Dynamic analysis of rotating shafts using the absolute nodal coordinate formulation

A finite-element based absolute nodal coordinate formulation (ANCF) is applied to dynamic analysis of high-speed rotating shafts. To this end, a four-node higher-order ANCF beam element with third-order derivatives in the axial and cross-section directions is studied. Using a number of eigenfrequency, static and dynamic benchmark tests, it is shown that the beam element is capable of capturing complex cross-section deformation modes. It is further shown with dynamic benchmark tests with a flexible shaft that the beam element is accurate also in high-speed applications. Based on the numerical results, it is concluded that the beam element can capture cross-section deformation and is thus suitable for analysis of radial expansion in a rotating shaft. •A higher-order beam element based on absolute nodal coordinate formulation is examined in a rotor system application.•The beam element is capable of capturing complicated mode shapes accurately in high frequency.•In the dynamic test the beam element accurately predicts cross section expansion.