The CUF models may be adopted for the study the dynamics of rotating bodies. Both rotary-wing and spinning structures can be considered. The equations of motion include all contributions of the rotational speed, namely the gyroscopic, the pre-stress and the spin softening terms. According to the linearized approach, the pre-stiffening matrix is computed through a preliminary static analysis. The accuracy of the higher-order theories enables the 3D stress state due to the centrifugal and thermal forces to be adequately described. The equations of motions can be derived with respect to the co-rotating reference frame and the inertial reference frame.
M. Filippi and E. Carrera, "Dynamic Analyses of Axisymmetric Rotors Through Three-Dimensional Approaches and High-Fidelity Beam Theories", ASME - Journal of Vibration and Acoustics (December 2017).
A. Entezari, M. Filippi and E. Carrera, "On dynamic analysis of variable thickness disks and complex rotors subjected to thermal and mechanical prestresses". Journal of Sound and Vibration 405 (2017), pp. 68-85.
E. Carrera and M. Filippi, "Variable Kinematic One-Dimensional Finite Elements for the Analysis of Rotors Made of Composite Materials", ASME - Journal of Engineering for Gas Turbines and Power (April 2014).