Dynamical response of a cantilever beam under moving mass with fractional damping

Abstract In the present paper, dynamical response of a cantilever beam with fractional damping excited by moving mass load is studied. First, vibration equation established adopting Euler-Bernoulli theory. Then, discretized using Galerkin discretization. The discrete difficult to solve due damping. Based on generalized harmonic function technology, force approximated and conservative force. an efficient algorithm used calculated truncated derive response. displacement at end calculated, influence coefficients analysed.