Abstract
A theory of propagation of longitudinal stress waves in a cylindrical rod with several step changes in cross-sectional area is given. Damping and wave dispersion effects are not considered. The analysis obtains a transient solution of the one-dimensional wave equation by means of Laplace transform methods; it is based on the concepts of travelling waves and reflection and transmission coefficients. The theory is applied to wave propagation in a rod with a simple neck, formed by two inverse changes in cross-section, which is pulled at one end. Results, obtained by strain gauge measurements, show good agreement with the theory. The frequency equation of free vibration is briefly discussed.
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