Dynamic Response of a Rotating Beam Subjected to a Random Moving Load
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文摘
The problem of transverse vibrations of homogeneous isotropic rotating beams due to the passage of different types of loads is of considerable practical interest. Using analytical and numerical methods, this paper investigates the stochastic dynamic response of a rotating simply supported beam subjected to a random force with constant mean value moving with a constant speed along the beam. The beam is modelled by Euler–Bernoulli, Rayleigh, and Timoshenko beam models. The problem is formulated by means of partial differential equations. Closed form solutions for the mean and variance of the response for the three models are obtained. The results show the effect of load speed, beam rotating speed, and geometrical size of the beam on the random response of the beam represented by some random dynamic coefficients.