001432175 000__ 04923cam\a2200649\a\4500 001432175 001__ 1432175 001432175 003__ OCoLC 001432175 005__ 20230309003428.0 001432175 006__ m\\\\\o\\d\\\\\\\\ 001432175 007__ cr\un\nnnunnun 001432175 008__ 201031s2020\\\\sz\\\\\\ob\\\\000\0\eng\d 001432175 019__ $$a1199891603 001432175 020__ $$a9783030559939$$q(electronic bk.) 001432175 020__ $$a3030559939$$q(electronic bk.) 001432175 020__ $$z3030559920 001432175 020__ $$z9783030559922 001432175 0247_ $$a10.1007/978-3-030-55993-9$$2doi 001432175 035__ $$aSP(OCoLC)1202466942 001432175 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dYDX$$dUKAHL$$dGW5XE$$dOCLCO$$dEBLCP$$dOCLCF$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ 001432175 049__ $$aISEA 001432175 050_4 $$aQA808 001432175 08204 $$a515/.19$$223 001432175 1001_ $$aAwrejcewicz, J.$$q(Jan) 001432175 24510 $$aMathematical modelling and numerical analysis of size-dependent structural members in temperature fields :$$bregular and chaotic dynamics of micro/nano beams, and cylindrical panels /$$cJan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko. 001432175 260__ $$aCham :$$bSpringer,$$c2020. 001432175 300__ $$a1 online resource (419 pages) 001432175 336__ $$atext$$btxt$$2rdacontent 001432175 337__ $$acomputer$$bc$$2rdamedia 001432175 338__ $$aonline resource$$bcr$$2rdacarrier 001432175 4901_ $$aAdvanced Structured Materials ;$$vv. 142 001432175 504__ $$aIncludes bibliographical references. 001432175 5050_ $$aIntro -- 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 001432175 5058_ $$a2.3.6 Size-Dependent Theory of Beams, Plates and Shells Based on the Shear Deformations of the First Order Under the Timoshenko Theory (TBT) -- 2.3.7 Size-Dependent Theory of Beams, Plates and Shells Based on the Shear Deformation Model of the Third Order -- 2.3.8 Nonlocal HSDT-Based Models -- References -- 3 Lyapunov Exponents and Methods of Their Analysis -- 3.1 Introduction -- 3.2 Largest Lyapunov Exponent (LLE) -- 3.3 Spectrum of Lyapunov Exponents -- 3.4 Benettin's Method ch33sps1 -- 3.5 Wolf's Method ch33sps15 -- 3.6 Rosenstein's Method ch33sps9 -- 3.7 Kantz Method ch33sps6 001432175 5058_ $$a3.8 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 001432175 5058_ $$a5.5 Hyperchaotic Generalized Hénon Map ch55sps9 -- 5.6 Rössler Attractor ch55sps11 -- 5.7 Lorenz Attractor ch55sps12 -- References -- 6 Mathematical Models of Micro- and Nano-cylindrical Panels in Temperature Field -- 6.1 Introduction -- 6.2 Literature Review -- 6.3 Modified Couple Stress Theory of Thermoelastic Curvilinear Panels -- 6.4 Technical Theory for the Different Models -- 6.5 Static Solutions -- 6.6 Chaotic Dynamics of the Size-Dependent Flexible Beams 001432175 506__ $$aAccess limited to authorized users. 001432175 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 15, 2020). 001432175 650_0 $$aNonlinear mechanics. 001432175 650_0 $$aChaotic behavior in systems. 001432175 650_0 $$aContinuum mechanics. 001432175 650_0 $$aNanostructured materials$$xMechanical properties$$xMathematical models. 001432175 650_6 $$aMécanique non linéaire. 001432175 650_6 $$aChaos. 001432175 650_6 $$aMécanique des milieux continus. 001432175 650_6 $$aNanomatériaux$$xPropriétés mécaniques$$xModèles mathématiques. 001432175 655_0 $$aElectronic books. 001432175 7001_ $$aKrysko, Anton V. 001432175 7001_ $$aZhigalov, Maxim V. 001432175 7001_ $$aKrysʹko, V. A.$$q(Vadim Anatolʹevich),$$d1937- 001432175 77608 $$iPrint version:$$aAwrejcewicz, Jan.$$tMathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields : Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels.$$dCham : Springer International Publishing AG, ©2020$$z9783030559922 001432175 830_0 $$aAdvanced structured materials ;$$v142. 001432175 852__ $$bebk 001432175 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-55993-9$$zOnline Access$$91397441.1 001432175 909CO $$ooai:library.usi.edu:1432175$$pGLOBAL_SET 001432175 980__ $$aBIB 001432175 980__ $$aEBOOK 001432175 982__ $$aEbook 001432175 983__ $$aOnline 001432175 994__ $$a92$$bISE