Estimation of Nonconservative Aerodynamic Pressure Leading to Flutter of Spinning Disks

Effect of High-Frequency Excitation on Natural Frequencies of Spinning Discs

“…The higher modes of the disc may be excited by the high-frequency parametric excitation given by operator (3) and stresses (6). In the following separation of motion it is presumed that such resonances with the higher modes do not occur.…”

“…These are axisymmetrical, and the derivations described above lead to the axisymmetrical stresses giving by equation (6). The radial dependencies of the stresses are…”

“…The lower asymmetrical modes of the clamped}free discs are the critical modes in the case of critical speed resonance instabilities (e.g., references [1}3]) or aeroelastic instabilities (e.g., references [5,6]). In both cases, the increased linear sti!ness due to the fast parametric excitation can stabilize the plane equilibrium of a disc spinning faster than its critical speed.…”

“…The derivation of the resulting membrane stresses (6) is based on the assumption of plane-stress, negligible inplane material accelerations compared to the body forces, and compatible linearized Lagrangean strains, i.e., the e!ect of midplane stretching is neglected.…”

Aeroelastic Flutter of Circular Rotating Disks: A Simple Predictive Model

“…This kind of damping frequently occurs in hydrodynamic lubrication theory when analyzing disks with small transverse clearances such as #oppy disks [7}9]. Hansen et al [5] and Kim et al [6] argue that this form of damping can be found in disks rotating in an unbounded #uid and provide an experimental measurement technique for predicting aeroelastic #utter based on this idea. However, they do not provide any theoretical model for predicting #utter.…”