Vibration of Beams with General Boundary Conditions due to a Moving Random Load

M. Abu-Hilal

2003 Archive of Applied Mechanics 72, 637-650.

Abstract:

The transverse vibrations of elastic homogeneous isotropic beams with general boundary conditions due to a moving random force with constant mean value are analyzed. The boundary conditions considered are pinned-pinned, fixed-fixed, pinned-fixed, and fixed-free. Based on Bernoulli beam theory, the problem is described by means of partial differential equation. Closed form solutions for the variance and the coefficient of variation of the beam deflection are obtained and compared for three types of the force motion: accelerated, decelerated, and uniform motion. The effects of beam damping and the speed of the moving force on the dynamic response of beams are studied in detail.