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Using Spline Functions to Solve Boundary-Value Problems for Laminated Orthotropic Trapezoidal Plates of Variable Thickness
Authors:Ya M Grigorenko  N N Kryukov  N S Yakovenko
Institution:(1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine;(2) University of Economics and Transport Technology, Kiev, Ukraine
Abstract:The bending problem for laminated orthotropic trapezoidal plates of variable thickness is solved by parametrizing the domain of interest and reducing the two-dimensional boundary-value problem to one-dimensional using the spline-collocation method. The resulting problem is solved by the stable discrete-orthogonalization method. The influence of orthotropy and the variability of the thickness on the displacement and stress fields is analyzed__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 85–93, April 2005.
Keywords:laminated plates  orthotropy  stress analysis
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