Response of a Thick Orthotropic Composite Material to Dynamic Surface Line Loads and the Application to Elastic Constant Determination

Tsai, Yu-Min; Papadakis, Emmanuel P.; Patton, Thadd C.

doi:10.1007/978-1-4615-3742-7_65

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“…This is the principal motivation for us to neglect the circumferential and longitudinal motions. The effects that material anisotropy has on the propagation of a longitudinal wave in a transversely isotropic rod and hollow cylinder have been investigated recently, Tsai et al [2] and Tsai [3] and the results have been applied to elastic constant determinations. Other publications on the topic include works by Girl [4], Sinha [5], Chakrabarti [6], Maugin [7], Abd-alla and Maugin [8] and Abd-alla [9].…”

Section: Introductionmentioning

confidence: 99%

Magneto-elastic radial vibrations of a transversely isotropic hollow cylinder

Abd-alla

1997

Japan J. Indust. Appl. Math.

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The radial vibrations of a thick transversely isotropic elastic cylinder subjected to a uniform axial magnetic field are considered. The problem is described by the equations of elasticity taking into account the effect of the magnetic field and the electro-magnetic equations of Maxwell. This requires the solution of the equations of motion in cylindrical coordinates with the z-axis directed along the axis of the cylinder. The frequency equations have been derived in the form of a determinant involving Bessel functions. The roots of the frequency equation give the values of the characteristic circular frequency parameters of the first four modes for various geometries. These roots, which correspond to various modes, are numerically calculated and presented graphically. This study shows that waves in a solid body propagating under the influence of a superimposed magnetic field can differ significantly from those propagating in the absence of a magnetic field. Also, the circular frequency increases with decreasing wall thickness of the cylindrical shell for all modes and increase with the higher modes of motion. Finally, it is noticed that the effect of the magnetic field on the mode frequency becomes less significant for the higher modes.

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Section: Introductionmentioning

confidence: 99%

Magneto-elastic radial vibrations of a transversely isotropic hollow cylinder

Abd-alla

1997

Japan J. Indust. Appl. Math.

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show abstract

Response of a Thick Orthotropic Composite Material to Dynamic Surface Line Loads and the Application to Elastic Constant Determination

Cited by 1 publication

References 5 publications

Magneto-elastic radial vibrations of a transversely isotropic hollow cylinder

Magneto-elastic radial vibrations of a transversely isotropic hollow cylinder

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