Asymptotical Mechanics of Thin-Walled Structures

1. Front Matter

   Pages N1-18

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2. Asymptotic Approximations

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 19-45

3. Regular Perturbations of Parameters

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 47-116

4. Singular Perturbation Problems

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 117-156

5. Boundary Value Problems of Isotropic Cylindrical Shells

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 157-167

6. Boundary Value Problems — Orthotropic Shells

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 169-199

7. Composite Boundary Value Problems — Isotropic Shells

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 201-222

8. Composite Boundary Value Problems — Orthotropic Shells

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 223-240

9. Averaging

   • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

   Pages 241-258

10. Continualization

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 259-266

11. Homogenization

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 267-331

12. Intermediate Asymptotics — Dynamical Edge Effect Method

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 333-362

13. Localization

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 363-376

14. Improvement of Perturbation Series

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 377-416

15. Matching of Limiting Asymptotic Expansions

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 417-433

16. Complex Variables in Nonlinear Dynamics

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 435-462

17. Other Asymptotical Approaches

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 463-481

18. Afterword

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch

    Pages 483-487

19. Back Matter

    Pages 489-535

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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 their 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.

• Asymptotic Integration
• Composite Equations
• Plates
• asymptotic methods
• mechanics
• nonlinear dynamics
• shells
• singular perturbation

• Köln, Germany

  I. Andrianov

• Pridneprovskaya State Academy of Civil Engineering and Architecture, Dnepropetrovk, Ukraine

  I. Andrianov

• Dept. of Automatics and Biomechanics, Technical University Lodz, Lodz, Poland

  J. Awrejcewicz

• N. N. Semenov Institute of Chemical Physics RAS, Moscow, Russian Federation

  L. I. Manevitch

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