Thin plates and shells: theory, analysis, and applications

Theodor Krauthammer, Eduard Ventsel0824705750, 9780824705756, 9780585419008

Presents the most recent principles of thin plate and shell theories, emphasizing novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, and new theories for the design and analysis of thin plate shell structures.

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Table of contents :
1
Introduction……Page 6
2
The Fundamentals Of The SmallDe.ection P Late Bending Theory……Page 22
3
Rectangular Plates……Page 48
4
Circular Plates……Page 100
5
Bending Of Plates Of Various Shapes……Page 138
6
Plate Bending By Approximate And Numerical Methods……Page 148
7
Advanced Topics……Page 196
8
Buckling Of Plates……Page 246
9
The Vibration Of Plates……Page 280
10
Introduction To The General Shell Theory……Page 296
11
Geometry Of The Middle Surface……Page 308
12
The General Linear Theory Of Shells……Page 330
13
The Membrane Theory Of Shells……Page 354
14
Application Of The Membrane Theory To The Analysis Of Shell Structures……Page 378
15
Moment Theory Of Circular Cylindrical Shells……Page 416
16
The Moment Theory Of Shells Of Revolution……Page 454
17
Approximate Theories Of Shell Analysis And Their Applications……Page 488
18
Advanced Topics……Page 520
19
Buckling Of Shells……Page 570
20
Vibrations Of Shells……Page 614
Appendix A:
Some Reference Data……Page 634
Appendix B:
Fourier Series Expansion……Page 640
Appendix C: Verifi
cation Of Relations Of The Theory Of Surfaces……Page 646
Appendix D:
Derivation Of The Strain–displacement Relations……Page 656
Appendix E: Verifi
cation Of Equilibrium Equations……Page 660
Index……Page 664