Vibration of a thin rectangular plate subjected to series of moving inertial loads

• Vibration of a rectangular plate under multiple moving inertial loads is discussed.
• A SS-F-SS-F fixity is regarded as the plate boundary condition.
• Two streams of inertial loads traveling in opposite directions are considered.
• The presented model is related to a two-lane slab-type bridge vibration.
• The plate resonance is explored versus loads inertia, velocity and spacing.

In this article, the resonance of a rectangular plate due to multiple traveling masses is studied. Two series of moving inertial loads traversing the plate surface along parallel rectilinear trajectories with opposite directions are considered. This investigation is of significance in engineering mechanics dealing with the vibration of two-lane slab-type bridges under the moving vehicles. The peak values of DAF (dynamic amplification factor) are determined with respect to the variation of loads velocity and inertia as well as their spacing.