Abstract

When a periodic force is applied to a complex vibrator, the motion builds up exponentially in much the same manner as that of a point-mass compliant-element vibrator. But, in addition, a transient is generated that resembles very much the switching-on transient of a high-pass filter. It consists of a spike followed by a rapidly decaying sinusoidal vibration of a frequency equal to the cutoff frequency of the filter, which is practically equal to the forcing frequency. If the forcing frequency is close to a resonance frequency, a decaying component of this frequency may also appear in the result. At an antiresonance frequency of the vibrator, the modal contributions counteract each other and the resultant steady-state amplitude is very small. But, the transient components have different frequencies and do not cancel each other. They generate a beat phenomenon of considerable amplitude with a carrier frequency that is practically equal to the forcing frequency. The transients at the beginning and at the end of a pulse of a transducer that need to be used in a wide frequency range are, therefore, just as useful for measurements with sinusoidal tone bursts as the steady-state sound between them. Theory and experimental results will be presented. [Work supported by ONR, code 474.]

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