Dispersion and Cut-Off Phenomena in Rods and Beams
Final rept. 1 Jan-30 Sep 1978 on phase 1
CAMBRIDGE ACOUSTICAL ASSOCIATES INC MA
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This study was proposed to ONR Structural Mechanics Program as a result of in-house research which led to the conclusion that uniform structural waveguides of small transverse dimensions 1 display a vanishing impedance at every modal cut-off frequency 2 that each cut-off frequency coincides with the natural frequency of the corresponding standing-wave mode of the cross section, the modal configuration being independent of the z-coordinate defined here as the coordinate along the waveguide axis. The preliminary study was restricted to homogeneous waveguides whose cross-section and material properties are z-independent. Furthermore, as already stated the analysis was limited to waveguides whose transverse dimension was small enough to eliminate thickness vibrations, e.g. Euler beams on distributed springs, simply-supported strips, and thin cylindrical shells.
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