Effect of Magnetic Field and Initial Stress on Radial Vibrations in Rotating Orthotropic Homogeneous Hollow Sphere

被引:1
作者
Mahmoud, S. R. [1 ,2 ]
Tounsi, Abdelouahed [3 ]
Marin, M. [4 ]
Ali, S. I. [5 ,6 ]
Ali, A. T. [1 ,6 ]
机构
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt
[3] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Civil Engn, Sidi Bel Abbes, Algeria
[4] Univ Brasov, Dept Math, Fac Math, Brasov 2200, Romania
[5] Hail Univ, Dept Math, Fac Sci, Hail 2440, Saudi Arabia
[6] Al Azhar Univ, Dept Math, Fac Sci, Nasr City 11884, Egypt
关键词
Radial Vibrations; Magnetic Field; Initial Stress; Rotation; Orthotropic; WAVE-PROPAGATION; CONICAL SHELLS; GRAVITY-FIELD; CYLINDER; NONHOMOGENEITY; PRESSURE; PLATES;
D O I
10.1166/jctn.2014.3529
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this work, the effect of the magnetic field, initial stress and rotation on the radial vibrations in orthotropic material is studied. Analytical solution for the elastodynamic problem is solved in terms of displacement. The numerical results of the frequency equations are discussed and shown graphically. Comparisons are made with the previous results in the absence of magnetic field, initial stress and rotation.
引用
收藏
页码:1524 / 1529
页数:6
相关论文
共 28 条
[1]   On the problem of radial vibrations in non-homogeneity isotropic cylinder under influence of initial stress and magnetic field [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. .
JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (09) :1283-1293
[2]   Effect of magnetic field and non-homogeneity on the radial vibrations in hollow rotating elastic cylinder [J].
Abd-Alla, A. M. ;
Yahya, G. A. ;
Mahmoud, S. R. .
MECCANICA, 2013, 48 (03) :555-566
[3]   Radial Vibrations in a Non-Homogeneous Orthotropic Elastic Hollow Sphere Subjected to Rotation [J].
Abd-Alla, A. M. ;
Yahya, G. A. ;
Mahmoud, S. R. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2013, 10 (02) :455-463
[4]   Love Waves in a Non-Homogeneous Orthotropic Magneto-Elastic Layer Under Initial Stress Overlying a Semi-Infinite Medium [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Al-Thamali, T. A. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2013, 10 (01) :10-18
[5]   Analytical solution of wave propagation in a non-homogeneous orthotropic rotating elastic media [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. .
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2012, 26 (03) :917-926
[6]   Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. ;
AL-Shehri, N. A. .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) :8914-8922
[7]   Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. ;
Abo-Dahab, S. M. ;
Helmy, M. I. .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (09) :4321-4332
[8]   Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. .
MECCANICA, 2010, 45 (04) :451-462
[9]   An approximate solution of the axisymmetric contact problem for an elastic sphere [J].
Argatov, II .
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2005, 69 (02) :275-286
[10]   On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates [J].
Chen, WQ ;
Lee, KY ;
Ding, HJ .
JOURNAL OF SOUND AND VIBRATION, 2005, 279 (1-2) :237-251