Abstract
This paper presents a quasi-static aeroelastic theory for predicting the ovalling oscillations of thin cylindrical shells in cross flow. The flow is treated as a superposition of the measured viscous mean flow and a potential flow associated with deformation of the shell. The existence of the wake is taken into account, but flow within it associated with the formation of vortices, is entirely ignored. The aerodynamic forces are formulated by means of strip theory and the dynamics of the shell are described by means of Flugge's equations. It is found that at sufficiently high flow velocities, the shell becomes subject to oscillatory instabilities associated with negative aerodynamic damping. The principal observed characteristics of ovalling oscillation are qualitatively predicted by theory, but critical flow velocities are overestimated by a factor ranging from 1·6 to 5.
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