| Description |
1 online resource (419 pages) |
| Series |
Advanced Structured Materials ; v. 142 |
|
Advanced structured materials ; 142.
|
| Contents |
Intro -- Preface -- Introduction -- Contents -- 1 Nanostructural Members in Various Fields: A Literature Review -- 1.1 Introduction -- 1.1.1 Nanobeams -- 1.1.2 Nanoplates -- 1.1.3 Nanoshells -- References -- 2 Size-Dependent Theories of Beams, Plates and Shells -- 2.1 Introduction -- 2.2 Literature Review -- 2.3 Non-classical (Size-Dependent) Models of Beams, Plates and Shells -- 2.3.1 Nonlocal Theory -- 2.3.2 Modified Couple Stress Theory -- 2.3.3 Modified Theory of a Gradient of Deformations -- 2.3.4 Surface Theory of Elasticity -- 2.3.5 Size-Dependent Theory of Beams, Plates and Shells |
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2.3.6 Size-Dependent Theory of Beams, Plates and Shells Based on the Shear Deformations of the First Order Under the Timoshenko Theory (TBT) -- 2.3.7 Size-Dependent Theory of Beams, Plates and Shells Based on the Shear Deformation Model of the Third Order -- 2.3.8 Nonlocal HSDT-Based Models -- References -- 3 Lyapunov Exponents and Methods of Their Analysis -- 3.1 Introduction -- 3.2 Largest Lyapunov Exponent (LLE) -- 3.3 Spectrum of Lyapunov Exponents -- 3.4 Benettin's Method ch33sps1 -- 3.5 Wolf's Method ch33sps15 -- 3.6 Rosenstein's Method ch33sps9 -- 3.7 Kantz Method ch33sps6 |
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3.8 Method Based on Jacobian Estimation ch33sps4,ch33sps10 -- 3.9 Modification of the Neural Network Method ch32,ch33 -- References -- 4 Reliability of Chaotic Vibrations of Euler-Bernoulli Beams with Clearance -- 4.1 Introduction -- 4.2 Literature Review -- 4.3 Mathematical Model -- 4.4 Principal Component Analysis (PCA) -- 4.5 Numerical Experiment -- 4.6 Application of the Principal Component Analysis (PCA) -- References -- 5 Analysis of Simple Nonlinear Dynamical Systems -- 5.1 Introduction -- 5.2 Gauss Wavelets ch55sps13 -- 5.3 Logistic Map ch55sps10 -- 5.4 Hénon Map ch55sps8 |
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5.5 Hyperchaotic Generalized Hénon Map ch55sps9 -- 5.6 Rössler Attractor ch55sps11 -- 5.7 Lorenz Attractor ch55sps12 -- References -- 6 Mathematical Models of Micro- and Nano-cylindrical Panels in Temperature Field -- 6.1 Introduction -- 6.2 Literature Review -- 6.3 Modified Couple Stress Theory of Thermoelastic Curvilinear Panels -- 6.4 Technical Theory for the Different Models -- 6.5 Static Solutions -- 6.6 Chaotic Dynamics of the Size-Dependent Flexible Beams |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed December 15, 2020) |
| Subject |
Nonlinear mechanics.
|
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Chaotic behavior in systems.
|
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Continuum mechanics.
|
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Nanostructured materials -- Mechanical properties -- Mathematical models
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Chaotic behavior in systems
|
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Continuum mechanics
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Nonlinear mechanics
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| Form |
Electronic book
|
| Author |
Krysko, Anton V.
|
|
Zhigalov, Maxim V
|
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Krysʹko, V. A. (Vadim Anatolʹevich), 1937-
|
| ISBN |
9783030559939 |
|
3030559939 |
|
