Vibration of a Beam Excited by a Moving Flexible Body
The vibration of a beam excited by a moving simple oscillator is an extensively studied problem. However, the vibration of a beam excited by an elastic body with conformal contact has attracted much less attention. This is the subject of the present paper. The established model is a big improvement to the moving oscillator model and has many engineering applications. Because the moving body is flexible, the moving loads at the contact interface are not known a priori and must be determined together with the dynamics of the whole system. Considerable mathematical complication arises as a result, compared with the moving-oscillator problem, even if the contact is assumed to be complete. In this paper, the equation of motion of the beam and the moving body are established separately using an analytical-numerical combined approach. The equation for the moving loads is established through the displacement continuity at the contact interface. It is found from the simulated numerical results that the deflection of the beam displays several cycles of oscillation during the passage of the moving body and can exceed the maximum static deflection at moderate speeds, but is close to the static deflection when the speed is either very low or very high.
Patrick Sean Keogh
H. J. Ouyang and J. E. Mottershead, "Vibration of a Beam Excited by a Moving Flexible Body", Applied Mechanics and Materials, Vols. 5-6, pp. 457-464, 2006