discontinuity in displacement?

Aug 13, 2007 3 Replies

First reply

Brian Whatcott

...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…

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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!


...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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