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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 references12

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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

                Journal
                Frattura ed Integrità Strutturale
                Gruppo Italiano Frattura
                01 July 2014
                : 8
                : 29
                Article
                c0fab967001241df99a0353bddee81f0
                dc07c322-a558-493b-9e1e-33a30664017a

                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/

                History
                Categories
                Mechanical engineering and machinery
                TJ1-1570
                Structural engineering (General)
                TA630-695

                Materials technology,Materials properties,Materials characterization,Engineering,Civil engineering,Mechanical engineering
                Free Vibration Analysis

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