The transient dynamics of a moving mass traveling on an eccentric path along a finite simple supported inextensible beam

► The model of a finite beam with an eccentric path was determined. ► The equation of motion of a mass traveling on an eccentric path along a beam was derived. ► The shapes of eccentricity of the path were determined. ► The effects produced by the eccentricity to the dynamics of a beam-mass system were studied.