Asymptotic methods in the theory of plates with mixed boundary conditions /

• Κύριος συγγραφέας: Andrianov, I. V. (Igorʹ Vasilʹevich), 1948-
• Άλλοι συγγραφείς: Awrejcewicz, J. (Jan), Danishevskiĭ, V. V. (Vladislav Valentinovich), Ivankov, Andrey
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Chichester, West Sussex, United Kingdom : John Wiley & Sons, Ltd., 2014.
• Θέματα: Plates (Engineering) > Mathematical models.; Asymptotic expansions.; Finite element method.; Plates (Engineering); TECHNOLOGY & ENGINEERING > Civil > General.; Electronic books.

 This book covers the theoretical background of asymptotic approaches and their use in solving mechanical engineering-oriented problems of structural members, primarily plates (statics and dynamics) with mixed boundary conditions. Key features: Includes analytical solving of mixed boundary value problems; Introduces modern asymptotic and summation procedures; Presents asymptotic approaches for nonlinear dynamics of rods, beams and plates; Covers statics, dynamics and stability of plates with mixed boundary conditions; Explains links between the Adomian and homotopy perturbation approaches. This is a comprehensive reference for researchers and practitioners working in the field of Mechanics of Solids and Mechanical Engineering, and is also a valuable resource for graduate and postgraduate students from Civil and Mechanical Engineering. --   Edited summary from book. 

 Cover; Title Page; Copyright; Contents; Preface; List of Abbreviations; Chapter 1 Asymptotic Approaches; 1.1 Asymptotic Series and Approximations; 1.1.1 Asymptotic Series; 1.1.2 Asymptotic Symbols and Nomenclatures; 1.2 Some Nonstandard Perturbation Procedures; 1.2.1 Choice of Small Parameters; 1.2.2 Homotopy Perturbation Method; 1.2.3 Method of Small Delta; 1.2.4 Method of Large Delta; 1.2.5 Application of Distributions; 1.3 Summation of Asymptotic Series; 1.3.1 Analysis of Power Series; 1.3.2 Padé Approximants and Continued Fractions; 1.4 Some Applications of PA.