DYNAMIC PLASTIC BEHAVIOR OF A FREE-ROTATING HINGED BEAM STRIKING A CANTILEVER BEAM*

Abstract

A study was made of the dynamic plastic response of two deformable beams colliding with each other. The driving beam, which was a free-rotating hinged beam with a tip mass at the free end, strikes at the tip mass of a target cantilever beam, which was stationary. Complete solutions based on the rigid, perfectly plastic material idealization were obtained for various deformation mechanisms during the dynamic response process of the two plastic beams. Typical numerical examples are presented to demonstrate [[1]1. Symonds , P. S. 1967. “Survey of Methods of Analysis for Plastic Deformation of Structure Under Dynamic Loading”. In Division of Engineering Report BU/NSRDC/ 1–67. Providence, RI: Brown University. View all references] the dynamic plastic behavior of the system after collision between two rectangular beams, as well as between an Ishaped beam and a rectangular beam; and [[2]2. Symonds , P. S. and Frye , C. W.G. 1988. On the Relation Between Rigid-Plastic and Elastic-Plastic Predictions of Response to Pulse Loading. Int. J. Impact Eng., 7: 139–149. View all references] the influence of the tip mass ratio on the plastic deformation of the driving and target beams.