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On a Discrete Fourier Series Solution to Static Problem for Conical Shells of Circumferentially Varying Thickness
Authors:Ya M Grigorenko  V A Tsybul'nik
Institution:(1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine
Abstract:An approach is developed to solve the two-dimensional boundary-value problems of the stress-strain state of conical shells with circumferentially varying thickness. The approach employs discrete Fourier series to separate variables and make the problem one-dimensional. The one-dimensional boundary-value problem is solved by the stable discrete-orthogonalization method. The results obtained are presented as plots and tables __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 9, pp. 26–37, September 2005.
Keywords:conical shells  varying thickness  discrete Fourier series  discrete-orthogonalization method
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