## A Least Squares Method for the Reduction of Free-oscillation Data |

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AA,aQ Aeat sin(pt Ames Research Center amplitude Amplitude response amplitude and amplitude amplitude of transients Amplitude response amplitude Amplitude response Least amplitude response method amplitude response plots BePt sin(qt convergence corrections damping ratios data points equation A2 experimental data Fortran Fourier Transform FREE-OSCILLATION DATA Hammerhead Models Hand faired data indicated in figure initial estimates least squares method Least squares Peak Library Distribution Number linear equations Maximum digitized value Moffett Field natural frequency nine equations Normalized standard deviation number of cycles one-degree-of-freedom transient partial derivatives Peak amplitude Amplitude peak amplitude method Peak Least squares phase angle plotted in figure radians recorded in table REDUCTION OF FREE-OSCILLATION residual equations response Least squares response method gives results obtained shown in figure sients squares Peak amplitude squares Peak Least transient data Transient F true parameters two-degree-of-freedom analysis two-degree-of-freedom system two-degree-of-freedom transient units as y(t vector zero offset