*Arnoldi, Walter E.*

*naca-rm-8i07*

*1949*

This report presents a theoretical analysis of the flexural vibration of an aircraft propeller blade subjected to harmonic aerodynamic exciting forces at a fixed multiple of propeller rotational frequency. The flexural vibration of a rotating propeller blade with clamped shank is analyzed with the object of presenting, in matrix form, equations for the elastic bending moments in forced vibration resulting from aerodynamic forces applied at a fixed multiple of rotational speed. Matrix equations are also derived which define the critical speeds and mode shapes for any excitation order and the relation between critical speed and blade angle.

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