduction, Notation, Assumptions;74
10.2;4.2. Displacements and Strains;76
10.3;4.3. Strain Energy;78
10.4;4.4. Simply-supported Beam-column with Sinusoidal TransverseLoad;82
10.5;4.5. Evaluation of Stresses due to Combined End-load andSinusoidal Transverse Load;85
10.6;4.6. Deflections and Stresses due to Non-sinusoidal TransverseLoads;88
11;Chapter 5. Bending and Buckling of Isotropic Sandwich Panels withVery Thin Identical Faces (Ritz Method);93
11.1;5.1. Introduction;93
11.2;5.2. Displacements and Strains;95
11.3;5.3. Strain Energy;97
11.4;5.4. Plate with Isotropic Faces and Core;100
11.5;5.5. Other Types of Simply-supported Sandwich Plate;112
11.6;5.6. Boundary Conditions for a Simply-supported Panel;114
12;Chapter 6. Bending and Buckling of Ortho tropic Sandwich Panels withThick Dissimilar Faces (Ritz Method);116
12.1;6.1. Introduction;116
12.2;6.2. Displacements and Strains;117
12.3;6.3. Strain Energy;121
12.4;6.4. Potential Energy of Applied Forces;124
12.5;6.5. Minimization of Total Energy;124
12.6;6.6. Procedure in Particular Cases;131
12.7;6.7. Simply-supported Sandwich Plate with Identical IsotropicThick Faces and "Isotropic" Core;133
13;Chapter 7. Bending and Buckling of Orthotropic Sandwich Panels withThin Faces; Alternative Solution Based on DifferentialEquations of Sandwich Pane;143
13.1;7.1. Introduction;143
13.2;7.2. Notation, Assumptions and Basic Equations;144
13.3;7.3. General Differential Equations;148
13.4;7.4. Simplified Form of Differential Equations;150
13.5;7.5. Core Shear Strains and the Effect of Face Thickness;152
13.6;7.6. Evaluation of the Stiffnesses Dx, DQx, etc;154
13.7;7.7. Solution for Simply-supported Orthotropic Panel with EdgeLoads and Sinusoidal Transverse Load;156
13.8;7.8. Buckling of Simply-supported Orthotropic Panel;160
13.9;7.9. Solution for Simply-supported Orthotropic Panel with EdgeLoads and Uniform Transverse Load;164
14;Chapter 8. Wrinkling and Other Forms of Local Instability;173
14.1;8.1. Introduction;173
14.2;8.2. Long Strut Supported by a Continuous Elastic - IsotropicMedium;174
14.3;8.3. Wrinkling of Faces of Sandwiches with Isotropic Coresof Finite Thickness;177
14.4;8.4. Behaviour of the Core during Wrinkling;184
14.5;8.5. The Winkler Hypothesis;186
14.6;8.6. Stability of Faces Attached to Antiplane Core with InfiniteStiffness Perpendicular to the Faces;188
14.7;8.7. Initial Irregularities of the Faces;190
14.8;8.8. Some Special Observations on Wrinkling Behaviour;195
14.9;8.9. Local Instability of the Elements of a Sandwich, other thanWrinkling;196
14.10;8.10. Interaction of Wrinkling and Overall Instability;198
15;Chapter 9. The Development of the Theory of Sandwich Panels;207
15.1;9.1. Historical Development of Sandwich Theory;207
15.2;9.2. Comparison of Some Common Notations;217
15.3;9.3. Boundary Conditions;224
15.4;9.4. Panels with Edges which are not Simply-supported;225
15.5;9.5. Shear and Other Edge-wise Loads;228
15.6;9.6. Large Deflections;229
15.7;9.7. Initial Deformations;230
16;Chapter 10. Formulae for Analysis;234
16.1;10.1. Assumptions and Approximations;234
16.2;10.2. Sandwich Beams;237
16.3;10.3. Sandwich Struts;238
16.4;10.4. Wrinkling;240
16.5;10.5. Buckling of Simply-supported Panels with Edge Forcesin the x-direction;243
16.6;10.6. Bending of Simply-supported Panels with Uniform TransverseLoad;246
16.7;10.7. Bending of Simply-supported Panels with Uniform TransverseLoad Combined with Edge Forces in the x-direction;249
16.8;10.8. Modifications for Faces of Unequal Thickness or DissimilarMaterials;249
16.9;10.9. Buckling and Bending of Panels with Other Types of Loador Boundary Conditions;250
17;Chapter 11. Design of Sandwich Beams, Struts and Panels;252
17.1;11.1. Introduction;252
17.2;11.2. Determination of Core Thickness;254
17.3;11.3. Optimum Design: Determination of Core and Face Thicknessfor Minimum Weight (or Cost);258
18;Chapter 12. Properties of Materials Used in Sandwich Construction:Methods of Testing;262
18.1;12.1. Face Materials;262
18.2;12.2. Core Materials and Their Properties;265
18.3;12.3. Methods of Testing Core Materials;271
18.4;12.4. Tests on Sandwich Constructions;274
19;Appendix I. Properties of Isotropic and Ortho tropic ElasticSolids;281
20;Appendix II. Differential Equation for a Sandwich Beamcolumn;285
21;REFERENCES;288
22;INDEX;298