Abstract
The dynamic response of a semi-infinite elastic-hardening-softening beam subjected to a suddenly applied moment and a constant transverse velocity at the tip is analyzed. Four dynamic response modes are identified, and each mode contains one or more deformation regions. Which mode appears depends on a certain combination of the parameters of the beam and loading. It is demonstrated that in one of these modes, a softening region exists and propagates along the beam. When the impact velocity is sufficiently high, a local failure may appear at the loading point. It is evident that the dynamic behavior of beams with softening property is dramatically different from that in static case where Wood's paradox dominates.
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