New rational interpolation functions for finite element analysis of rotating beams

摘要: A rotating beam finite element in which the interpolating shape functions are obtained by satisfying governing static homogenous differential equation of Euler–Bernoulli beams is developed this work. The turn out to be rational also depend on rotation speed and position along account for centrifugal stiffening effect. These yield Hermite cubic when becomes zero. new applied dynamic analysis beams. In case, a cantilever having tip load considered, with radially varying axial force. It found that gives very good approximation deflection analytical series solution value, as compared classical given functions. analysis, uniform, tapered hinged boundary conditions determine natural frequencies, results compare well published literature.