FUTA JOURNAL OF RESEARCH IN SCIENCE

VOLUME 13 NUMBER 2 2017

Paper Details

  • Title :INFLUENCE OF PRESTRESS ON THE VIBRATION OF CANTILEVER PLATE RESTING ON BI-PARAMETRIC FOUNDATION
  • Author(s) : Awodola, T. O.
  • Abstract:

The influence of prestress on the response to moving concentrated masses of prestressed cantilever rectangular plate resting on bi-parametric (Pasternak) elastic foundation is investigated in this work. A technique based on separation of variables is used to reduce the governing partial differential equation with variable and singular coefficients to a set of coupled second order ordinary differential equations which are decoupled and simplified using a modification of the Struble’s technique, the simplified equations are solved using the method of integral transformations. The numerical results in plotted curves show that the response amplitudes of the cantilever plate decrease as the value of the axial force (prestress) in x-direction (Nx) increases; the axial force in y-direction (Ny) also produces the same effect for both cases of moving force and moving mass problems of the prestressed cantilever rectangular plate resting on Pasternak elastic foundation. However, higher values of Ny are required for a noticeable effect than Nx, this implies that Nx which is the prestress in the x-direction (the assumed direction of motion) has greater influence on the deflection of the cantilever plate than Ny. 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, Analysis of the closed form solution shows that the critical speed for the moving mass problem is reached prior to that of the moving force problem which implies that the moving force solution is not a safe approximation to the moving mass problem of the prestressed cantilever rectangular plate resting on Pasternak elastic foundation.
Key words: Cantilever, Prestress, Pasternak, Critical Speed, Moving Force, Moving Mass