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_a9781118725184 _q(electronic bk.) |
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| 020 | _a9781118725191 | ||
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_a624.1/7765015114 _223 |
| 049 | _aMAIN | ||
| 100 | 1 |
_aAndrianov, I. V. _q(Igorʹ Vasilʹevich), _d1948- |
|
| 245 | 1 | 0 |
_aAsymptotic methods in the theory of plates with mixed boundary conditions / _cIgor Andrianov, Jan Awrejcewicz, Vladislav V. Danishevskyy, Andrey O. Ivankov. |
| 264 | 1 |
_aChichester, West Sussex, United Kingdom : _bJohn Wiley & Sons, Ltd., _c2014. |
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| 300 | _a1 online resource. | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 504 | _aIncludes bibliographical references and index. | ||
| 588 | 0 | _aPrint version record and CIP data provided by publisher. | |
| 520 |
_aThis 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. -- _cEdited summary from book. |
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| 505 | 0 | _aCover; 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. | |
| 505 | 8 | _a1.4.1 Accelerating Convergence of Iterative Processes1.4.2 Removing Singularities and Reducing the Gibbs-Wilbraham Effect; 1.4.3 Localized Solutions; 1.4.4 Hermite-Padé Approximations and Bifurcation Problem; 1.4.5 Estimates of Effective Characteristics of Composite Materials; 1.4.6 Continualization; 1.4.7 Rational Interpolation; 1.4.8 Some Other Applications; 1.5 Matching of Limiting Asymptotic Expansions; 1.5.1 Method of Asymptotically Equivalent Functions for Inversion of Laplace Transform; 1.5.2 Two-Point PA; 1.5.3 Other Methods of AEFs Construction; 1.5.4 Example: Schrödinger Equation. | |
| 505 | 8 | _a1.5.5 Example: AEFs in the Theory of Composites1.6 Dynamical Edge Effect Method; 1.6.1 Linear Vibrations of a Rod; 1.6.2 Nonlinear Vibrations of a Rod; 1.6.3 Nonlinear Vibrations of a Rectangular Plate; 1.6.4 Matching of Asymptotic and Variational Approaches; 1.6.5 On the Normal Forms of Nonlinear Vibrations of Continuous Systems; 1.7 Continualization; 1.7.1 Discrete and Continuum Models in Mechanics; 1.7.2 Chain of Elastically Coupled Masses; 1.7.3 Classical Continuum Approximation; 1.7.4 ""Splashes''; 1.7.5 Envelope Continualization; 1.7.6 Improvement Continuum Approximations. | |
| 505 | 8 | _a1.7.7 Forced Oscillations1.8 Averaging and Homogenization; 1.8.1 Averaging via Multiscale Method; 1.8.2 Frozing in Viscoelastic Problems; 1.8.3 The WKB Method; 1.8.4 Method of Kuzmak-Whitham (Nonlinear WKB Method); 1.8.5 Differential Equations with Quickly Changing Coefficients; 1.8.6 Differential Equation with Periodically Discontinuous Coefficients; 1.8.7 Periodically Perforated Domain; 1.8.8 Waves in Periodically Nonhomogenous Media; References; Chapter 2 Computational Methods for Plates and Beams with Mixed Boundary Conditions; 2.1 Introduction. | |
| 505 | 8 | _a2.1.1 Computational Methods of Plates with Mixed Boundary Conditions2.1.2 Method of Boundary Conditions Perturbation; 2.2 Natural Vibrations of Beams and Plates; 2.2.1 Natural Vibrations of a Clamped Beam; 2.2.2 Natural Vibration of a Beam with Free Ends; 2.2.3 Natural Vibrations of a Clamped Rectangular Plate; 2.2.4 Natural Vibrations of the Orthotropic Plate with Free Edges Lying on an Elastic Foundation; 2.2.5 Natural Vibrations of the Plate with Mixed Boundary Conditions ""Clamping-Simple Support''; 2.2.6 Comparison of Theoretical and Experimental Results. | |
| 650 | 0 |
_aPlates (Engineering) _xMathematical models. |
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| 650 | 0 | _aAsymptotic expansions. | |
| 650 | 4 | _aAsymptotic expansions. | |
| 650 | 4 | _aFinite element method. | |
| 650 | 4 |
_aPlates (Engineering) _xMathematical models. |
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| 650 | 4 | _aPlates (Engineering) | |
| 650 | 7 |
_aTECHNOLOGY & ENGINEERING _xCivil _xGeneral. _2bisacsh |
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| 650 | 7 |
_aAsymptotic expansions. _2fast _0(OCoLC)fst00819868 |
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| 650 | 7 |
_aPlates (Engineering) _xMathematical models. _2fast _0(OCoLC)fst01066793 |
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| 655 | 4 | _aElectronic books. | |
| 700 | 1 |
_aAwrejcewicz, J. _q(Jan) |
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| 700 | 1 |
_aDanishevskiĭ, V. V. _q(Vladislav Valentinovich) |
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| 700 | 1 | _aIvankov, Andrey. | |
| 776 | 0 | 8 |
_iPrint version: _aAndrianov, I.V. (Igorʹ Vasilʹevich), 1948- _tAsymptotic methods in the theory of plates with mixed boundary conditions. _dChichester, West Sussex, United Kingdom : John Wiley & Sons, Ltd., 2014 _z9781118725191 _w(DLC) 2013034287 |
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_uhttp://onlinelibrary.wiley.com/book/10.1002/9781118725184 _zWiley Online Library [Free Download only for SUST IP] |
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