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Estimation of Structural Component Loads in Helicopters: A Review ...

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DSTO-TN-0239weight. The study aimed to predict alternat<strong>in</strong>g component load (the amplitude <strong>of</strong> the loadover one ma<strong>in</strong> rotor revolution) dur<strong>in</strong>g a given manoeuvre.The measured data were filtered us<strong>in</strong>g deletion, smooth<strong>in</strong>g (via averag<strong>in</strong>g), and b<strong>in</strong>separation. As noted earlier by Haas [23], coupl<strong>in</strong>g <strong>of</strong> regression parameters (such ascollective and longitud<strong>in</strong>al stick position) led to an improved model. A set <strong>of</strong> perturbationparameters (the absolute value <strong>of</strong> the difference between the control <strong>in</strong>put and the steadyflight value) was also found to give good results when used <strong>in</strong> the regression analysis. Thehigh-load data po<strong>in</strong>ts were given a higher weight<strong>in</strong>g (and thus higher <strong>in</strong>fluence) <strong>in</strong> theregression model when compared to low-load data po<strong>in</strong>ts.Us<strong>in</strong>g 24 flight parameters, Tang and M<strong>of</strong>fat [25] used stepwise multiple regression tomodel the loads experienced by three dynamic helicopter components: pitch hous<strong>in</strong>g leadlag lug, ma<strong>in</strong> rotor blade, and tail rotor fork. N<strong>in</strong>eteen flight test conditions were used t<strong>of</strong>ormulate the flight load models, with an additional four flights used to validate the model(<strong>in</strong> a bl<strong>in</strong>d test). Three load models were developed for each component: maximum meanload, m<strong>in</strong>imum mean load, and maximum load range. In addition, 10 signal features werealso extracted from each <strong>of</strong> the 24 flight parameters. These 10 features were the mean, meansquare, maximum, m<strong>in</strong>imum, amplitude, and standard deviation <strong>of</strong> the time signal, as wellas normalised time duration above 25, 50, 75, and 90% <strong>of</strong> the peak.The step multiple regression models began with a l<strong>in</strong>ear approximation and subsequentlyadded higher order non-l<strong>in</strong>ear terms. These terms were either <strong>in</strong>troduced, based on the F-to-enter statistic, or removed on the F-to-remove statistic. The authors cite Montgomeryand Peck [26] for further details. Three flight load models were formulated for eachcomponent: maximum load range (RNG), maximum mean load (MAX), and m<strong>in</strong>imummean load (MIN). The pitch hous<strong>in</strong>g lead-lag lug models for the MAX, MIN, and RNG(MMR) were l<strong>in</strong>ear and had correlation coefficients <strong>of</strong> 0.80, 0.96, and 0.96 respectively. Thema<strong>in</strong> rotor blade models for the MMR had correlation coefficients and model types <strong>of</strong> 0.70and l<strong>in</strong>ear, 0.89 and l<strong>in</strong>ear, and 0.95 and second order respectively. F<strong>in</strong>ally the tail rotor forkmodels for the MMR had correlation coefficients and model types <strong>of</strong> 0.92 and second order,0.92 and second order, and 0.96 and non-l<strong>in</strong>ear, respectively. The flight test parametersampl<strong>in</strong>g rate varied (depend<strong>in</strong>g on the parameter) between 60–500 Hz. In contrast, theoperational flight data recorder’s sampl<strong>in</strong>g rate varied only between 1–20 Hz. Nodegradation <strong>in</strong> performance was noted when the sampl<strong>in</strong>g rate was reduced from the flighttest rate to the operational flight rate. The models developed were partitioned manually<strong>in</strong>to time w<strong>in</strong>dows, vary<strong>in</strong>g between 0.5–22 seconds, to co<strong>in</strong>cide with the duration <strong>of</strong> themanoeuvre. When the data were later partitioned <strong>in</strong>to constant six-second durationw<strong>in</strong>dows, the results <strong>of</strong> all models were degraded. When the data reduction and a constantsix-second time w<strong>in</strong>dow were used on the bl<strong>in</strong>d data sets, the models were no longeradequate. The authors state that one <strong>of</strong> the four bl<strong>in</strong>d test data sets was spurious, and onceremoved the results improved.11

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