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000826144 019__ $$a1027053200$$a1029095782
000826144 020__ $$a9783319743547$$q(electronic book)
000826144 020__ $$a3319743546$$q(electronic book)
000826144 020__ $$z9783319743530
000826144 0247_ $$a10.1007/978-3-319-74354-7$$2doi
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000826144 050_4 $$aTA660.S5
000826144 08204 $$a624.1/7762$$223
000826144 1001_ $$aMekhtiev, Magomed F.,$$eauthor.
000826144 24510 $$aVibrations of hollow elastic bodies /$$cMagomed F. Mekhtiev.
000826144 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000826144 300__ $$a1 online resource (xvii, 212 pages) :$$billustrations.
000826144 336__ $$atext$$btxt$$2rdacontent
000826144 337__ $$acomputer$$bc$$2rdamedia
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000826144 4901_ $$aAdvanced structured materials,$$x1869-8433 ;$$vvolume 88
000826144 504__ $$aIncludes bibliographical references.
000826144 5050_ $$aIntro; Preface; References; About the Book; Contents; About the Author; 1 Asymptotic Analysis of Dynamic Elasticity Problems for a Hollow Cylinder of Finite Length; Abstract; 1.1 Construction of Homogeneous Solutions; 1.2 Analysis of the Roots of the Dispersion Equation; 1.3 Construction of Asymptotic Formulas for Displacements and Stresses; 1.4 Generalized Orthogonality Condition of Homogeneous Solutions: Satisfaction of Boundary Conditions at the Cylinder Ends; 1.5 Construction of Dynamic Refined Applied Theories of a Hollow Cylinder; 1.6 Torsional Vibrations of an Isotropic Hollow Cylinder.
000826144 5058_ $$a1.7 Elastic Vibrations of a Hollow Cylinder with a Fixed Side Surface1.8 Forced Vibrations of a Hollow Cylinder with Mixed Boundary Conditions on the Side Surface; References; 2 Asymptotic Analysis of Dynamic Elasticity Problem for a Hollow Sphere; Abstract; 2.1 The General Representation of the Solution to the Equations of Axisymmetric Dynamic Elasticity Theory in Spherical Coordinates; 2.2 Inhomogeneous Solutions; 2.3 Construction of Homogeneous Solutions; 2.4 Asymptotic Analysis of the Dispersion Equation; 2.5 Asymptotic Analysis of Homogeneous Solutions for a Spherical Shell.
000826144 5058_ $$a2.6 Dynamical Torsion of a Spherical Layer2.7 Non-axisymmetric Dynamic Problems of Elasticity Theory for a Hollow Sphere; References; 3 Free Vibrations of Isotropic Hollow Cylinder and Closed Hollow Sphere; Abstract; 3.1 Free Vibrations of an Isotropic Hollow Cylinder; 3.2 Analysis of the Frequency Equation and Vibration Forms of a Cylinder; 3.3 Axisymmetric Free Vibrations of a Hollow Sphere; References; 4 Asymptotic Analysis of Stress-Strain State of a Truncated Hollow Cone; Abstract; 4.1 Construction of Homogeneous Solutions; 4.2 Analysis of the Roots of the Characteristic Equation.
000826144 5058_ $$a4.3 Analysis of the Stress-Strain State4.4 Reduction to Infinite Systems; 4.5 Construction of Refined Applied Theories for a Conical Shell; 4.6 Axisymmetric Problem for a Plate of Variable Thickness; 4.7 Analysis of the Characteristic Equation for a Plate of Variable Thickness; 4.8 Analysis of Stress-Strain State of a Plate; 4.9 Reduction of a Boundary Value Problem for a Plate of Variable Thickness and Infinite Systems at Given Stresses; 4.10 Construction of Applied Theories for the Plates of Variable Thickness.
000826144 5058_ $$a4.11 Investigation of Elastic Equilibrium of a Hollow Cone with a Fixed Side Surface and Mixed Boundary Conditions on the Side Surface4.12 Asymptotic Analysis of the Solutions of Some Axisymmetric Problems for Plates of Variable Thickness; 4.13 Asymptotic Analysis of the Characteristic Equation; 4.14 Construction of Asymptotic Formulas for Displacements and Stresses; 4.15 Kirsch Problem for Plates of Variable Thickness; 4.16 Torsional Vibrations of a Conical Shell of Variable Thickness; References; Appendix; References.
000826144 506__ $$aAccess limited to authorized users.
000826144 520__ $$aThis book focuses on the justification and refinement of highly diverse approximate dynamic models for engineering structures arising in modern technology, including high-tech domains involving nano- and meta-materials. It proposes a classification for vibration spectra over a broad frequency domain and evaluates the range of validity of various existing 2D theories for thin-walled shells by comparing them with 3D benchmark solutions. The dynamic equations in 3D elasticity are applied to the analysis of harmonic vibrations in hollow bodies with canonical shapes. New exact homogeneous and inhomogeneous solutions are derived for cylinders, spheres and cones (including spherical and conical layers), as well as for plates of variable thickness. The book includes a wealth of numerical examples, as well as refined versions of 2D dynamic formulations. Boundary value problems for hollow bodies are also addressed.
000826144 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 6, 2018).
000826144 650_0 $$aShells (Engineering)$$xVibration.
000826144 77608 $$iPrint version: $$z9783319743530
000826144 830_0 $$aAdvanced structured materials ;$$v88.$$x1869-8433
000826144 852__ $$bebk
000826144 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-74354-7$$zOnline Access$$91397441.1
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