Mathematical modelling and numerical analysis of size-dependent structural members in temperature fields: regular and chaotic dynamics of micro/nano beams, and cylindrical panels
Title Statements
- Full title :Mathematical modelling and numerical analysis of size-dependent structural members in temperature fields : regular and chaotic dynamics of micro/nano beams, and cylindrical panels / Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko.
Edition Statements
- Publication Date:2020.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:2020.
The Physical Object
- Description:1 online resource (419 pages)
Edition Identifiers
- ISBN:9783030559939, 3030559939
- DOI:10.1007/978-3-030-55993-9
- oclc:on1202466942
- LC Classification:QA808
- Dewey Decimal:515/.19
Table of 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
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
3.8 Method Bas…
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