Propagation of Elastic Waves in Cylindrical Shells, Including the Effects of Transverse Shear and Rotatory Inertia

1956 ◽  
Vol 28 (1) ◽  
pp. 56-63 ◽  
Author(s):  
P. M. Naghdi ◽  
R. M. Cooper
Keyword(s):  
Transverse Shear ◽  
Elastic Waves ◽  
Cylindrical Shells ◽  
Rotatory Inertia ◽  
Propagation Of Elastic Waves

A Study of Axisymmetric Vibrations of Cylindrical Shells as Affected by Rotatory Inertia and Transverse Shear

1956 ◽  
Vol 23 (2) ◽  
pp. 255-261
Author(s):  
T. C. Lin ◽  
G. W. Morgan
Keyword(s):  
Transverse Shear ◽  
Circular Tube ◽  
Cylindrical Shells ◽  
Rotatory Inertia ◽  
High Frequencies ◽  
Additional Mode ◽  
Velocity Of Propagation

Abstract An analysis is presented of the problem of the propagation of axisymmetric waves in an elastic circular tube. The theory includes the effects of rotatory inertia and transverse shear in the same manner as does Timoshenko’s theory of the vibrations of bars. These effects are of importance for waves at high frequencies; they tend to decrease the velocity of propagation and introduce an additional mode due to shear.

scholarly journals Propagation of Elastic Waves in Prestressed Media

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Inder Singh ◽  
Dinesh Kumar Madan ◽  
Manish Gupta
Keyword(s):  
Elastic Waves ◽  
Plane Waves ◽  
Dynamical Equations ◽  
P Waves ◽  
General Solutions ◽  
External Forces ◽  
Propagation Of Elastic Waves

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.

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