Dispersion and Cut-Off Phenomena in Rods and Beams
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1978
- Accession Number
- ADA066491
Entities
People
- John E. Cole Iii
- Miguel C. Junger