Plane Vibrations in a Transversely Isotropic Infinite Hollow Cylinder Under Effect of the Rotation and Magnetic Field

被引：0

作者：

Bayones, F. S. ^{[1
]}

Abd-Alla, A. M. ^{[2
]}

机构：

[1] Taif Univ, Math Dept, Fac Sci, At Taif, Saudi Arabia

[2] Fac Sci, Math Dept, Sohag, Egypt

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2017年 / 113卷 / 02期

关键词：

Plane transversely isotropic; rotating; magnetic field; homogeneous; transversely isotropic; Natural frequencies; SHEAR DEFORMATION-THEORY; WAVE-PROPAGATION; NON-HOMOGENITY; REFINED THEORY; THERMOELASTICITY; EFFICIENT; PLATES;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to study the effects of rotation and magnetic field on the plane vibrations in a transversely isotropic material of an infinite hollow cylinder. The natural frequency of the plane vibrations in the case of harmonic vibrations has been obtained. The natural frequencies are calculated numerically and the effects of rotation and magnetic field are discussed. The numerical results obtained have been illustrated graphically to understand the behavior of frequency equation with different values of frequency omega under effects the rotation and magnetic field. Comparison was made with the results obtained in the presence and absence of the rotation and magnetic field. The results indicate that the effect of rotation and magnetic field are very pronounced.

引用

页码：151 / 170

页数：20

共 50 条

[21] Stress analysis of transversely isotropic cylinder under arbitrary axisymmetric load
Liu, Bin
Liu, Quan-Sheng
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2008, 22 (9-11): : 1431 - 1436
[22] Rigid cylinder in a transversely isotropic half-space under lateral loads
Shahmohamadi, M.
Khojasteh, A.
Rahimian, M.
Pak, R. Y. S.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2012, 36 (10) : 1368 - 1386
[23] Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories
Biswas, Siddhartha
WAVES IN RANDOM AND COMPLEX MEDIA, 2021, 31 (03) : 403 - 419
[24] The effect of rotation on the free vibrations in a non-homogeneous orthotropic magneto-elastic hollow sphere
Bayones, Fatima S.
Abd-Alla, Abd-elmoaty M.
Yahya, Gamal A.
Farhan, Ashraf M.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2023, 51 (06) : 3313 - 3328
[25] Effect of Rotation on Magneto-Thermoelastic Homogeneous Isotropic Hollow Cylinder with Energy Dissipation Using Finite Element Method
Othman, Mohamed I. A.
Abbas, Ibrahim A.
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2015, 12 (09) : 2399 - 2404
[26] Effect of the non-homogenity on the composite infinite cylinder of isotropic material
Abd-Alla, A. M.
Nofal, T. A.
Farhan, A. M.
PHYSICS LETTERS A, 2008, 372 (29) : 4861 - 4864
[27] Thermo-mechanical interactions in a nonlocal transversely isotropic material with rotation under Lord-Shulman model
Sheoran, Sandeep Singh
Chaudhary, Shilpa
Deswal, Sunita
WAVES IN RANDOM AND COMPLEX MEDIA, 2021, : 3970 - 3994
[28] Influence of magnetic field on free vibrations in elastodynamic problem of orthotropic hollow sphere
Mahmoud, S. R.
Abd-Alla, A. M.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2014, 35 (08) : 1051 - 1066
[29] Analytical Solution for Free Vibrations of Elastodynamic Problem in Orthotropic Hollow Sphere Under the Influence of Rotation
Mahmoud, S. R.
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (01) : 137 - 146
[30] Poroelastodynamic responses and elastic moduli of a transversely isotropic porous cylinder under forced deformation test
Liu, Chao
Phan, Dung T.
INTERNATIONAL JOURNAL OF MINING SCIENCE AND TECHNOLOGY, 2023, 33 (07) : 793 - 800

← 1 2 3 4 5 →