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Application of Discrete Fourier Series in the Stress Analysis of Cylindrical Shells of Variable Thickness with Arbitrary End Conditions
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 proposed to solve boundary-value stress—strain problems for cylindrical shells with thickness varying in two coordinate directions. The approach employs discrete Fourier series to separate circumferential variables. This makes it possible to reduce the problem to a one-dimensional one, which can be solved by the stable discrete-orthogonalization method. Examples are given __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 6, pp. 85–94, June 2005.
Keywords:cylindrical shell  variable thickness  discrete Fourier series  discrete orthogonalization
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