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The strong formulation finite element method: stability and accuracy

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      Abstract

      The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique for solving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the Differential Quadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM and FEM giving a highly accurate strong formulation based technique with the adaptability of finite elements. The present study investigates the stability and accuracy of SFEM when applied to 1D and 2D structural components, such as rods, beams, membranes and plates using analytical and semi-analytical well-known solutions. The numerical results show that the present approach can be very accurate using a small number of grid points and elements, when it is compared to standard FEM.

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      Most cited references 12

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      Differential Quadrature Method in Computational Mechanics: A Review

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        Differential quadrature and long-term integration

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          General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels

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            Author and article information

            Affiliations
            [1 ] University of Bologna
            Journal
            Frattura ed Integrità Strutturale
            Gruppo Italiano Frattura
            01 July 2014
            : 8
            : 29
            : 251-265
            7e149033c06b4fc5a6a9f8885955ee1a

            This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            Categories
            Materials of engineering and construction. Mechanics of materials
            TA401-492
            Electrical engineering. Electronics. Nuclear engineering
            TK1-9971
            Technology
            T

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