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 | Magnetoelastic torsional vibration of non homogeneous aeolotropic cylindrical shell of viscoelastic solids
Author : Narain , S. ;Srivastava, H. K.
Source : Defence Science Journal ; Vol:54(4) ; 2004 ; pp 443-454
Subject : 53 Applied Physics;531.3 Dynamics
Keywords : Magnetoelasticity;Viscoelastic solids;Magnetoelastic torsional vibration;Torsional vibration;Aeolotropic material
Abstract : This study investigates magnetoelastic torsional vibration of a non-homogeneous aeolotropic cylindrical shell of viscoelastic solids. The non-homogeneity of the shell obeying power law variation of elastic constants and density given by Aij= Cijrn, r = r0rn (i, j = 1,2,...6), where Cij (i, j = 1,2,...6) and r0 are constants and r is the radius vector. Frequency equation and phase velocity in several cases have been derived. Such problems of interaction of elastic and electromagnetic fields have numerous applications in various branches of science, particularly in the detection of mechanical explosions in the interior of the earth and in the electromagnetic energy into vacuum. |
| | Torsional Vibration of a Non-Homogeneous Composite Cylindrical Shell Subjected to a Magnetic Field
Author : Narain, Surya
Source : Defence Science Journal ; Vol:29(3) ; 1979 ; pp 131-140
Subject : 621 Mechanical Engineering
Keywords : Aeolotropic material;Visco-elastic material
Abstract : This paper investigates the propagation of torsional wave in a non-homogeneous composite cylindrical shell characterised by an aeolotropic material in the region r/sub 1/ grater than equal r grater than equal r /sub 2/ and visco-elastic material representing a parallel union of Kelvin and Maxwell bodies in the region r/sub 2/ greater than equal r/ greater than equal r/sub 3/. The non-homogeneity of the shell is due to the variable elastic constants C/sub i/ sub j/, variable density p and variable shear modulus p. Lastly, frequency equation and phase velocity of the wave have been calculated. The perturbation equations of the field the torsional vibration of aeolotropic as well as visco-elastic shell have also been investigated. |
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