Dynamics of a plate with elastically attached mass

In this paper, we consider the problem of the dynamic load of a beam by an impacting body in the presence of an intermediate damper - a spring of a given stiffness. The obtained equations for the joint movement of the beam - spring - body system consists of equations for the deflection of the beam and the equation of motion of the body, taking into account the stiffness of the spring. The problem is solved by the integral Laplace transform in time. To invert the obtained solution, the numerical Durbin method is used. Using this method, graphs of solutions are constructed that allow us to observe the behavior of the body and calculate the deflection of the beam at a time. Also shown is the dependence of the required functions on the main parameters of the problem: spring stiffness and bending stiffness of the beam.