ACCELERATING LOAD ON A ROTATING RAYLEIGH BEAM

The response of a rotating Rayleigh beam subjected to an axially accel erated distributed surface line load is studied. Clamped-clamped, clam ped-pinned, and clamped-free support conditions and four types of load velocity profiles are treated. Galerkin's method is used to suppress spatial dependence in the equations of motion; the resulting time depe ndent equations are numerically integrated. Results are presented for the beam displacement in the direction of the load and the gyroscopica lly induced transverse component. The effects of load speed, beam rota tional speed, and geometry are studied, the potential for control of t he beam vibrations by adjustment of the load velocity profile is discu ssed.