Ebook: Asymptotical Mechanics of Thin-Walled Structures
- Tags: Structural Mechanics, Vibration Dynamical Systems Control, Engineering Thermodynamics Heat and Mass Transfer, Analysis, Classical Continuum Physics, Statistical Physics Dynamical Systems and Complexity
- Series: Foundations of Engineering Mechanics
- Year: 2004
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and its applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and its applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and its applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.
Content:
Front Matter....Pages N1-18
Asymptotic Approximations....Pages 19-45
Regular Perturbations of Parameters....Pages 47-116
Singular Perturbation Problems....Pages 117-156
Boundary Value Problems of Isotropic Cylindrical Shells....Pages 157-167
Boundary Value Problems — Orthotropic Shells....Pages 169-199
Composite Boundary Value Problems — Isotropic Shells....Pages 201-222
Composite Boundary Value Problems — Orthotropic Shells....Pages 223-240
Averaging....Pages 241-258
Continualization....Pages 259-266
Homogenization....Pages 267-331
Intermediate Asymptotics — Dynamical Edge Effect Method....Pages 333-362
Localization....Pages 363-376
Improvement of Perturbation Series....Pages 377-416
Matching of Limiting Asymptotic Expansions....Pages 417-433
Complex Variables in Nonlinear Dynamics....Pages 435-462
Other Asymptotical Approaches....Pages 463-481
Afterword....Pages 483-487
Back Matter....Pages 489-535
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and its applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.
Content:
Front Matter....Pages N1-18
Asymptotic Approximations....Pages 19-45
Regular Perturbations of Parameters....Pages 47-116
Singular Perturbation Problems....Pages 117-156
Boundary Value Problems of Isotropic Cylindrical Shells....Pages 157-167
Boundary Value Problems — Orthotropic Shells....Pages 169-199
Composite Boundary Value Problems — Isotropic Shells....Pages 201-222
Composite Boundary Value Problems — Orthotropic Shells....Pages 223-240
Averaging....Pages 241-258
Continualization....Pages 259-266
Homogenization....Pages 267-331
Intermediate Asymptotics — Dynamical Edge Effect Method....Pages 333-362
Localization....Pages 363-376
Improvement of Perturbation Series....Pages 377-416
Matching of Limiting Asymptotic Expansions....Pages 417-433
Complex Variables in Nonlinear Dynamics....Pages 435-462
Other Asymptotical Approaches....Pages 463-481
Afterword....Pages 483-487
Back Matter....Pages 489-535
....