Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material

The present investigation is concerned with a study effect of non-homogeneous on the elastic stresses in rotating orthotropic infinite circular cylinder subjected to certain boundary conditions. Closed form stress solutions are obtained for rotating orthotropic cylinder with constant thickness for three cases: (1) a solid cylinder; (2) cylinder mounted on a circular rigid shaft; and (3) cylinder with a circular hole at the center. Analytical expressions for the components of the displacement and the stress in different cases are obtained. The effect of the rotation and non-homogeneity on the displacement and stress are studied. Numerical results are given and illustrated graphically for each case is considered. The effects rotating and non-homogeneity are discussed. Comparisons are made with the results predicted in the presence and absence of rotation.

[1]  E. Theotokoglou,et al.  The radially nonhomogeneous elastic axisymmentric problem , 2008 .

[2]  R. Hearmon,et al.  The Elastic Constants of Anisotropic Materials , 1946 .

[3]  Reza Naghdabadi,et al.  Thermoelastic analysis of a functionally graded rotating disk , 2007 .

[4]  W. Q. Chen,et al.  A solution of a non-homogeneous orthotropic cylindrical shell for axisymmetric plane strain dynamic thermoelastic problems , 2003 .

[5]  A. Abd-alla,et al.  Effect of the Rotation on the Radial Vibrations in a Non-Homogeneous Orthotropic Hollow Cylinder , 2010 .

[6]  M. Eslami,et al.  Thermal and mechanical stresses in a functionally graded thick sphere , 2005 .

[7]  S. Mahmoud Effect of the Non-Homogeneity on Wave Propagation on Orthotropic Elastic Media , 2010 .

[8]  S. G. Lekhnit︠s︡kiĭ Theory of elasticity of an anisotropic body , 1981 .

[9]  H. M. Wang,et al.  Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere , 2003 .

[10]  S. M. Abo-Dahab,et al.  Influences of Rotation, Magnetic Field, Initial Stress, and Gravity on Rayleigh Waves in a Homogeneous Orthotropic Elastic Half-Space , 2010 .

[12]  S. Mahmoud,et al.  Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model , 2010 .

[13]  T. Nofal,et al.  EFFECT OF THE NON-HOMOGENITY ON THE COMPOSITE INFINITE CYLINDER OF ORTHOTROPIC MATERIAL , 2008 .

[14]  Equilibrium of Elastic Hollow Inhomogeneous Cylinders of Corrugated Elliptic Cross-Section , 2006 .

[15]  S. Mahmoud Wave Propagation in Cylindrical Poroelastic Dry Bones , 2010 .

[16]  A. El‐naggar,et al.  On the rotation of a non-homogeneous composite infinite cylinder of orthotropic material , 1995 .