Free vibration of elastically restrained cantilever tapered beams with concentrated viscous damping and mass

In this paper the free vibration frequencies of Euler–Bernoulli tapered beams are deduced. The symbolic software Mathematica is used in order to find the free vibration frequencies of a beam carrying a tip mass, a single dashpot at an arbitrary location and elastically constrained at left. The frequency equation is deduced and analytically solved. Various numerical examples are investigated.