THE ACCURACY OF APPLYING LINEAR PISTON THEORY TO CYLINDRICAL SHELLS
CALIFORNIA INST OF TECH PASADENA GRADUATE AERONAUTICAL LABS
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The aerodynamic pressure acting on a circular cylindrical shell of infinite length in an air flow parallel to the cylinder axis is studied. The shell is deformed by a harmonically oscillating standing wave of a sinusoidal pattern. Based upon the exact solutions, asymptotic expansions are developed for the aerodynamic pressure. In this manner the accuracy of the linear piston theory approximation, when applied to cylindrical shells, is investigated. Further more improved approximations can be obtained from these asymptotic expansions.