Thin plates and shells: theory, analysis, and applications [1st ed.] 0824705750, 9780824705756, 9780585419008
Presents the most recent principles of thin plate and shell theories, emphasizing novel analytical and numerical methods
247 105 118KB
English Pages 672 Year 2001
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
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
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