Dynamic Behavior of Functionally Graded Beams Traversed by A Moving Random Load

Abstract

In this paper, dynamic behavior of functionally graded beams excited by a random moving load has been studied. The beam has been modeled by Euler-Bernoulli beam theory. The equation of motion has been derived and solved by transforming it into state space. The mean square of beams deflection at any arbitrary point has been calculated and expressed as an integral equation. Compared to methods of analysis of random vibration and computation of root mean square, this equation can be easily solved numerically with high accuracy and less computational effort. An example of a functionally graded beam traversed by random moving load has been solved and the effect of the structural damping of the beam on the resulting root mean square of the deflection of the beam has been investigated. Keywords: functionally graded beams; random moving load; Galerkin method; state-space