Abstract
In this paper the double linearization theory applied to lightly loaded two-dimensional subsonic and supersonic cascades undergoing oscillation with chordwise displacement or flexible deformation is presented. Numerical computation based on this theory have been conducted to demonstrate parametric dependence of the unsteady aerodynamic work on blades. The translational oscillation can be destabilized by chordwise displacement for both subsonic and supersonic cascades. The contribution of chordwise displacement to the unsteady aerodynamic work is strongly dependent upon the phase difference between the chordwise and normal components of the blade motion. The unsteady aerodynamic work for flexible blade motion also is substantially influenced by steady loading. For the supersonic cascades, the effect of displacement of Mach line reflection points due to the chordwise blade motion gives a significant contribution to the unsteady aerodynamic force.
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