PAPER TITLE :SHORT COMMUNICATION ON THE INFLUENCE OF MASS PER UNIT LENGTH ON THE VIBRATION OF SIMPLY SUPPORTED RAYLEIGH BEAM UNDER THE ACTION OF MOVING LOAD

FUTA JOURNAL OF RESEARCH IN SCIENCE | VOLUME 9 NUMBER 1 2013

Paper Details

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

The dynamic response of a simply supported Rayleigh beam to moving load is investigated in this work.
The Finite Fourier Sine transformation is used to reduce the governing fourth order partial differential
equation to a second order ordinary differential equation which is solved using the Laplace
transformation and the convolution theory. It is observed that as the value of the mass per unit length ?
of the beam increases, the deflection amplitude of the beam increases. The investigation of the state of
resonance reveals that an increase in the mass per unit length of the beam decreases the critical speed of
the moving load. This suggests that additional mass should be reduced as much as possible in order to
guarantee the safety of the load moving on the structure [e.g vehicles parking on bridges should be
avoided because it adds to the mass of the bridge].
Keywords: Rayleigh beam, Simply supported, Resonance, Rotatory inertial, Critical speed.