Error analysis of turbulence velocity measurements made with a probe mounted on an aircraft wing tip

The effect of rolling motion of a wing on the magnitude of error introduced due to the wing vibration when measuring atmospheric turbulence with a wind probe mounted on the wing tip is investigated. The wing considered has characteristics similar to that of a B-57 Cambera aircraft, and Von Karman's cross spectrum function is used to estimate the cross-correlation of atmospheric turbulence. Although the error calculated is found to be less than that calculated when only elastic bendings and vertical motions of the wing are considered, it is still relatively large in the frequency's range close to the natural frequencies of the wing so as that either accelerometers mounted on the wing tip are needed to correct for this error, or the atmospheric velocity data must be appropriately filtered.