The present investigation is concerned with a study effect of rotation and magnetic field on the plane deformation and the corresponding stresses in hollow elastic cylinder rotating about its axis with a constant angular velocity. The material of the cylinder is assumed to the non-homogeneous and orthotropic. Results of this paper are presented graphically and then compared with others in the absence of magnetic field, rotation and non-homogeneity. The results indicate that the effect of rotation and non-homogeneity are very pronounced. The variation of stresses and displacements has been shown graphically.
Abd-AllaAMMahmoudSRAbo-DahabSMHelmiMIR (2011a) Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field. Applied Mathematics and Computation217: 4321–4332.
2.
Abd-AllaAMAbo-DahabSMHammadHAMahmoudSR (2011b) On generalized magneto-thermoelastic rayleigh waves in a granular medium under influence of gravity field and initial stress. Journal of Vibration and Control17: 115–128.
3.
Abd-AllaAMMahmoudSRAL-ShehriNA (2011c) Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material. Applied Mathematics and Computation217: 8914–8922.
4.
Abd-AllaAMYahyaGAMahmoudSR (2013a) Effect of magnetic field and non-homogeneity on the radial vibrations in hollow rotating elastic cylinder. Meccanica48: 555–566.
5.
Abd-AllaAMYahyaGAMahmoudSR (2013b) Radial vibrations in a non-homogeneous orthotropic elastic hollow sphere subjected to rotation. Journal of Computational and Theoretical Nanoscience10: 455–463.
6.
Abd-AllaAMAbo-DahabSMMahmoudSRAl-ThamaliaTA (2013c) Influence of the rotation and gravity field on Stonely waves in a non-homogeneous orthotropic elastic medium. Journal of Computational and Theoretical Nanoscience10: 297–305.
7.
Abd-AllaAMMahmoudSR (2010) Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylindrical under the hyperbolic heat conduction model. Meccanica45: 451–462.
8.
Abd-AllaAMMahmoudSR (2012) Analytical solution of wave propagation in non-homogeneous orthotropic rotating elastic media. Journal of Mechanical Science and Technology26: 917–926.
9.
Abd-AllaAMMahmoudSR (2013) On problem of radial vibrations in non-homogeneity isotropic cylinder under influence of initial stress and magnetic field. Journal of Vibration and Control19: 1283–1293.
10.
BuchananGRLiuYJ (2005) An analysis of the free vibration of thick-walled isotropic toroidal shells. Int. J. Mechanical Science47: 277–292.
11.
BuchananGRYiiCB (2002) Effect of symmetrical boundary conditions on the vibration of thick hollow cylinders. J. Applied Acoustics63: 547–566.
12.
ChatzigeorgiouGCharalambakisNMuratF (2008) Homogenization problems of a hollow cylinder made of elastic material with discontinuous properties. Int. J. Solids and Structures45: 5165–5180.
13.
DingHWangHChenW (2002) Elastodynamic solution of a non-homogeneous orthotropic hollow cylinder. ActaMechanicaSinica18: 621–628.
14.
DingHJWangHMChenWQ (2003) A solution of a non-homogeneous orthotropic cylindrical shell for axisymmetric plane strain dynamic thermo elastic problems. Journal of Sound and Vibration26: 815–829.
15.
DingHJWangHMHouPF (2003) The transient responses of piezoelectric hollow cylinders for axisymmetric plane strain problems. International Journal of Solids and Structures40: 105–123.
16.
Hasani BaferaniASaidiARJomehzadehE (2012) Exact analytical solution for free vibration of functionally graded thin annular sector plates resting on elastic foundation. Journal of Vibration and Control18: 246–267.
17.
HearmonRFS (1946) Elastic constants of anisotropic material. Rev Mod Phys18: 41– 50.
18.
HouPFLeungAYT (2004) The transient response of magneto-electro-elastic hollow cylinders. Smart Material Structure13: 762–776.
19.
GbadeyanandJADadaMS (2011) A comparison of dynamic responses of three versions of moving load problem involving elastic rectangular plates. Journal of Vibration and Control17: 903–915.
20.
JianqiaoYQiujuanMShanS (2008) Wave propagation in non-homogeneous magneto-eletro-elatic hollow cylinders. J. Ultrasonic48: 664–677.
21.
MahmoudSR (2010) Wave propagation in cylindrical poroelastic dry bones. Applied Mathematics & Information Sciences4: 209–226.
22.
MahmoudSR (2012) Influnce of rotation and generalized magneto-thermoelastic on Rayleigh waves in a granular medium under effect of initial stress and gravity field. Meccanica47: 71561–71579.
23.
MahmoudSRAbd-AllaAMAL-ShehriNA (2011a) Effect of the rotation on plane vibrations in a transversely isotropic infinite hollow cylinder. International Journal of Modern Physics B25: 3513–3528.
24.
MahmoudSRAbd-AllaAMMatookaBR (2011b) Effect of the rotation on wave motion through cylindrical bore in a micropolar porous cubic crystal. International Journal of Modern Physics B25: 2713–2728.
25.
MahmoudSRMarinMAliSIAl-BasyouniKS (2013) On free vibrations of elastodynamic problem in rotating non- homogeneous orthotropic hollow sphere. Mathematical Problems in Engineering.. Epub ahead of print. DOI: 10.1155/2013/250567.
26.
RajneeshKSunitaD (2006) Some problems of wave propagation in a micropolar elastic medium with voids. Journal of Vibration and Control12: 849–879.
27.
TomarSKDilbagS (2006) Propagation of Stoneley waves at an interface between two microstretch elastic half-spaces. Journal of Vibration and Control12: 995–1009.
28.
WangXShenYP (2003) Inclusions of arbitrary shape in magneto-electro-elastic composite materials. International Journal of Engineering Science41: 85–102.
