The vibration of beams carrying uniform moving distributed masses is investigated in this paper. A finite element (FEM) based on the first shear deformation theory (FSDT) is assumed for the beam model. A ten degree of freedom beam element for the FSDT theory is considered. Combination of the element property matrices for moving mass and the associated overall property matrices for the beam determines the overall effective property matrices of the entire system. The equations of motion are integrated by applying the Newmark’s procedures to obtain the system responses. The numerical results of vibration of beams are presented and, whenever possible, compared to the available results in order to demonstrate the accuracy of the present method. Effect of the Coriolis and centrifugal forces induced by the moving distributed mass are investigated. Numerical results reveal that all above mentioned parameters have significant influence on dynamic responses of inclined beams.
Keywords: moving distributed mass, Coriolis force, centrifugal force, inclined beam, first order shear deformation theory, heaviside function, finite element method, FEM, Newmark’s time integration procedures, 10-dof linear beam element