The Earthquake Engineering Online Archive

Extensional Waves in a Semi-Infinite Hollow Elastic Rod

McNiven, Hugh D.; Shah, Arvind H.

UCB/SESM-1966/05, Dept. of Civil Engineering, University of California, Berkeley, 1966-06, 24 pages (500/C23/66/05)

As in solid rods, it is found that a train of extensional waves striking the traction-free end of a hollow rod will reflect as a pure extensional wave and two secondary waves with complex conjugate wave numbers. The two secondary waves account for an end mode in which the motions are large at the end of the rod and diminish exponentially away from the rod end. The approximate theory used predicts that resonance for the end mode will be excited over a very narrow band of frequencies but that within this band the motions will be very large.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-66-05.pdf (853 KB)