PAPER TITLE :DYNAMIC BEHAVIOUR UNDER MOVING MASSES OF PRESTRESSED AND ELASTICALLY SUPPORTED PLATES RESTING ON WINKLER FOUNDATION

FUTA JOURNAL OF ENGINEERING AND ENGINEERING TECHNOLOGY | VOLUME 9 NUMBER 1 2015

Paper Details

  • Author(s) : Awodola, T. O.
  • Abstract:

The dynamic behaviour of prestressed and elastically supported rectangular plates under moving concentrated
masses and resting on Winkler elastic foundation is investigated in this work. This problem involves non-classical
boundary conditions; it is solved using a technique based on separation of variables and a modification of Struble's
technique, the solution is illustrated with two common examples of non-classical boundary conditions often
encountered in engineering practice. The numerical results in plotted curves show that the response amplitudes of the
plates decrease as the value of the axial force in x-direction (Nx) increases, the response amplitudes also decrease as
axial force in y-direction (Ny) increase for both cases of moving force and moving mass problems of the prestressed
and elastically supported rectangular plate resting on Winkler elastic foundation for the illustrative examples
considered. The deflection of the plate also decreases as the value of the rotatory inertia correction factor R0
increases. Also, for fixed values of Nx and Ny, the transverse deflections of the rectangular plates under the actions of
moving masses are higher than those when only the force effects of the moving loads are considered and the critical
speed for the moving mass problem is reached prior to that of the moving force problem. It is further shown that the
moving force solution is not a safe approximation to the moving mass problem which implies that it is risky to rely on a
design based on the moving force solution. The response amplitudes of the moving mass problem increase with
increasing mass ratio and approach the response amplitudes of the moving force as the mass ratio approaches zero
for the prestressed and elastically supported rectangular plates resting on Winkler elastic foundation.