A recurrence matrix solution for the dynamic response of aircraft in gusts

John C. Houbolt
Mar 1950

A systematic procedure is developed for the calculation of the structural response of aircraft flying through a gust by use of difference equations and matrix notation. The use of difference equations in the solution of dynamic problems is first illustrated by means of a simple-damped-oscillator example. A detailed analysis is then given which leads to a recurrence matrix equation for the determination of the response of an airplane in a gust.

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