Methods for Calculating Bending Moment and Shear Force in the Moving Mass Problem

Abstract

Two methods able to capture with different levels of accuracy the discontinuities in the bending moment and shear force laws in the dynamic analysis of continuous structures subject to a moving system modeled as a series of unsprung masses are presented. The two methods are based on the dynamic-correction method, which improves the conventional series expansion by means of a pseudostatic term, and on an eigenfunction series expansion of the continuous system response, which takes into account the effect of the moving masses on the structure, respectively.