A Simplified Application of the Method of Operators to the Calculation of Disturbed Motions of an Airplane
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A simplified treatment of the application of Heaviside's operational methods to problems of airplane dynamics is given. Certain graphical methods and logarithmic formulas that lessen the amount of computation involved are explained. The problem representing a gust disturbance or control manipulation is taken up and it is pointed out that in certain cases arbitrary control manipulations may be dealt with as though they imposed specific constraints on the airplane, thus avoiding the necessity of any integration. The application of the calculations described in the text is illustrated by several examples chosen to show the use of the methods and the practicability of the graphical and logarithmic computations described.
[1] E B Wilson. Theory of an Aeroplane Encountering Gusts. , 1916, Proceedings of the National Academy of Sciences of the United States of America.