2D moving element method for random vibration analysis of vehicles on Kirchhoff plate with Kelvin foundation

VEHICLE-PAVEMENT COUPLING SYSTEMS MAY PRODUCE RANDOM VIBRATION DUE TO THE ROAD SURFACE UNEVENNESS. IN THIS PAPER, A KIRCHHOFF PLATE WITH KELVIN FOUNDATION IS EMPLOYED TO MODEL THE PAVEMENT SYSTEM AND THE ONE-DIMENSIONAL MOVING ELEMENT METHOD PROPOSED BY KOH ET AL. IS EXTENDED TO DEAL WITH THE RANDOM VIBRATION OF TWO-DIMENSIONAL VEHICLE-PAVEMENT COUPLING SYSTEMS. THE PLATE ELEMENT STIFFNESS MATRIX IS FORMULATED IN A COORDINATE SYSTEM WHICH MOVES WITH THE LOAD AND THE EQUATION OF MOTION OF THE COUPLED SYSTEM IS ESTABLISHED. THE PSEUDO EXCITATION METHOD IS USED TO ANALYZE RANDOM VIBRATION OF THE COUPLED SYSTEM AND THE INFLUENCES ON THE RESPONSES BOTH OF THE VEHICLE VELOCITY AND OF THE PAVEMENT DAMPING ARE INVESTIGATED BY USING NUMERICAL EXAMPLES. HENCE USEFUL CONCLUSIONS ARE DRAWN.