Abstract
The longitudinal waves in a viscoelastic rod of finite thickness are studied, taking into account the effect of radial inertia. The equation of motion used in this work is an application of the Love-Rayleigh theory for an elastic rod. An analytical solution of the transient response is obtained to examine the influence of radial motion on axial strain-time history. In addition, the attenuation and dispersion characteristics in the frequency region are discussed. Some experiments are performed on polymethyl methacrylate (PMMA) specimens with the view to evaluating the adequacy of the equation of motion. It is found that the theoretical predictions provide reasonable estimations of the strain-time history as well as of the attenuation and dispersion properties.
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