Beschreibung:
<jats:p>This paper presents a study of the propagation of elastic waves in the walls of cylindrical shells. Two modes of propagation in the axial direction are found to exist; at high frequencies, the one corresponds to flexural waves, the other to longitudinal waves. The dispersion curves are in good agreement with published experimental data. Hitherto available analyses are based on the membrane theory of shells, which disregards bending stresses; these analyses lead to partly different conclusions in that they predict a “dead” frequency region where no propagation occurs, and in that they do not account for the high-frequency flexural mode. The discrepancy carries over into the evaluation of the natural frequencies of the tube, and of the dispersion of pressure waves propagating in liquid-filled tubes. Published experimental data on the latter process at ultrasonic frequencies also support the present analysis.</jats:p>
<jats:p>Results of this analysis have been applied to the investigation of the dynamics of barium titanate transducers in the form of cylincrical shells. Some important concepts of sound insulation by lightweight partitions, such as the “coincidence dip,” depend essentially on the ratio of the sound velocity in air to the phase velocity of elastic waves in the partition; the present analysis might therefore also find a practical application in the adaptation of these concepts to cylindrical surfaces, such as the skin of aircraft fuselages or architectural shells.</jats:p>