A numerical analysis is presented for the transient behavior of a rotating turbines blades. The response due to partial admission during start-up and resonance pass is considered, Modal analysis and numerical integation method are used for solving the problems A theory for determining the material and aerodynamic damping values of turbine blades is presented. The damping values of the various modeling of blaes-uniform beam and tapered twisted beam-are calculated and the influence on blades response is investigated. The effect of angular velocity on transient response are also shown.