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Dispersion relations for elastic waves in plates and rods.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dispersion relations for elastic waves in plates and rods./
作者:	Amirkulova, Feruza Abdukadirovna.
面頁冊數:	114 p.
附註:	Source: Masters Abstracts International, Volume: 49-04, page: 2669.
Contained By:	Masters Abstracts International49-04.
標題:	Applied Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1489690
ISBN:	9781124530758

Dispersion relations for elastic waves in plates and rods.
Amirkulova, Feruza Abdukadirovna.

Dispersion relations for elastic waves in plates and rods. - 114 p.

Source: Masters Abstracts International, Volume: 49-04, page: 2669.

Thesis (M.S.)--Rutgers The State University of New Jersey - New Brunswick, 2011.

Wave propagation in homogeneous elastic structures is studied. Dispersion relations are obtained for elastic waves in plates and rods, for symmetric and antisymmetric modes using different displacement potentials. Some engineering beam theories are considered. Dispersion relations are obtained for phase velocity. The comparison of results based on the fundamental beam theories is presented for the lowest flexural mode. The Rayleigh-Lamb frequency equations are derived for elastic plate using the Helmholtz displacement decomposition. The Rayleigh-Lamb equations are considered in a new way. A new series expansion of frequency to any order of wave number, in principle, is obtained for symmetric and antisymmetric modes using an iteration method. Dispersion relations are shown in graphs for frequency, phase speed and group speed versus wave number. The obtained results are in good agreement with exact solutions. The cutoff frequencies for axial-shear, radial-shear and flexural modes are calculated and taken as starting points in dispersion relations for frequencies versus wave number. Different displacement potential representations are presented and compared. The Pochhammer-Chree frequency equations are derived for elastic rods using two displacement potentials, such as the Helmholtz decomposition for vector fields and Buchwald's vector potentials. Buchwald's representation enables us to find an efficient formulation of dispersion relations in an isotropic as well as anisotropic rods. Analysis of the numerical results on dispersion relations and cutoff frequencies for axial-shear, radial-shear and flexural modes is given.

ISBN: 9781124530758Subjects--Topical Terms:

845450
Applied Mechanics.

Dispersion relations for elastic waves in plates and rods.
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020 $a 9781124530758
035 $a (UMI)AAI1489690
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040 $a UMI $c UMI
100 1 $a Amirkulova, Feruza Abdukadirovna. $3 845605
245 1 0 $a Dispersion relations for elastic waves in plates and rods.
300 $a 114 p.
500 $a Source: Masters Abstracts International, Volume: 49-04, page: 2669.
500 $a Adviser: Andrew Norris.
502 $a Thesis (M.S.)--Rutgers The State University of New Jersey - New Brunswick, 2011.
520 $a Wave propagation in homogeneous elastic structures is studied. Dispersion relations are obtained for elastic waves in plates and rods, for symmetric and antisymmetric modes using different displacement potentials. Some engineering beam theories are considered. Dispersion relations are obtained for phase velocity. The comparison of results based on the fundamental beam theories is presented for the lowest flexural mode. The Rayleigh-Lamb frequency equations are derived for elastic plate using the Helmholtz displacement decomposition. The Rayleigh-Lamb equations are considered in a new way. A new series expansion of frequency to any order of wave number, in principle, is obtained for symmetric and antisymmetric modes using an iteration method. Dispersion relations are shown in graphs for frequency, phase speed and group speed versus wave number. The obtained results are in good agreement with exact solutions. The cutoff frequencies for axial-shear, radial-shear and flexural modes are calculated and taken as starting points in dispersion relations for frequencies versus wave number. Different displacement potential representations are presented and compared. The Pochhammer-Chree frequency equations are derived for elastic rods using two displacement potentials, such as the Helmholtz decomposition for vector fields and Buchwald's vector potentials. Buchwald's representation enables us to find an efficient formulation of dispersion relations in an isotropic as well as anisotropic rods. Analysis of the numerical results on dispersion relations and cutoff frequencies for axial-shear, radial-shear and flexural modes is given.
590 $a School code: 0190.
650 4 $a Applied Mechanics. $3 845450
650 4 $a Engineering, Mechanical. $3 845387
650 4 $a Engineering, Materials Science. $3 845422
690 $a 0346
690 $a 0548
690 $a 0794
710 2 $a Rutgers The State University of New Jersey - New Brunswick. $b Graduate School - New Brunswick. $3 845606
773 0 $t Masters Abstracts International $g 49-04.
790 1 0 $a Norris, Andrew, $e advisor
790 $a 0190
791 $a M.S.
792 $a 2011
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1489690