Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering applications. It includes computer processes for finite difference, finite element, boundary element, and boundary collocation methods as well as other variational and numerical methods. It also contains end-of-chapter examples and problem/solution sets, a catalog of solutions for cylindrical and spherical shells, and tables of the most commonly used plates and shells.
Author(s): Eduard Ventsel, Theodor Krauthammer,
Edition: 1st
Year: 2001
Language: English
Pages: 688
Preface......Page 5
Contents......Page 9
Introduction......Page 15
The Fundamentals of the Small- Deflection P late Bending Theory......Page 31
Rectangular Plates......Page 57
Circular Plates......Page 109
Bending of Plates of Various Shapes......Page 147
Plate Bending by Approximate and Numerical Methods......Page 157
Advanced Topics......Page 205
Buckling of Plates......Page 255
The Vibration of Plates......Page 289
Introduction to the General Shell Theory......Page 305
Geometry of the Middle Surface......Page 317
The General Linear Theory of Shells......Page 339
The Membrane Theory of Shells......Page 363
Application of the Membrane Theory to the Analysis of Shell Structures......Page 387
Moment Theory of Circular Cylindrical Shells......Page 425
The Moment Theory of Shells of Revolution......Page 463
Approximate Theories of Shell Analysis and Their Applications......Page 497
Advanced Topics......Page 529
Buckling of Shells......Page 579
Vibrations of Shells......Page 623
Appendix A......Page 643
Appendix B......Page 649
Appendix C......Page 655
Appendix D......Page 665
Appendix E......Page 669
Index......Page 673
