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Published October 15, 2014 | Submitted
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A Multimode Analysis for Calculating Buckling Loads of Imperfect Cylindrical Shells

Abstract

By expanding the response of a cylindrical shell in truncated Fourier series, the nonlinear Donnell type shell equations for imperfect stiffened shells were reduced to a set of linear equations in the correction terms by Newton's method of quasilinearization. Solutions were obtained for isotropic and for ring and stringer stiffened shells. The amplitudes of the initial imperfections used in the analysis were calculated from the corresponding Imbert-Donnell imperfection models. The free parameters in this imperfection model were obtained by least square fitting the harmonics of the experimentally measured initial imperfections. It was possible in all cases to achieve satisfactory correlation using only a few suitably chosen deflection and imperfection modes.

Additional Information

© 1974 California Institute of Technology. C.I.T. SM 74-4. Firestone Flight Sciences Laboratory, Guggenheim Aeronautical Laboratory, Karman Laboratory of Fluid Mechanics and Jet Propulsion. This work was supported by the National Science Foundation under Grant GK 16934.

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Created:
August 19, 2023
Modified:
October 17, 2023