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Dispersion in Cylinders

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(@shahrom)
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Joined: 12 years ago

As you may know wave propagation in circular cylinders is dispersive (its response depends on the frequency). As shown by Pochhammer, there could be several different modes propagating in a cylinder with different wave speeds. Im modeling a finite 3D circular cylinder is LS-DYNA with solid elements and Im applying a sinusoidal pressure along the cylinder axis at one end while the other end is free. Based on Pochhammer solution at a certain frequency there could be different modes propagating in the cylinders with different speeds. Ive observed this in ultrasonic experiment. I apply sinusoidal pressure wave at one end of a circular cylinder and receive the signal at the other end and I can see different modes propagating with different speeds at different frequencies. My question is why I dont see this effect in my 3D FE model? All I see in my FE model is the 1st mode propagating in the cylinder in all different frequencies.

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