000 01485 a2200205 4500
005 20180917142345.0
008 180913b xxu||||| |||| 00| 0 eng d
020 _a9783319743530
040 _cIIT Kanpur
041 _aeng
082 _a620.1
_bM479v
100 _aMekhtiev, Magomed F.
245 _aVibrations of hollow elastic bodies
_cMagomed F. Mekhtiev
260 _bSpringer
_c2018
_aSwitzerland
440 _aAdvanced structured materials
440 _a / edited by Andreas Ochsner; v.88
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 _aVibration spectra
942 _cBK
999 _c559465
_d559465