Measurements of nonlinear effects in a driven vibrating wire
Journal of the Acoustical Society of America
Experimental measurements have been made of the motion of a red brass harpsichord wire driven electromagnetically in a fixed direction perpendicular to the equilibrium position of the wire. The motion is complex compared to that predicted by simple linear theory because of effects due to tensional changes and longitudinal motions. Optoelectronic detectors are used to measure amplitude and phase of the transverse motions as functions of the driving frequency, both in the driving direction y and the direction z perpendicular to v. Near the free-vibration fundamental frequency f0 the z and y amplitudes are comparable even for a very low driving force and amplitude. Amplitude jumps and hysteresis effects are observed for large amplitudes. The z-y phase difference is measured as 0, 90, and 180 in different frequency regions, yielding both planar and whirling or tubular motion. As the driving frequency increases, the phase difference between the driving force and the y motion varies steadily from 0 to 90 before jumping to 180. There is no evidence of a critical frequency of onset of the z motion as is predicted in some theoretical treatments. Similar effects are observed near 3f0, for which amplitude measurements have been made down to 0.01 μm for a 0.71-m-long wire. © 1994, Acoustical Society of America. All rights reserved.
Original Publication Date
DOI of published version
Hanson, Roger J.; Anderson, James M.; and Kent Macomber, H., "Measurements of nonlinear effects in a driven vibrating wire" (1994). Faculty Publications. 4385.