Vibration Analysis of Turbine Blade Using Finite Element Method

Analysis of the vibration of a cantilever beam under rotation is performed using the finite element technique. The Hamilton principle is used to derive the coupled dynamic equations of a rotating, tapered, pre-twisted cantilever Timoshenko beam from the nonlinear Von Kármán strain and the related linear stress. To carry out finite element analysis, the equations of motion are discretised using the weighted residual technique. MATLAB Codes are generated. The effect on natural frequencies of dimensionless parameters is studied. 3D blade is designed, and natural frequencies are computed using Finite element method in Ansys and correlation between the two models is analysed.