عنوان

Asymptotic Approaches in Nonlinear Dynamics

شابک

9783642720796

شابک

9783642720819

شماره

b407518

عنوان اصلي

Asymptotic Approaches in Nonlinear Dynamics

نام عام مواد

[Book]

ساير اطلاعات عنواني

New Trends and Applications /

نام نخستين پديدآور

by Jan Awrejcewicz, Igor V. Andrianov, Leonid I. Manevitch.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg,

تاریخ نشرو بخش و غیره

1998.

عنوان فروست

Springer Series in Synergetics,

مشخصه جلد

69

شاپا ي ISSN فروست

0172-7389 ;

متن يادداشت

1. Introduction: Some General Principles of Asymptotology. -- 1.1 An Illustrative Example -- 1.2 Reducing the Dimensionality of a System -- 1.3 Continualization -- 1.4 Averaging -- 1.5 Renormalization -- 1.6 Localization -- 1.7 Linearization -- 1.8 Padé Approximants -- 1.9 Modern Computers and Asymptotic Methods -- 1.10 Asymptotic Methods and Teaching Physics -- 1.11 Problems and Perspectives -- 2. Discrete Systems -- 2.1 The Classical Perturbation Technique: an Introduction -- 2.2 Krylov-Bogolubov-Mitropolskij Method -- 2.3 Equivalent Linearization -- 2.4 Analysis of Nonconservative Nonautonomous Systems -- 2.5 Nonstationary Nonlinear Systems -- 2.6 Parametric and Self-Excited Oscillation in a Three-Degree-of-Freedom Mechanical System -- 2.7 Modified Poincaré Method -- 2.8 Hopf Bifurcation -- 2.10 Normal Modes of Nonlinear Systems with n Degrees of Freedom -- 2.11 Nontraditional Asymptotic Approaches -- 2.12 Padé Approximants -- 3. Continuous Systems -- 3.1 Continuous Approximation for a Nonlinear Chain -- 3.2 Homogenization Procedure in the Nonlinear Dynamics of Thin-Walled Structures -- 3.3 Averaging Procedure in the Nonlinear Dynamics of Thin-Walled Structures -- 3.4 Bolotin-Like Approach for Nonlinear Dynamics -- 3.5 Regular and Singular Asymptotics in the Nonlinear Dynamics of Thin-Walled Structures -- 3.6 One-Point Padé Approximants Using the Method of Boundary Condition Perturbation -- 3.7 Two-Point Padé Approximants: A Plate on Nonlinear Support -- 3.8 Solitons and Soliton-Like Approaches in the Case of Strong Nonlinearity -- 3.9 Nonlinear Analysis of Spatial Structures -- 4. Discrete-Continuous Systems -- 4.1 Periodic Oscillations of Discrete-Continuous Systems with a Time Delay -- 4.2 Simple Perturbation Technique -- 4.3 Nonlinear Behaviour of Electromechanical Systems -- General References -- Detailed References (d).

بدون عنوان

0

متن يادداشت

How well is Nature simulated by the varied asymptotic models that imaginative scientists have invented? B. Birkhoff [52J This book deals with asymptotic methods in nonlinear dynamics. For the first time a detailed and systematic treatment of new asymptotic methods in combination with the Pade approximant method is presented. Most of the basic results included in this manuscript have not been treated but just mentioned in the literature. Providing a state-of-the-art review of asymptotic applications, this book will prove useful as an introduction to the field for novices as well a reference for specialists. Asymptotic methods of solving mechanical and physical problems have been developed by many authors. For example, we can refer to the excel lent courses by A. Nayfeh [119-122]' M. Van Dyke [154], E.J. Hinch [94J and many others [59, 66, 95, 109, 126, 155, 163, 50d, 59dJ. The main features of the monograph presented are: 1) it is devoted to the basic principles of asymp totics and its applications, and 2) it deals with both traditional approaches (such as regular and singular perturbations, averaging and homogenization, perturbations of the domain and boundary shape) and less widely used, new approaches such as one- and two-point Pade approximants, the distributional approach, and the method of boundary perturbations.

شماره استاندارد بين المللي کتاب و موسيقي

9783642720819

عنوان

Springer eBooks

موضوع مستند نشده

Engineering mathematics.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mechanics, applied.

موضوع مستند نشده

Mechanics.

موضوع مستند نشده

Physics.

مستند نام اشخاص تاييد نشده

Awrejcewicz, J., (Jan)

مستند نام اشخاص تاييد نشده

Andrianov, Igor V.

مستند نام اشخاص تاييد نشده

Manevitch, Leonid I.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301074400.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y