The Plastic Deformation Due to Impact of a Cantilever Beam With an Attached Tip Mass

Abstract

Abstract A theoretical analysis, based on the assumption of ideal plastic-rigid behavior, is made of the deformation of a uniform cantilever beam with an attached lip mass, which results from a transverse acceleration of the base of the cantilever. The problem is also investigated experimentally and an assessment is made of the theoretical work. A simplified analysis based on a one-dimensional model is found to give results which are very close to those obtained by analysis of the continuum model, but in both cases it is found that corrections must be applied to obtain good results, because of effects neglected in both analyses. In the case of the experimental models tested, the principal correction appears to be that for strain-rate effects.