Abstract
Temporal convolution techniques [T. L. Geers, J. Acoust. Soc. Amer. 51, 1640–1651 (1972)] are used to obtain solutions for the problem of transient acoustic scattering by nonlinear cylindrical scatterers. These scatterers behave like cavities during the initial stages of motion, but then offer increasing dilatational resistance with increasing deformation. In contrast to the results of previous studies [M. L. Baron, J. Appl. Mech. 24, 501–505 (1957) and J. Appl. Mech. 28, 135–136 (1961)], it is found that such “modified cavities” are indeed capable of effective transient pressure attenuation in the surrounding fluid without the generation of unacceptable pressure pulses at later times. Parameter studies for plane, step-exponential incident waves are performed to establish suitable ranges for the modified cavity stiffness parameters.
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