By Bernard Etkin
Aimed toward upper-level undergraduates, graduate scholars, and execs, this article matters the dynamics of atmospheric flight, with specialize in aircraft balance and keep watch over. an intensive set of numerical examples covers STOL airplanes, subsonic jet transports, hypersonic flight, balance augmentation, and wind and density gradients. The booklet comprises 260 illustrations.
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Extra info for Dynamics of Atmospheric Flight
A random variable over the range - oo < t < oo does not satisfy the condition for C ( w ) to exist as a point function of w . 3,2) with nw, -+ w and C, -+ dc. 6 Line spectra of a function. e. sinusoidal and of amplitude dc. 3,Q). e. as the average (ensemble or time) of the product of the two variables with time separation T. If vl(t) = v2(t)it is called the autocorrelation,otherwise it is the cross-correlation. ) 25 - = v12 A nondimensional form of R ( T )is the correlation coefficient Js. e. the autocorrelation is an even function of T .
2,3a) that 52 Dynamics of atmospheric fright STATIC GAIN Consider the output y(t) that results from the unit-step input x(t) = l ( t ) . 3,17)therefore gives lim y ( t ) = lim sjj(s) = lim G(s) t'ao s-to s-ro This limit is the static gain, K , so that K = lim G(s) s-to EXAMPLE Let us find the transfer function of the second-order system of Fig. 3. 4,1),in which f (t) is the input and x(t) is the output. 2,l) The static gain K is found to be P K = lim C(s) = s-o 0,b2 SYSTEMS IN SEDilES When two subsystems are in series, as in Pig.
The experimental method is based in any case on the analytical formalism that we develop in the following. The procedure begins, of course, with the application of the appropriate physical laws that govern the behavior of the system. When the complete set of equations that express these laws has been formulated, i t will, for linearlinvariant systems, usually appear as a set of coupled differential equations of mixed order. A particularly simple example (the second-order system) was given above, and it demonstrates what may be called the direct method of finding transfer functions.
Dynamics of Atmospheric Flight by Bernard Etkin