000 03293nam a22005655i 4500
001 978-3-319-74354-7
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005 20220801221515.0
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008 180202s2018 sz | s |||| 0|eng d
020 _a9783319743547
_9978-3-319-74354-7
024 7 _a10.1007/978-3-319-74354-7
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aMekhtiev, Magomed F.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_956428
245 1 0 _aVibrations of Hollow Elastic Bodies
_h[electronic resource] /
_cby Magomed F. Mekhtiev.
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXVII, 212 p. 12 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvanced Structured Materials,
_x1869-8441 ;
_v88
505 0 _aIntroduction -- 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.
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.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMaterials—Analysis.
_956429
650 0 _aMultibody systems.
_96018
650 0 _aVibration.
_96645
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aCharacterization and Analytical Technique.
_956430
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_932157
710 2 _aSpringerLink (Online service)
_956431
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319743530
776 0 8 _iPrinted edition:
_z9783319743554
776 0 8 _iPrinted edition:
_z9783319892764
830 0 _aAdvanced Structured Materials,
_x1869-8441 ;
_v88
_956432
856 4 0 _uhttps://doi.org/10.1007/978-3-319-74354-7
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79743
_d79743