Research on the High Speed Bending of Beams with a Punch

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This paper deals with the theory and the experiment on the large plastic deformation of simply supported and clamped beams without axial constraint, each of which is struck with a punch. The equation of motion of beam is solved simultaneously with the equation of the stress wave propagation in the punch so that the condition of contact between the beam and the punch may be satisfied, and the result is compared with the experimental result and moreover with the usual theoretical result in which the punch is assumed to be rigid. Following conclusions are obtained. (1) Plastic deformations of beams proceed while the pundh and the beam are repeating collision and separation. This phenomenon is interesting because it is similar to the ultrasonic woking. (2) The usual theory over-estimates the dynamic yield bending moment of the beam. (3) Since the plastic hinge occupies the position between the impact point and the supports of the beam at the early stage of bending, the straight sides of the bent beams curve inversely.
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