Vibrations of hollow elastic bodies. (2018)

• Record Type: Book
• Further Information: Note: Magomed F. Mekhtiev.
• Authors: Mekhtiev, Magomed F
• Contents: Intro; 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. 1.7 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. 2.6 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. 4.3 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. 4.11 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xvii, 212 pages), illustrations
• Subjects: 624.1/7762; Engineering; Shells (Engineering) -- Vibration; TECHNOLOGY & ENGINEERING -- Civil -- General; Shells (Engineering) -- Vibration; Technology & Engineering -- Material Science; Technology & Engineering -- Mechanical; Testing of materials; Dynamics & vibration; Materials; Surfaces (Physics); Vibration; Mechanical engineering & materials; Electronic books
• Languages: English
• ISBNs: 9783319743547; 3319743546
• Related ISBNs: 9783319743530; 3319743538
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 6, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.