Symmetric and asymmetric buckling of rotating eccentric annular plate

Abstract

The thermo-induced buckling, including the symmetric and asymmetric buckling, of rotating eccentric annular plate is investigated. And the splitting phenomenon in buckling caused by structural eccentricity is at the core of the present paper. To overcome the computational difficulty resulted from the irregular physical field of the eccentric annular plate, the transformed differential quadrature method is adopted to solve the governing equations. The governing equations and boundary conditions are discretized directly in the physical domain by utilizing the conformal mapping. The combined effects of eccentricity, boundary conditions, geometric dimensions, and rotational motion on the buckling of annular plate are discussed through parameter studies. The eccentricity leads to the splitting of asymmetric buckling of eccentric annular plate. With the increase of eccentricity, this phenomenon becomes more obvious. Meanwhile, the variation tendency of critical buckling temperature rise is closely related to the number of pitch diameter in buckling mode. The sequence of symmetric and asymmetric buckling appears is affected by the boundary conditions. To a certain extent, the rotational motion inhibits the splitting phenomenon in buckling arose from the eccentricity.