The Effect of Boundary Conditions on Resonant Ultrasonic Spherical Chains

The response of a resonant chain of spheres to changes in holder material and precompression is studied at ultrasonic frequencies. The system is found to be very sensitive to these parameters, with the creation of impulsive waveforms from a narrow bandwidth input seen only for certain chain lengths and holder materials. In addition, careful experiments were performed using known amounts of precompression force, using a calibrated stylus arrangement. At negligible precompression levels, impulses were generated within the chain, which were then suppressed by increased precompression. This was accompanied by large changes in the propagation velocity as the system gradually changes from being strongly nonlinear to being more linear. Simulations using a discrete model for the motion of each sphere agree well with the experimental data.