Eigenfrequency spectrum analysis of bending vibrations for naturally swirled rod

Abstract

Abstract The paper presents a numerical method for calculation of eigenfrequency vibration for naturally twisted rod considered as a first approximation model of a real blade of a gas turbine engine (GTE). The proposed method is based on the method of a fifth-degree spline developed by the authors. This method makes possible to solve fourth-order differential equations very accurately that arising in problems of transverse vibrations of rods. These research are focused on studying the more complex vibration process of a rod's spatial bending unlike the known works where bending vibrations are considered only in a single plane.