DYNAMIC BEHAVIOR OF A DAMPED SHEAR BEAM RESTING ON A VLASOV FOUNDATION

The response behavior of a damped shear beam resting on Vlasov foundation when traversed by moving load travelling at constant velocity is investigated in this study. The governing equations are coupled second order partial differential equations. The Finite Fourier integral transform technique was adopted to reduce the governing the motion of this class of dynamical problem to sequence of coupled second order ordinary differential equations. Thereafter, the simplified equations of the beam-load system were then solved by Laplace transformation. The solution obtained was analyzed to obtain the conditions under which resonance will take place and speeds at which this may occur. Also, the displacement response for the dynamical problem was calculated for various values time t and the effects of pertinent structural parameters on the response of prestressed shear beam when under the action of the moving load were presented in plotted curves.