Vibrations of Hollow Elastic Bodies [electronic resource] / by Magomed F. Mekhtiev.

Por: Mekhtiev, Magomed F [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoSeries Advanced Structured Materials ; 88Editor: Cham : Springer International Publishing : Imprint: Springer, 2018Edición: 1st ed. 2018Descripción: XVII, 212 p. 12 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783319743547Tema(s): Mechanics | Mechanics, Applied | Materials science | Vibration | Dynamical systems | Dynamics | Solid Mechanics | Characterization and Evaluation of Materials | Vibration, Dynamical Systems, ControlFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 531 Clasificación LoC:TA349-359Recursos en línea: Libro electrónicoTexto
Contenidos:
Introduction -- 3D equations of dynamic elasticity in orthogonal co-ordinates -- Exact homogeneous and inhomogeneous solutions -- Cylinder of finite length -- Spherical layer -- Truncated cone -- Plates of variable thickness -- Free vibrations of cylinders and spheres -- Asymptotic analysis of thin-walled structures -- Validation of 2D engineering theories -- Conclusions.
En: Springer Nature eBookResumen: This 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.
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Acceso multiusuario

Introduction -- 3D equations of dynamic elasticity in orthogonal co-ordinates -- Exact homogeneous and inhomogeneous solutions -- Cylinder of finite length -- Spherical layer -- Truncated cone -- Plates of variable thickness -- Free vibrations of cylinders and spheres -- Asymptotic analysis of thin-walled structures -- Validation of 2D engineering theories -- Conclusions.

This 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.

UABC ; Temporal ; 01/01/2021-12/31/2023.

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