Article
Pulse transmission in elastic exponential and conical shells
International Journal of Mechanical Sciences
(1981)
Abstract
A theoretical and experimental investigation was conducted to ascertain the response of an axisymmetric exponential shell and of a hollow cone with identical terminal dimensions and lengths, both composed of aluminum, to central longitudinal impact by steel spheres. The principal tests were concerned with loading at the small end and an open distal section; in a few cases, the large end was covered by a relatively thin aluminum plate and subjected to central impact by the various strikers. The range of initial velocities for the 3.175, 6.35 and 12.7 mm diameter pneumatically-fired steel spheres was from 7.6 to 60 m/s, while 23.7 and 50.8 mm steel balls were propelled in a pendulum arrangement at about 1.2 m/s. The input was monitored by a quartz crystal, while the waves were detected by a set of foil gages. A one- and a two-dimensional numerical analysis were executed for a typical set of experimental conditions of the first wave transit in both systems when struck at the small end: the results were in good correspondence with experimental data. The exponential shell exhibited the theoretically predicted cut-off behavior beyond a certain pulse duration which was also found previously in the case of a geometrically similar solid exponential rod. Correspondingly, the conical shell evidenced enormous attenuation, but not complete cut-off beyond such critical impact duration when the wave process was initiated at the small end. The much greater dispersion and attenuation relative to that of the solid bars is primarily due to wall bending of the specimens.
Disciplines
Publication Date
1981
DOI
10.1016/0020-7403(81)90020-5
Publisher Statement
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Citation Information
Freidoon Barez and Werner Goldsmith. "Pulse transmission in elastic exponential and conical shells" International Journal of Mechanical Sciences Vol. 23 Iss. 11 (1981) p. 661 - 675 ISSN: 0020-7403 Available at: http://works.bepress.com/freidoon_barez/5/