Free transverse Vibration analysis of rectangular plate with multiple line-concentrated mass using DQEM

In this paper, the transverse vibration of a rectangular platewith multiple line concentrated masses is investigated byusing differential quadrature element method (DQEM).Governing equation and boundary and compatibilityconditions are formulated based on differential quadraturerules. The boundary conditions are simply supported in thedirection of width of plate and arbitrary in the direction ofits length. The compatibility conditions at the position ofconcentrated mass are assumed as the continuity oftransverse displacement, rotation and bending moment anddiscontinuity in the transverse force due to the accelerationof the concentrated mass. The effects of number, magnitudeand position of the masses and boundary conditions on thevalue of natural frequency are investigated. The accuracy,convergence and efficiency of the proposed method areconfirmed by comparing the obtained numerical results withthe exact solutions of the other researchers.