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Additional resources for Aircraft Performance & Design
9 Von Karman and Dryden gust psd's; L = 2500 ft. 44 r~N c -F V xVertical- lateral gust \\/ (Equati on (4-16)) \\ \\ ust o CO Longitudinal c (Equation (4- 17)) A\ aw = 1 f ps x X \ \V - \\ \\ \\ \\ _> o 10 V o Power Spectral Density, (ft/sec) 2 /(cycle/ft) GUST LOADS ON AIRCRAFT O o \\ \ 10-5 > i i i ii11 ID'4 1 1 1 1 1 1. 1 TO'3 : i , ! , , , « 10-2 ^|r, cycles/ft Fig. 10 Von Karman vertical-lateral and longitudinal gust psd's; L = 2500 ft. function of two variables, the frequency argument and L* In Figs.
In practice, however, in the sampling of actual measured gust velocity and gust loads time histories, we are usually confined to dealing with one time history at a time—and all too short in duration at that! 3) J -cc The term probability distribution is also used in a general sense to include the probability density. To distinguish P(y) fromp(y), P(y) is often referred to as the cumulative probability distribution, although this term is sometimes reserved for the quantity \ — P(y); see Eq. 3a).
3 Random-walk probabilities. 5 and the three values added. What is the probability density of the sum? 5 and if all three are added, ~/. ) It is seen that, even if we add only three variables, the probability density bears a striking resemblance to the Gaussian probability density. The resemblance is even more impressive when an accurately plotted Gaussian curve is actually superimposed. It can be shown that as the number of variables sampled and summed increases without limit, the probability does indeed approach the Gaussian.