Analytical and Numerical Prediction for Dynamic Responses of an Elastically and Damply Supported Beam Subjected to Blast Loads

摘要

An elastically and damply supported beam is investigated analytically and numerically in order to understand the effects of springs and dampers fixed in ends on the structural responses. Firstly, the kinetic equations of elastic vibration are derived. The equations of the forced vibration of the beam are obtained by the Lagrange equations. The responses of the beam subjected to two typical blast loads with long and short durations are analyzed. And the discussions to the effects of the spring and damper on the linear response of the beam are made. Secondly, the nonlinear responses of an elastically and damply supported beam subjected to blast loads is investigated by the finite element code ABAQUS. It is demonstrated that fixing springs and dampers in end supports can increase the resistance of beams subjected to blast loads, based on the analytical and numerical prediction.