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Mekhtiev

Vibrations of Hollow Elastic Bodies

Medium: Buch
ISBN: 978-3-319-74353-0
Verlag: Springer International Publishing
Erscheinungstermin: 12.02.2018
Lieferfrist: bis zu 10 Tage
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.

Produkteigenschaften


  • Artikelnummer: 9783319743530
  • Medium: Buch
  • ISBN: 978-3-319-74353-0
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 12.02.2018
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2018
  • Serie: Advanced Structured Materials
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 518 g
  • Seiten: 212
  • Format (B x H x T): 160 x 241 x 19 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Autoren

Mekhtiev, Magomed F.

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.