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An Investigation of Elastic Waves with Imaginary and Complex Wave Numbers in Hollow Rods

McNiven, Hugh D.; Sackman, Jerome L.; Shah, Arvind H.

UCB/SESM-1965/14, Dept. of Civil Engineering, University of California, Berkeley, 1965, 17 pages (500/C23/65/14)

The approximate theory governs the relationship between frequency and wave length for the lowest 3 modes of motion. In the spectrum this relationship is represented by spectral lines; 3 on the real plane, one "loop" on the imaginary plane, and one complex branch. This paper pays special attention to the imaginary and complex branches in order to ascertain the quality of the approximate theory when the wave number is imaginary or complex. This quality is judged by how close the imaginary and complex branches from the approximate theory lie to the comparable branches from the exact theory.

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