Dynamic Response and Vibration of a Cantilevered Beam under an Accelerated Moving Mass

In this research we investigate dynamic responses and vibration of a cantilevered beam subjected to a moving mass with variable speeds. Governing equations of motion under a moving mass are derived by Galerkin's mode summation method considering the effects of all forces acting on the beam (gravity force, Coriolis force, inertia force caused by a slope of the beam, and transverse inertia of the beam). A Runge-Kutta integration method is then applied to calculate dynamic responses of the beam. The effects of the speed, acceleration and the magnitude of the moving mass on the response of the beam are investigated in these numerical analyses. Furthermore, experimental tests are conducted to validate our analysis.