Response of beam with viscously damped axial force on elastic foundation

This paper examined the response of beam with viscously damped axial force on elastic foundation. The effects of the moving loads on beam with respect to the moving force and the moving mass were examined. The fourth order partial differential equation which is the governing equation was solved in form of series solution to obtain two distinct equations for both the moving force and the moving mass. These were finally solved numerically using maple software to determine the behaviour of the system under consideration. The results of the findings revealed that as damping coefficient (ω) increases the deflection decreases for both the moving force and the moving mass. In the same way, it was also noted that the deflection decreases as axial force (S) increases for both the two cases. It was also discovered that as elastic foundation (K) increases the deflection increases for both the moving force and the moving mass. Lastly, it was showed that the displacement for the moving mass is greater than that of the moving force.