The power turbine disk within the secondary air system of aero-engines operates under high-speed conditions and is subjected to severe vibrations, which pose significant safety risks to the engine system. To address this issue while meeting the high thrust-to-weight ratio requirements of modern engine designs, this study explores the application of body center cubic (BCC) lattice sandwich structures for light weighting the turbine disk while maintaining its structural integrity and dynamic performance. Focusing on the free vibration behavior of rotating annular plates, this paper presents a theoretical model grounded in three-dimensional elasticity theory and equivalent plate theory. In this model, the annular plate structure adopts a BCC lattice sandwich configuration to accommodate structural lightweighting requirements. The system’s energy formulations are mathematically established. The development of the governing equations is predicated on the utilization of a modified Fourier series, a methodological framework that facilitates the delineation of the vibrational characteristics of annular plates. Convergence analysis was performed to verify the efficacy of the series solution, with comparative validation against finite element software results confirmed model accuracy. Additionally, a parametric investigation was conducted to examine the influence of lattice parameters, geometric dimensions, and rotational speed on natural frequencies and critical speeds in the BCC lattice sandwich annular plate model. The findings offer valuable references for engineering design and future research.
Liu et al. (Thu,) studied this question.