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By M. A. Perry

ISBN-10: 1483198367

ISBN-13: 9781483198361

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STONE problems. The only difficulties which may then arise are due to non-linearities in the system. The basic test set-up is shown in Fig. 15 employing a swept sine signal with automatic frequency tracking. R. circuit is given in Fig. 14a. Usually this type of system can be analysed very rapidly and the limitations on sweep rate are determined by: (a) The analyser filter characteristics. (b) The characteristics of the system being studied. Clearly if nothing is known about (b) beforehand it may be necessary to use several sweeps to define the system.

16b, it is clear that after one cycle there will be exact equality. The correlation function is thus a periodic function, in fact a sinusoidal one, Fig. 16c. The intermediate stage of band-limited noise. Figs. 17a and b, will produce a function approximately of (sin x)lx form, as in Fig. 17c. It will be noted that there is an inverse spreading relationship between the spectrum and the autocorrelation function (a similar relationship was noted in Figs. 5a and b). This is in fact the result of the important Wiener-Khitchine theorem, that the autocorrelation function and the power spectrum are Fourier transform pairs.

Reference 1. CRANDELL, S. H . and MARKS, W . D . Random Vibration in Mechanical Systems, A NEW METHOD FOR ANALYSING RANDOM PROCESSES G. COUPRY Office National d'Etudes et de Recherches Aérospatiales Introduction During the past three years, the Department of Structures at O N E R A has been interested in the response of flexible airplanes to flight turbulence, and numerous flight tests have been performed. At the beginning, nearly all the standard methods for reducing random processes—with all their qualities and shortcomings—were used for the analysis of the flight data.

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Aerospace Instrumentation. Proceedings of the Fourth International Aerospace Symposium by M. A. Perry

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