Dynamical Behaviours of Elastically Connected Double-Beam Systems Subjected to an Impulsive Load

Abstract

Dynamical behaviours of two beams connected with a set independent springs and subjected to an impulsive load are investigated taking the effect of the mass of springs into account. The solution is formulated by the method of the Laplace transformations with respect to both time and space variables, which allows one to analyze all the major performance characteristics in the system subjected to an arbitrarily distributed impulsive load. As a numerical example, the case of a concentrated half-sine impulsive force applied to the mid point of the upper beam is treated. It becomes evident that the amplitudes of deflection and bending moment in the beams decrease as the mass of the springs increases. The response curves are also compared with those for the mass-less springs of Wikler type. It is found that the similarities between the two responses diminish as the mass of the springs increases.