Method for vibration damping using superelastic alloys

A method is provided for damping vibrations in a turbine. The method includes performing structural dynamics analysis on the turbine to determine at least one area of high vibrational stress on the turbine, and performing thermal analysis of the turbine to determine at least an approximated maximum operating temperature at the area of high vibrational stress. Additionally, the method includes utilizing hysteresis damping to dampen operational vibrations. The hysteresis damping includes selecting a shape memory alloy (SMA) having a martensitic-to-austenite transformation temperature substantially similar to the approximate maximum operating temperature of the component at the area of high vibrational stress, and disposing the selected SMA on the turbine on the related area of high vibratory stress.