Cheung / Neal Finite Strip Method in Structural Analysis

1. Auflage 2013
ISBN: 978-1-4832-7854-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 244 Seiten, Web PDF

Finite Strip Method in Structural Analysis is a concise introduction to the theory of the finite strip method and its application to structural engineering, with special reference to practical structures such as slab bridges and box girder bridges. Topics covered include the bending of plates and plate-beam systems, with application to slab-beam bridges; plane stress analysis; vibration and stability of plates and shells; and finite layer and finite prism methods. Comprised of eight chapters, this book begins with an overview of the theory of the finite strip method, highlighting the importance of the choice of suitable displacement functions for a strip as well as the formulation of strip characteristics. Subsequent chapters consider many different types of finite strips for plate and shell problems and present numerical examples. The extension of the finite strip method to three-dimensional problems is then described, with emphasis on the finite layer method and the finite prism method. The final chapter discusses some computer methods that are commonly used in structural analysis. A folded plate computer program is included for completeness, and a detailed description for a worked problem is also presented for the sake of clarity. This monograph will be of interest to civil and structural engineers.

Autoren/Hrsg.

Cheung, Y. K.

Neal, B. G.

Inhaltsverzeichnis

1;Front Cover;1
2;Finite Strip Method in Structural Analysis;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface;8
6;Nomenclature;10
7;Chapter 1. Finite Strip Method;12
7.1;1.1. Introduction;12
7.2;1.2. Choice of displacement functions;16
7.3;1.3. Available displacement functions;19
7.4;1.4. Formulation of strip characteristics through minimum total potential energy principle;29
7.5;References;35
8;Chapter 2. Bending of Plates and Plate-Beam Systems with Application to Slab-Beam Bridges;36
8.1;2.1. Introduction;36
8.2;2.2. Rectangular plate strip;37
8.3;2.3. Curved plate strip;49
8.4;2.4. Skewed plate strip simply supported at two opposite sides;57
8.5;2.5. Stiffness matrix of a beam in bending and torsion;58
8.6;2.6. Numerical examples;60
8.7;2.7. Application to slab bridges;64
8.8;References;75
9;Chapter 3. Plane Stress Analysis;78
9.1;3.1. Introduction;78
9.2;3.2. Rectangular plane stress strip;81
9.3;3.3. Curved strip;90
9.4;3.4. Numerical examples;92
9.5;References;97
10;Chapter 4. Analysis of Folded Plate Structures with Special Reference to Box Girder Bridges;98
10.1;4.1. Introduction;98
10.2;4.2. Formulation of stiffness matrix;99
10.3;4.3. Transformation of coordinates;108
10.4;4.4. Applications to folded plate structures;110
10.5;4.5. Application to box girder bridges;113
10.6;References;127
11;Chapter 5. Vibration and Stability of Plates and Shells;129
11.1;5.1. Matrix theory of free vibrations;129
11.2;5.2. Derivation of consistent mass matrix of a strip;131
11.3;5.3. Consistent mass matrices of plate strips in bending;132
11.4;5.4. Consistent mass matrices for plane stress plate strips;139
11.5;5.5. Comprehensive mass matrix for flat shell strips;142
11.6;5.6. Vibration of thin-walled structures;142
11.7;5.7. Cylindrical shell strip;143
11.8;5.8. Numerical examples;148
11.9;5.9. Special application to dynamic analysis of bridges;155
11.10;5.10. Stability analysis of stiffened plate structures;158
11.11;References;162
12;Chapter 6. Further Developments in Finite Strip Analysis;165
12.1;6.1. Introduction;165
12.2;6.2. Free vibration of partially clamped plates using a "mixed" strip;165
12.3;6.3. Prismatic plate and shell structure with flexible end supports;171
12.4;6.4. Bending and vibration of multi-layer sandwich plates;175
12.5;References;186
13;Chapter 7. Finite Layer Method and Finite Prism Method;188
13.1;7.1. Introduction;188
13.2;7.2. Finite layer method;190
13.3;7.3. Finite prism method;203
13.4;References;213
14;Chapter 8. Computation Methods and Computer Program;214
14.1;8.1. Introduction;214
14.2;8.2. Data preparation;215
14.3;8.3. Individual stiffness matrix and transformation matrix;216
14.4;8.4. Assemblage of stiffness matrices;218
14.5;8.5. Introduction of prescribed displacements;222
14.6;5.6. Solution of simultaneous equations;223
14.7;8.7. Calculation of internal forces;227
14.8;8.8. Eigenvalue solution;229
14.9;8.9. Folded plate computer program;229
15;Author Index;244
16;Subject Index;246