C. Bacon, AN EXPERIMENTAL-METHOD FOR CONSIDERING DISPERSION AND ATTENUATION IN A VISCOELASTIC HOPKINSON BAR, Experimental mechanics, 38(4), 1998, pp. 242-249
An experimental method is developed to perform Hopkinson tests by mean
s of viscoelastic bars by considering the wave propagation attenuation
and dispersion due to the material rheological properties and the bar
radial inertia (geometric effect). A propagation coefficient, represe
ntative of the wave dispersion and attenuation, is evaluated experimen
tally. Thus, the Pochhammer and Chree frequency equation is not necess
ary. Any bar cross-section shapes can be employed, and the knowledge o
f the bar mechanical properties is useless. The propagation coefficien
ts for two PMMA bars with different diameters and for an elastic alumi
num alloy bar are evaluated. These coefficients are used to determine
the normal forces at the free end of a bar and at the ends of two bars
held in contact. As an application, the mechanical impedance of an ac
celerometer is evaluated.