Abstract
Abstract
A dimensionless form of transient solution for a single reversal of a uniform bar is derived and interpreted in terms of reflected stress waves. It is shown that the maximum bar stress is simply related to the function that specifies the reversal of the bar and to the ratio of the return time (defined as the time for a longitudinal wave to propagate twice the length of the bar) to the reversal time. Uniformly distributed viscous damping may increase the maximum bar stress.
This “one reversal” solution is invaluable for determining maximum stresses in cam-driven traverse bars on fibre-winding machines which carry uniformly spaced yarn guides. It can conveniently be used to determine the stress due to a regular succession of reversals and thereby provide solutions for continuous reciprocation, including resonant conditions, without recourse to Fourier analysis.
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