Dear mech community,
I just had an argument in linear beam theory concerning the displacement of a beam with punctual momentum load under consideration of shear stresses. I claim a discontinuity of displacement at the location of punctual momentum. Is that true?
Many thanks in advance to the honorable character to share its knowledge!
no
...or to meander a little further in that direction: When a mechanical transmission line receives a point impulse, call it a Dirac pulse, that pulse propagates at the local speed of sound. Depending on the acoustic match, the traveling wave may be evanescent or it may continue to a discontinuity, like the ends....
Brian Whatcott Altus OK
Thanks Bob,
though precise, this 2-byte answer is not quite satisfactory. What if the punctual momentum is the limit of a sinusoidal shear force? The integral forces would be null while the momentum is finite.
Max
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