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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(1):89-99; doi:10.1093/qjmam/12.1.89
© 1959 by Oxford University Press
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AN IMPROVEMENT ON DONNELL'S APPROXIMATION FOR THIN-WALLED CIRCULAR CYLINDERS

L. S. D. MORLEY

( (Royal Aircraft Establishment Farnborough) )

Donnell's equation for thin-walled circular cylinders is replaced by

where w is a non-dimensional form of the radial displacement and q is the distributed radial loading. This equation retains the essential simplicity of the original but, unlike Donnell's equation, the accuracy does not decrease as the wavelength of circumferential distortion increases.


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