Abstract
This paper presents the double linearization theory applied to lightly loaded two-dimensional subsonic and supersonic cascades undergoing oscillation with chordwise displacement or nonrigid deformation. Numerical computation based on this theory has been conducted to study parametric dependence of unsteady aerodynamic work on blades. Chordwise displacement can be favorable or unfavorable for stabilizing the translational oscillation, depending upon the phase difference between the chordwise and normal components of the blade motion. For supersonic cascades, the effect of displacement of Mach line reflection points due to the chordwise blade motion gives significant contribution to unsteady aerodynamic forces. The unsteady aerodynamic work for nonrigid blade motion is also substantially influenced by steady loading.
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